Model

Problem 3001

Write the expanded notation for 412.638 using fractions and decimals. What did Nancy and Charles write?

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Problem 3002

a. Find the power for the surface area of a cube. b. Find the power for the volume of a cube. Surface area: $6s^2$ , Volume: $s^3$ .

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Problem 3003

Model the city's population growth from 2020 ( $1,596,000$ with a $3.5\%$ annual increase) using the function $f(x)$ .

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Problem 3004

Find the slope-intercept form of the line through (1,3) and (0,-3).

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Problem 3005

The equation for "3 less than the product of 4 and 5" is: $4 \times 5 - 3$ .

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Problem 3006

A pool has 15,600 gallons and loses $5\%$ of water daily. How much will remain in 11 days? Round to the nearest whole number.

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Problem 3007

Luis cooks for 20+ people, with vegetarian meals at \$3 and meat meals at \$4.50. Budget is \$100, with at least 6 of each. Write the inequalities.

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Problem 3008

Let $x$ be hours worked in housecleaning and $y$ in sales. Write the inequalities: $x + y \leq 41$ and $5x + 8y \geq 254$ .

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Problem 3009

At 10:00 a.m. (t=0), bacteria grow as follows: 30, 90, 270, 810. Find a function $f(t)$ to model this growth.

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Problem 3010

Pilar buys pizzas at \$9 each and cookies at \$5 per pound, with a max budget of \$50. She needs at least 3 pizzas and 2 pounds of cookies. Find the inequalities and graph them.

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Problem 3011

Express "One does not think hard" symbolically, given $s$ : "One thinks hard".

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Problem 3012

Unit 2 Week 2 Mastery Check: (40 Points) Note: You may use this website https://www.desmos.com/calculator to help you graph anything. \#1: Graph $\log _{2} x$ using $x=2,4,8,16,32$ (Count by 4's along the $x$ -axis up to 32 and go by 1 's up to 5 on the $y$ -axis) (5 Points)

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Problem 3013

8. Describe a real-world situation that the number -20 represents. Explain what 0 represents in your situation.

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Problem 3014

11 B I U A Name:
Exponential Growth/ Exponential Decay Date: $\qquad$ Period: $\qquad$ d. In how many days total will the video stop being a fan favorite?
The typical student loan has an interest rate of approximately $5 \%$ . This means a $\$ 20,000$ loan paid off over 10 years will end up costing you $\$ 28,900$
The New Jersey Volleyball Association invited 64 teams to compete in a tournament. After each round, half of the teams were eliminated. Create an equation that represents the number of teams, $t$ , that remained in the tournament after r rounds. I

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Problem 3015

Translate the sentence into an inequality. Four subtracted from $y$ is less than -15 . $\square$

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Problem 3016

Graph the line whose $x$ -intercept is -1 and whose $y$ -intercept is 3 .

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Problem 3017

Graph the solution to the following system of inequalities. $\begin{array}{l} y>5 x+4 \\ y \geq-2 x-7 \end{array}$

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Problem 3018

En la siguiente figura, $m \angle M K J=137^{\circ}$ . (a) Escribir una ecuación para hallar x. Asegurarse de utilizar un signo de "=" en su respuesta.
Ecuación: $\square$ (b) Resolver para $x$ . $\square$ $x=$

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Problem 3019

The population of a small town in central Florida has shown a linear decline in the years 1989-2001. In 1989 the population was 35900 people. In 2001 it was 26900 people. A) Write a linear equation expressing the population of the town, $P$ , as a function of $t$ , the number of years since 1989. Answer: $\square$ B) If the town is still experiencing a linear decline, what will the population be in 2006? $\square$

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Problem 3020

3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank rate of $16 \frac{3}{4}$ liters per minute. The tank also has a drain that allows solution to leave the tank at a rate $19 \frac{4}{5}$ liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complet sentences. Answer:

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Problem 3021

Utilizar la figura para hallar el valor de $x$ . (a) Escribir una ecuación para hallar $x$ . Asegúrese de utilizar un signo de " $=$ " en la respuesta.
Ecuación: $\square$ $\square$ (b) Resolver para $x$ . $x=1$ $\square$

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Problem 3022

Figure 1 A sled of mass $m$ slides down a rough ramp with a constant speed $v_{0}$ . The angle between the ramp and the horizontal is $\theta$ , as shown in Figure 1. The ramp smoothly transitions to a horizontal surface. The coefficients of static and kinetic friction between the sled and the ramp are $\mu_{s}$ and $\mu_{b}$ respectively. The ramp and the horizontal surface are made of identical materials. (a) The dot in Figure 2 represents the sled when the sled is sliding down the ramp at a constant speed. Draw and label arrows that represent the forces (not components) that are exerted on the sled. Each force in your free-body diagram must be represented by a distinct arrow starting on, and pointing away from the dot.

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Problem 3023

En la figura, $m \angle 1=(8 x)^{\circ}$ y $m \angle 2=(x-9)^{\circ}$ . (a) Escribir una ecuación para hallar $x$ . Usar el signo de " = " en la respuesta.
Ecuación: $\square$ (b) Calcular la medida en grados de cada ángulo. $\begin{array}{l} m \angle 1=\square^{\circ} \\ m \angle 2=\square^{\circ} \end{array}$

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Problem 3024

(1 point) The graph below is a vertical and/or horizontal shift of $y=1 / x$ (assume no reflections or compression/expansions have been applied). (a) The graph's equation can be written in the form $f(x)=\frac{1}{x+A}+B$ for constants $A$ and $B$ . Based on the graph above, find the values for $A$ and $B$ . $A=$ $\square$ and $B=$ $\square$ (b) Write your answers from part (a) as a single fraction. $f(x)=\frac{M x+C}{x+D}$ for constants $M, C$ , and $D$ . What are the values of $M, C$ , and $D$ ? $M=$ $\square$ $C=$ $\square$ , and $D=$ $\square$

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Problem 3025

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. $\begin{array}{r} y=10 x-x^{2}, y=x ; \text { about } x=12 \\ \int_{0}(\square) d x \end{array}$ Submit Answer

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Problem 3026

Write the system of equations as an augmented matrix. $\left\{\begin{array}{l} 4 x-4 y=-44 \\ -7 x-y=-99 \end{array}\right.$ $\square$ $\square$ Reduce the matrix into reduced row echelon form. $\square$ $\square$ $\square$ $\square$ Determine the solution to the original system of equations. $(x, y)=$ $\square$

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Problem 3027

The point $\left(5 \frac{5}{8}, 2 \frac{1}{4}\right)$ lies on the graph of a linear function that represents a proportional relationship. Part A Write an equation for this function. What is the slope?

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Problem 3028

5) A rung on a hamster wheel, with a radius of 25 cm , is travelling at a constant speed. It makes one complete revolution in 3 seconds. The axle of the hamster wheel is 27 cm above the ground. a) Sketch a graph of the height of the rung above the ground during two complete revolutions, beginning when the rung is closest to the ground.

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Problem 3029

Write the system of equations as an augmented matrix. $\left\{\begin{array}{l} -3 x+6 y-6 z=-54 \\ -2 x+3 y-7 z=-106 \\ -7 x-3 y-7 z=-272 \end{array}\right.$
Reduce the matrix into reduced row echelon form.
Identify the solution to the original system of equations. $(x, y, z)=(4,-1,6) \times$

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Problem 3030

1. You can write an equation to solve comparison problems. An equation is a number sentence that uses the equal sign ( $=$ ) to show that two expressions have the same value. Phrases, such as times as many as or more than, can be used to compare quantities.
Compare with Multiplication There are 6toys and 3 times as many books. How many books, $b$ , are there?
Compare with Addition There are 6 toys. There are 12 more books than toys. How many books are there? $b=3 \times 6$ $b=6+12$ $b=$ $\qquad$ books $b=$ $\qquad$ books

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Problem 3031

Find the equation of the exponential function represented by the table below \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 5 \\ \hline 1 & 2.5 \\ \hline 2 & 1.25 \\ \hline 3 & 0.625 \\ \hline \end{tabular}
Answer Attempt 1 out of 2

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Problem 3032

CL 3-113. Two brothers, Martin and Horace, are in their backyard. Horace is taking down a brick wall on one side of the yard while Martin is building a brick wall on the other side. Martin lays 2 bricks every minute. Meanwhile, Horace takes down 3 bricks each minute from his wall. They both start working at the same time. It takes Horace 55 minutes to finish tearing down his wall. a. How many bricks were originally in the wall that Horace started tearing down? b. Represent this situation with equations, tables, and a graph. c. When did the two walls have the same number of bricks?

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Problem 3033

1. Use a tape diagram to represent the following calculations. Give the final result. (a) $\frac{3}{5}$ of $30=$ (b) $\frac{7}{9}$ of $72=$

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Problem 3034

an wof find What is the ?
16. Stancha diganith Ste has 28 magness Sne amanges the magness impo 4 equal couss wite an equarion using a lener to $=$ equesent the urkioum value to find how thand magness are in each rour.

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Problem 3035

Consider the system of linear equations shown below: $\begin{array}{c} 2 x+9=-4 y \\ -x-y=2 \end{array}$
Create the coefficient matrix, $D$

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Problem 3036

1. Détermine l'équation du lieu du point $P$ dont la somme des distances aux points $K(-11,4)$ et $L(7,4)$ est égale à 30 unités. $\qquad$

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Problem 3037

Consider the system of linear equations shown below: $\begin{array}{l} 2 x+9=-4 y \\ -x-y=2 \end{array}$ create the matrix, $D_{x}$

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Problem 3038

Write inequalities to represent the situations below.
To ride a roller coaster, a visitor must be taller than $\mathbf{5 2}$ inches. Use h to represent the height (in inches) of a visitor able to ride. $\square$
To get the $\mathbf{1 0 \%}$ discount, a shopper must spend no less than $\mathbf{\$ 5 0 0}$ . Use $\mathbf{d}$ to represent the spending (in dollars) of a shopper who gets the discount. $\square$

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Problem 3039

14. Through $(5,7)$ and $(-1,3)$

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Problem 3040

Find the equation for the parabola that has its focus at the $\left(\frac{5}{4},-3\right)$ and $h$ directrix at $x=\frac{35}{4}$ . equation is $(y+3)^{2}=30(x-9.375)$ Video 1 Video 2 Post to forum

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Problem 3041

Write the standard form of the equation of the circle with the given center and radius. Center $(-7,2), r=5$

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Problem 3042

Cost, Revenue, and Profit You decide to begin selling bags of peanuts at the local star wars convention. Your cost for each bag of peanuts is $\$ 0.90$ plus you have to pay a fee of $\$ 120$ each week for the booth. Your plan is to sell each bag of peanuts for \$2.83.
Note that in business, costs are any money you pay out. Revenue is any money you receive through sales. Profit is total revenues minus total costs.
1. Write a function, $C(n)$ , to represent your total costs for the week if you sell $n$ bags of peanuts. $C(n)=$ $\square$
2. Revenue is the amount of money you earn from selling bags of peanuts. Write a function, $R(n)$ , to represent the revenue from the sale of $n$ bags of peanuts during the week. $R(n)=$ $\square$
3. Write a function, $P(n)$ , that represents the profits for selling $n$ bags of peanuts in a given week. Recall that profit is found by subtracting costs from revenue, i.e., $P(n)=R(n)-C(n)$ . $P(n)=$ $\square$
1. What is the $x$ -coordinate of the break even point? Write your answer as a whole number. $\square$
2. Complete the following sentence to explain the meaning of your previous answer:
In order not to lose money, I need to sell at least $\square$ bags of peanuts Submit Question

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Problem 3043

1. Katherine works no more than 20 hours each week. Babysitting earns her $\$ 8$ an hour anc working as a hostess earns her $\$ 10$ per hour. She needs to earn at least $\$ 180$ each week to save for the car she wants. Write and solve a system of linear inequalities that displays all possible combinations of hours she could work at each job to reach her goal. $x=$ number of babysitting hours $y=$ number of hostessing hours

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Problem 3044

$5-4$ Standardized Test Prep
Point-Slope Form Multiple Choice For Exercises 1-5, choose the correct letter.
1. Which equation is equivalent to $y-6=-12(x+4)$ ? A. $y=-6 x-48$ C. $y=-12 x-42$ B. $y=6 x-48$ D. $y=-12 x-54$
2. Which point is located on the line represented by the equation $y+4=-5(x-3) ?$ F. $(-4,-5)$ G. $(-5,-4)$ H. $(3,-4)$ I. $(-3,4)$
3. Which equation represents the line that passes through the points $(6,-3)$ and $(-4,-9)$ ? A. $y+4=-\frac{3}{5}(x+9)$ C. $y-3=\frac{3}{5}(x+6)$ B. $y+4=\frac{5}{3}(x+9)$ D. $y+3=\frac{3}{5}(x-6)$
4. Which equation represents the line shown in the graph? F. $y=-3 x-2$ G. $y=3 x+2$ H. $y+4=-3(x-2)$ l. $y+8=-3(x-2)$
5. The population of a city increases by 4000 people each year. In 2025 , the population is projected to be 450,000 people. What is an equation that gives the city's population $p$ (in thousands of people) $x$ years after 2010? A. $p=4 x+450$ C. $p-15=4(x-450)$ B. $p-450=4(x-15)$ D. $p=4 x+15$
Short Response
6. The table shows the cost of a large cheese pizza with additional toppings on it. a. What is an equation in point-slope form that represents the relationship between the number of toppings and the cost of the pizza? \begin{tabular}{|c|c|} \hline Toppings & Cost (\$) \\ \hline 2 & 10.50 \\ \hline 3 & 11.75 \\ \hline 5 & 14.25 \\ \hline \end{tabular} b. What is the graph of the equation?

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Problem 3045

Points: 0 of 1
Graph the solution set of the system of linear inequalities. $\begin{array}{l} x+y \leq 5 \\ x-y \geq 6 \end{array}$
Use the graphing tool to graph the system. Graph the region that represents the correct solution only once. $\square$ Click to enlarge graph

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Problem 3046

3. In 2017 Rickard Rakell scored 26 goals after playing the first 53 games for the Anaheim Ducks. If the NHL season is 82 games long, and his scoring rate stayed consistent, how many goals can you expect Rakell to have scored by the end of the season?
4. In the year 2000 , there were approximately 500 million computers in use and it was projected that the amount of computers would increase at a rate of $10 \%$ each year. Based on this model, how many computers were in use in the year 2005? Round to the nearest millions of computers.

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Problem 3047

Graph the solution of the system of inequalities. $\begin{array}{r} 2 x+4 y<8 \\ x-y<5 \end{array}$
Use the graphing tool on the right to graph the system of inequalities.

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Problem 3048

A bacteria cylture starts with 220 bacteria and grows at a rate proportional to its size. After 6 hours the population doubled. (a) Express the population $A$ after $t$ hours as a function of $t$ . (b) What will be the population after 7 hours? (c) How long will it take for the population to reach 2530? (a) Express the population $A$ after $t$ hours as a function of $t$ . $A(t)=$ $\square$ Round $k$ to 4 decimal places.) (b) What will be the population after 7 hours?
Approximately $\square$ bacteria. (Do not round until the final answer. Then round to the nearest whole number as needed.) (c) How long will it take for the population to reach 2530? in approximately $\square$ hours. (Do not round until the final answer. Then round to the nearest hundredth as needed.)

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Problem 3049

Linear Functions Use the given information to write a function.
9. A line passes through the points $(5,4)$ and $(-3,3)$ .
10. A line passes through the points $(-4,2)$ and $(1,-3)$ .
11. A line passes through the points $(1,5)$ and $(-5,3)$ .
Equations (Math 7/8 Review) Solve each equation and properly check your solution, if possible.
12. $-4(3 x+7)-6 x=-19$
13. $(3 x)^{2}-10=134$
14. $5 x-9-(x+7)=\frac{1}{2} x+19$

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Problem 3050

Enter your answers in the boxes. $m=\frac{\square-\square}{\square-\square}=\frac{\square}{\square}$

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Problem 3051

Avery and Collin were trying to challenge each other with equations for sequences. Avery was looking at an explicit equation that Collin wrote. $t(n)=4.5 n-8$ a. Write the first 4 terms for the sequence. b. What would Avery do to write the $15^{\text {th }}$ term of this sequence? c. Write a recursive equation for this sequence.

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Problem 3052

4 Bestimmen Sie jeweils zum vorgegebenen Wert von a die Integralfunktion $I_{a}$ von $f$ und zeichnen Sie die Graphen von $f$ und $I_{a}$ in zwei Koordinatensysteme untereinander. a) $f(x)=3 x+1, a=0[a=2 ; a=-1]$ c) $f(x)=\frac{1}{2} x-1, \quad a=0[a=1 ; \quad a=-4]$ b) $f(x)=2 x-6, a=0[a=3 ; a=-2]$ d) $f(x)=x^{2}+1, a=0[a=1 ; a=-1]$

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Problem 3053

47 Em relação a um referencial ortonormado Oxy considera a circunferência de centro em $A(0,3)$ e que passa em $B(3,-1)$ . 47.1. Seja $r$ a reta que é tangente à circunferência no ponto $B$ . Representa a reta $r$ por uma equação na forma reduzida. 47.2. Considera o conjunto dos pontos $P(x, y)$ que satisfazem a condição $\overrightarrow{A B} \cdot \overrightarrow{B P}=0$ . Representa essa condição por uma equação e resolve-a em ordem a $y$ . 140

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Problem 3054

Consider the line with the equation: $y=x+10$ Give the equation of the line parallel to Line 1 which passes through $(8,6)$ : $\square$ Give the equation of the line perpendicular to Line 1 which passes through $(8,6)$ : $\square$

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Problem 3055

Graph the line $y=1$ .

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Problem 3056

Represent the function $\frac{10}{(1-7 x)}$ as a power series $f(x)=\sum_{n=0}^{\infty} c_{n} x^{n}$ $\begin{array}{l} c_{0}=\square \\ c_{1}=\square \\ c_{2}=\square \\ c_{3}=\square \\ c_{4}=\square \end{array}$
Find the radius of convergence $R=$ $\square$ .

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Problem 3057

Write the function whose graph is the graph of $y=\sqrt{x}$ but is shifted down 3 units.

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Problem 3058

9. Complete the table of values for this circuit: \begin{tabular}{|c|c|c|c|c|} \hline & $R_{1}$ & $R_{2}$ & $R_{3}$ & Total \\ \hline $\mathrm{U}, \mathrm{V}$ & 1,78 & 1,78 & 10,22 & 12 \\ \hline $\mathrm{I}, \mathrm{mA}$ & 8 & 13,75 & & 21,75 \\ \hline R & $220 \Omega$ & $130 \Omega$ & $470 \Omega$ & $551,7 \Omega$ \\ \hline P mV & & & & \\ \hline \end{tabular}

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Problem 3059

Use point-slope form to write the equation of a line that passes through the point left parenthesis, 18, comma, 20, right parenthesis (with slope minus, start fraction, 3, divided by, 2, end fraction

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Problem 3060

16. From the following figures relating Apil 2021, prepare total debtors and total cre accounts. \begin{tabular}{|c|c|c|c|} \hline \multicolumn{3}{|c|}{Rs.} & Rs. \\ \hline Balance, 1st April 2021 & & Bills Payable & 5,000 \\ \hline Total Debtors of & 21,600 & Bills receivable & 4,000 \\ \hline & & Bills receivable & \\ \hline Total Creditors & 8,200 & dishonoured & 500 \\ \hline Credit Purchases & 25,300 & Bad debts written off & 600 \\ \hline Credit Sales & 39,400 & Cash sales & 6,300 \\ \hline Cash paid to customers & 19,100 & Discount received & 900 \\ \hline Cash received from & & & \\ \hline customers & 37,200 & Discount allowed & 1,100 \\ \hline \end{tabular}

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Problem 3061

HW12: Problem 5 Previous Problem Problem List Next Problem much money to lay pipe in the water as it does on land, how far down the shoreline from $P$ should the pipe from the island reach land in order to minimize the total construction costs?
Distance from $P=$ $\square$
Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Page generated at 12/03/2024 at 10:58am EST

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Problem 3062

The function $f(x)=\frac{x+24}{x-6}$ is one-to-one. For the function, a. Find an equation for $f^{-1}(x)$ , the inverse function. b. Verify that your equation is correct by showing that $f\left(f^{-1}(x)\right)=x$ and $f^{-1}(f(x))=x$ . a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) A. $f^{-1}(x)=$ $\square$ , for $\mathrm{x} \neq$ $\square$ B. $f^{-1}(x)=$ $\square$ , for $x \leq$ $\square$ C. $f^{-1}(x)=$ $\square$ , for $x \geq$ $\square$ D. $f^{-1}(x)=$ $\square$ , for all $x$

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Problem 3063

Bxencice \& \& 4 pts \begin{tabular}{|c|c|c|c|} \hline Durte & Taux & Capital (DH) & Vateur acquise (DK) \\ \hline & 703 famne & 22.500 & 50674,31 \\ \hline 20ans & 3\% le semestre & 6000 & \\ \hline & 7,5\% launéc & 17000 & 20004,05 \\ \hline 5 ansect 9 mols & 7.5........ & 20000 & 29 807,23 \\ \hline \end{tabular}
ByERCICE5: 4 pts hoplace un capital de 15000 DH pendant 4 ans au taux annuel de $9 \%$ . alouler sa valeur acquise si la période de capitalisation est : - Le semestre (en utilisant le taux proportionnel et le taux équivalent) - Le trimestre (en utilisant le taux proportionnel et le taux équivalent)
B: Pensez à soigner la présentation de votre copie

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Problem 3064

Q4) Find the differential equation whose general solution $y=A \cos (\ln x)+B \sin (\ln x), x>0$ .

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Problem 3065

Graph the function. $y=\ln x$
Use a graph icon to plot the asymptote and two points.

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Problem 3066

Question
What is an equation of the line that passes through the point $(-1,0)$ and is parallel to the line $5 x+y=6$ ?

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Problem 3067

Using a ruler and a pair of compabses, construct a right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm . You must show all of your construction lines.
Measure the angle opposite the base to the nearest degree.

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Problem 3068

For help with questions 5 to 8, refer to Investigate 2.
5. a) Copy the graph. b) $\square$ b) Write an equation for this exponential function. c) c) Graph the line $y=x$ on the same grid. d) Sketch a graph of the inverse of the function by reflecting its graph in the line $y=x$ .

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Problem 3069

Write the equation for the function $g(x)$ that has a graph with the shape of $y=\sqrt{x}$ but is shifted right 7 units. $g(x)=\sqrt{x-7}$ $g(x)=\sqrt{x}+7$ $g(x)=\sqrt{x+7}$ $g(x)=\sqrt{x}-7$

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Problem 3070

The population of a small town in Alabama has shown a linear decline in the years 2000 to 2015. The population in 2000 was 8608 , and in 2015 the population was 7798.
Write a linear equation expressing the population of this town, $P$ , as a function of $t$ , the number of years since 2000. $P(t)=$ $\square$ Be sure to use $t$ as your variable!
If the town is still experiencing the same rate of population decline, what will the population be in 2022? $\square$

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Problem 3071

(a) Graph $f(x)=x^{2}-4 ; x \leq 0$ .

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Problem 3072

Bookwork code: 2C Calculator not allowed
Write an equation to represent the function machine below.
Input Output $x \rightarrow \times 6+4 \rightarrow 7$

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Problem 3073

Alexandra thinks of a number, $t$ . She multiplies it by 4 , then she subtracts 7 and gets an answer of 18 . Write an equation to describe this.

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Problem 3074

Zain draws a circle with radius $r$ and center $(h, k)$ in the coordinate plane. He places the point $(x, y)$ on the circle. How can Zain use his drawing to derive the general equation of a circle in standard form? Use the drop-down menus to explain your answer.
Click the arrows to choose an answer from each menu. Using any center point $(h, k)$ and any point on the circle $(x, y)$ , zain can draw a right triangle that has a hypotenuse of length $r$ land legs of lengths Choose... * Then, Zain can derive the general equation of a circle in standard form by applying the Choose...

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Problem 3075

THIW - Ch 5 Linear Google Slides Equations from a Table of Value what is the slope of $y=m x+b$ - itybuilder/instance/674efbba6950e871bcac89db/student/674f475712e503d27285c524\#screenld=26479922-20fd-4c48-86a9-348b257edc3a
Iues and Graph \begin{tabular}{|l|l|l|l|} \hline & 1 & TT & $\sqrt{ \pm}$ \\ \hline \end{tabular} n
Write the equation of a line in slope intercept form GIVEN A GRAPH. Enter all three into the answer box.
Find the slope by: Change in $y$ Slope: $\qquad$ Y-intercept: $\qquad$ Change in $x$
Equation: $\qquad$ Search ENG US

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Problem 3076

Find a formula for the inverse of the function. $\begin{array}{l} f(x)=\sqrt{x^{2}+2 x}, x>0 . \\ f^{-1}(x)= \end{array}$

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Problem 3077

- Des que le revenu est d'au moins 20000 \ $, on doit payer un minimum de$ 25 \% $d'impôt. - Le taux d'imposition augmente de$ 5 \% $pour chaque tranche de$ 15000 \$$ de salaire supplémentaire. - Le taux d'imposition maximal est de $45 \%$. a) Représentez cette situation dans le plan cartésien ci-contre. b) Déterminez la règle qui permet de calculer le taux d'imposition pour un salaire variant de 20000 \$ à 80000 \$. onse:

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Problem 3078

Name: Ayda Avila 0.
Writing Systems of Equations Mixed Practice
1. Write a system of equations to represent the following graph. A. $4 x+9 y=36$ C. $4 x+9 y=36$ $y=3 x-2$ $6 x-2 y=-4$ B. $9 x+4 y=36$ D. $y=3 x-2$ $y=-3 x-2$ $y=-\frac{9}{4} x+4$

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Problem 3079

- Ch 5 Linear Google Slides Equations from a Table of Value Ider/instance/674efbba6950e871bcac89db/student/674f475712e503d27285c524\#screenld=01649728-103f-45a5-8ca4-0960cd2619db and Graph n
Write the equation of a line in slope intercept form GIVEN A GRAPH. Enter all three into the answer box. Slope: $\qquad$ Y-intercept: $\qquad$ Equation: $\qquad$ 2 5
4 13 $\square$ 4 $\square$ $\sqrt{ \pm}$ Submit 33 12 45 Search ENG US

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Problem 3080

Use the time/tip data from the table below, which includes data from New York City taxi rides. (The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars.) Find the regression equation, letting time be the predictor ( x ) variable. Find the best predicted tip for a ride that takes 22 minutes. How does the result compare to the actual tip amount of $\$ 5.05$ ? Use a significance level of 0.05 . \begin{tabular}{l|cccccccc} Distance & 1.02 & 0.68 & 1.32 & 2.47 & 1.40 & 1.80 & 8.51 & 1.65 \\ \hline Time & 8.00 & 6.00 & 8.00 & 18.00 & 18.00 & 25.00 & 31.00 & 11.00 \\ \hline Fare & 7.80 & 6.30 & 7.80 & 14.30 & 12.30 & 16.30 & 31.75 & 9.80 \\ \hline Tip & 2.34 & 1.89 & 0.00 & 4.29 & 2.46 & 1.50 & 2.98 & 1.96 \end{tabular}
The regression equation is $\hat{y}=$ $\square$ $+$ $\square$ $x$ . (Round the $y$ -intercept to two decimal places as needed. Round the slope to four decimal places as needed.)

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Problem 3081

/activitybuilder/instance/674efbba6950e871bcac89db/student/674f475712e503d27285c524\#screenld=b41ae290-cc56-429e-810e-07bd955554a2 f Values and Graph ${ }^{\pi}$ n
Write the equation of a line in slope intercept form GIVEN A GRAPH. Enter all three into the answer box.
Slope: $\qquad$ Y-intercept: $\qquad$ Equation: $\qquad$ $\square$ Submit

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Problem 3082

Find the regression equation, letting the first variable be the predictor ( x ) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 44 years. Is the result within 5 years of the actual Best Actor winner, whose age was 45 years? Use a significance level of 0.05 . \begin{tabular}{cllllllllllll} \hline Best Actress & 27 & 32 & 28 & 58 & 30 & 34 & 47 & 30 & 62 & 22 & 44 & 56 \\ Best Actor & 44 & 37 & 37 & 47 & 48 & 46 & 62 & 49 & 37 & 55 & 45 & 33 \\ \hline \end{tabular}
Find the equation of the regression line. $\hat{\mathrm{y}}=\square+(\square) \mathrm{x}$ (Round the $y$ -intercept to one decimal place as needed. Round the slope to three decimal places as needed.)

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Problem 3083

Minimize: $\quad z=700 x+600 y$

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Problem 3084

Consider the following EQUATIONS, make a table, plot the points, and
1. $f(x)=\sqrt{x}$
2. $f(x)=2 \sqrt{x}$ \begin{tabular}{c|c} $x$ & $y$ \\ \hline-4 & \\ -1 & \\ 0 & \\ 1 & \\ 2 & \\ 3 & \\ 4 & \\ \hline \end{tabular} \begin{tabular}{c|c} $x$ & $y$ \\ \hline-4 & \\ -1 & \\ 0 & \\ 1 & \\ 2 & \\ 3 & \\ 4 & \end{tabular} 3.

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Problem 3085

The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a variance of 0.0025 . The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0025 . Suppose that we want to carry out a hypothesis.test to see if there is support for the actuaries' claim. State the null hypothesis $H_{0}$ and the alternative hypothesis $H_{1}$ that we would use for this test. $\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$

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Problem 3086

(a) The graph of $y=f(x)$ is shown. Draw the graph of $y=f(-x)$ . (b) The graph of $y=g(x)$ is shown. Draw the graph of $y=-g(x)$ .

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Problem 3087

MATH 1314 - College Algebra Lab 10
3. On a cold December day in Dallas, Detective Daniels went to an apartment complex to investigate a murder. When he arrived at noon, the sergeant informed the detective that they were having trouble determining the time of death. Detective Daniels measured the temperature of the body, finding it to be $77.9^{\circ} \mathrm{F}$ . He also noted that the thermostat in the room was set at $72^{\circ} \mathrm{F}$ . He then left for lunch, announcing that when he returned, he would tell them when the murder was committed. Upon his return at 1:00PM, he found the body temperature to be $75.6^{\circ} \mathrm{F}$ . At first it looks like Detective Daniels does not have enough information to find the time of death. However, Detective Daniels knows Newton's Law of Cooling, which can be used to predict the time for an object to cool to a given temperature. $T(t)=T_{s}+\left(T_{0}-T_{s}\right) e^{-k t}$ $T(t)$ is the temperature of the object at time $t$ in hours, $T_{s}$ is the temperature of the surrounding environment (room temperature), $T_{0}$ is the initial temperature of the object, and $k$ is the cooling rate. a. Using the temperatures of the body observed over one hour, along with the temperature of the room, find the cooling rate, $k$ . Round to five decimal places. b. Write the cooling function, $T(t)$ , using the fact that $T_{0}$ was $98.6^{\circ} \mathrm{F}$ when the person was murdered. c. Let $T(t)=77.9^{\circ} \mathrm{F}$ . Use the cooling function from part $b, T(t)$ , to solve for $t$ , the number of hours since the body was murdered. Around what time was the murder committed? The $t$ value will be negative so count back the $t$ value in hours from noon to find the time. When answering the number of hours since the body was murdered, give the answer as a positive number.

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Problem 3088

3. The population of the People's Republic of China has been doubling approximately every sixty years. The population in 1975 was about 824000000 . If the current growth rate continues, what will the population be in $2215 ?$

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Problem 3089

Quadratic and Exponential Functions Graphing a parabola of the form $y=\mathrm{ax}^{2}+\mathrm{bx}+\mathrm{c}$ : Integer coefficier aph the parabola. $y=3 x^{2}-30 x+69$
Plot five points on the parabola: the vertex, two points to the le button.

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Problem 3090

Find an equation of the form $y=a x^{2}+b$ for a parabola that passes through the points $(-1,1)$ and $(-2,7)$ . $y=$

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Problem 3091

Equations Points: 0 of 1
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1 , and roots of $2-\sqrt{6}, 2+\sqrt{6}$ , and $7-i$ .
The polynomial function is $\mathrm{P}(\mathrm{x})=$ $\square$ (Simplify your answer.) View an example Get more help

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Problem 3092

6. Form a polynomial $f(x)$ with real coefficients having the given degree and zeros.
Degree 4 ; zeros: 4 , multiplicity $2 ; 6 i$ Enter the polynomial. Let a represent the leading coefficient. $f(x)=a($ ]) $\square$ (Type an expression using $x$ as the variable. Use integers or fractions for any numbers in the

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Problem 3093

Your teacher hangs 49 of the stars fiom the coling with 7 equal rows.

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Problem 3094

You and your pen pal record the weather in your respective countries on weekend days over the summer. Complete parts a through $b$ .
Click the icon to view the weather tables. Weather Tables a. Construct a single, two-way frequency table to show the results. \begin{tabular}{|c|c|c|c|} \cline { 2 - 4 } \multicolumn{1}{c|}{} & \multicolumn{3}{c|}{ Weather } \\ \hline Day & Rain & No Rain & Total \\ \hline Friday & 7 & 7 & 14 \\ \hline Saturday & 23 & 17 & 40 \\ \hline Sunday & 22 & 19 & 41 \\ \hline Total & 52 & 43 & 95 \\ \hline \end{tabular} (Type whole numbers.) \begin{tabular}{|c|c|c|c|c|} \hline \multirow[t]{2}{*}{Weather} & \multicolumn{4}{|c|}{Day} \\ \hline & Fridays & \multicolumn{2}{|l|}{saturdays} & Sundays \\ \hline Rain & & \multicolumn{2}{|l|}{7\%.1iII} & TM \\ \hline No Rain & TM & \multicolumn{2}{|l|}{TM1} & TM20 \\ \hline & & Wea & ther & \\ \hline & & Rain & No $R$ & Rain \\ \hline & ays & TM & & (7) \\ \hline Satu & days & & MX & \\ \hline & days & TH2 IIII & TM & 11 \\ \hline \end{tabular} Print Done
Enter your answer in the edit fields and then click Check Answer. Final che Clear All

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Problem 3095

Find a possible formula for the function graphed below. The $x$ -intercepts are marked with points located at $(5,0)$ and $(-4,0)$ , while the $y$ -intercept is marked with a point located at $\left(0,-\frac{5}{3}\right)$ . The asymptotes are $y=-1, x=-3$ , and $x=4$ . Give your formula as a reduced rational function. $f(x)=$ $\square$ help (formulas) (Click on graph to enlarge)

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Problem 3096

Use the Venn diagram to represent set A in roster form. $A=\{$ $\square$ (Use a comma to separate answers as needed.)

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Problem 3097

A small bicycle manufacturer has daily fixed costs of $\$ 1992$ and each bicycle costs $\$ 76$ to manufacture. Let $x$ represent the number of bicycles manufactured and $\mathrm{C}(\mathrm{x})$ represents the cost of manufacturing. Complete parts (a) through (c). (a) Write a linear function that models this situation. $C(x)=$ $\square$

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Problem 3098

A package of silicone straws costs $\$ 6$ . This is $\$ 7$ less than the cost of a package of metal straws. Select the equations that could be used to find the cost c of th package of metal straws. A) $7=c \div 6$ B) $c-7=6$ C) $c \times 7=6$ D) $6+7=c$ E) $-6+7=c$

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Problem 3099

An open-top box is to be constructed from a 4 in by 10 in rectangular sheet of tin by cutting out squares of equal size at each corner, then folding up the resulting flaps. Let $x$ denote the length of the side of each cut-out square. Assume negligible thickness. (a) Find a formula for the volume, $V$ , of the box as a function of $x . \quad V(x)=$ $\square$ (b) For what values of $x$ does the formula from part (a) make sense in the context of the problem? help (inequalities) (c) On a separate piece of paper, sketch a graph of the volume function. (d) What, approximately, is the maximum volume of the box? (include units: help (units) $\square$

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Problem 3100

In 2010, a laptop computer was purchased for $\$ 2050$ . Each year since, the resale value has decreased by $24 \%$ . Let $t$ be the number of years since 2010. Let $y$ be the value of the laptop computer, in dollars. Write an exponential function showing the relationship between $y$ and $t$ . $\square$ O 2024 McGraw Hill LLC. All Rights Rese (1) 397 Sunny Search

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1 ...28 29 30 31 32 33 34 ...42

Model

Problem 3001

Write the expanded notation for 412.638 using fractions and decimals. What did Nancy and Charles write?

Problem 3002

a. Find the power for the surface area of a cube. b. Find the power for the volume of a cube. Surface area: 6s26s^26s2, Volume: s3s^3s3.

Problem 3003

Model the city's population growth from 2020 (1,596,0001,596,0001,596,000 with a 3.5%3.5\%3.5% annual increase) using the function f(x)f(x)f(x).

Problem 3004

Find the slope-intercept form of the line through (1,3) and (0,-3).

Problem 3005

The equation for "3 less than the product of 4 and 5" is: 4×5−34 \times 5 - 34×5−3.

Problem 3006

A pool has 15,600 gallons and loses 5%5\%5% of water daily. How much will remain in 11 days? Round to the nearest whole number.

Problem 3007

Luis cooks for 20+ people, with vegetarian meals at \$3 and meat meals at \$4.50. Budget is \$100, with at least 6 of each. Write the inequalities.

Problem 3008

Let xxx be hours worked in housecleaning and yyy in sales. Write the inequalities: x+y≤41x + y \leq 41x+y≤41 and 5x+8y≥2545x + 8y \geq 2545x+8y≥254.

Problem 3009

At 10:00 a.m. (t=0), bacteria grow as follows: 30, 90, 270, 810. Find a function f(t)f(t)f(t) to model this growth.

Problem 3010

Pilar buys pizzas at \$9 each and cookies at \$5 per pound, with a max budget of \$50. She needs at least 3 pizzas and 2 pounds of cookies. Find the inequalities and graph them.

Problem 3011

Express "One does not think hard" symbolically, given sss: "One thinks hard".

Problem 3012

Problem 3013

8. Describe a real-world situation that the number -20 represents. Explain what 0 represents in your situation.

Problem 3014

Problem 3015

Translate the sentence into an inequality. Four subtracted from yyy is less than -15 . □\square□

Problem 3016

Graph the line whose xxx-intercept is -1 and whose yyy-intercept is 3 .

Problem 3017

Graph the solution to the following system of inequalities. y>5x+4y≥−2x−7\begin{array}{l} y>5 x+4 \\ y \geq-2 x-7 \end{array}y>5x+4y≥−2x−7​

Problem 3018

En la siguiente figura, m∠MKJ=137∘m \angle M K J=137^{\circ}m∠MKJ=137∘. (a) Escribir una ecuación para hallar x. Asegurarse de utilizar un signo de "=" en su respuesta.Ecuación: □\square□ (b) Resolver para xxx. □\square□ x=x=x=

Problem 3019

Problem 3020

Problem 3021

Utilizar la figura para hallar el valor de xxx. (a) Escribir una ecuación para hallar xxx. Asegúrese de utilizar un signo de " === " en la respuesta.Ecuación: □\square□ □\square□ (b) Resolver para xxx. x=1x=1x=1 □\square□

Problem 3022

Problem 3023

Problem 3024

Problem 3025

Problem 3026

Problem 3027

The point (558,214)\left(5 \frac{5}{8}, 2 \frac{1}{4}\right)(585​,241​) lies on the graph of a linear function that represents a proportional relationship. Part A Write an equation for this function. What is the slope?

Problem 3028

Problem 3029

Problem 3030

Problem 3031

Find the equation of the exponential function represented by the table below \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline 0 & 5 \\ \hline 1 & 2.5 \\ \hline 2 & 1.25 \\ \hline 3 & 0.625 \\ \hline \end{tabular}Answer Attempt 1 out of 2

Problem 3032

Problem 3033

1. Use a tape diagram to represent the following calculations. Give the final result. (a) 35\frac{3}{5}53​ of 30=30=30= (b) 79\frac{7}{9}97​ of 72=72=72=

Problem 3034

an wof find What is the ?16. Stancha diganith Ste has 28 magness Sne amanges the magness impo 4 equal couss wite an equarion using a lener to === equesent the urkioum value to find how thand magness are in each rour.

Problem 3035

Consider the system of linear equations shown below: 2x+9=−4y−x−y=2\begin{array}{c} 2 x+9=-4 y \\ -x-y=2 \end{array}2x+9=−4y−x−y=2​Create the coefficient matrix, DDD

Problem 3036

1. Détermine l'équation du lieu du point PPP dont la somme des distances aux points K(−11,4)K(-11,4)K(−11,4) et L(7,4)L(7,4)L(7,4) est égale à 30 unités. \qquad

Problem 3037

Consider the system of linear equations shown below: 2x+9=−4y−x−y=2\begin{array}{l} 2 x+9=-4 y \\ -x-y=2 \end{array}2x+9=−4y−x−y=2​ create the matrix, DxD_{x}Dx​

Problem 3038

Problem 3039

14. Through (5,7)(5,7)(5,7) and (−1,3)(-1,3)(−1,3)

Problem 3040

Find the equation for the parabola that has its focus at the (54,−3)\left(\frac{5}{4},-3\right)(45​,−3) and hhh directrix at x=354x=\frac{35}{4}x=435​. equation is (y+3)2=30(x−9.375)(y+3)^{2}=30(x-9.375)(y+3)2=30(x−9.375) Video 1 Video 2 Post to forum

Problem 3041

Write the standard form of the equation of the circle with the given center and radius. Center (−7,2),r=5(-7,2), r=5(−7,2),r=5

Problem 3042

Problem 3043

Problem 3044

Problem 3045

Problem 3046

Problem 3047

Graph the solution of the system of inequalities. 2x+4y<8x−y<5\begin{array}{r} 2 x+4 y<8 \\ x-y<5 \end{array}2x+4y<8x−y<5​Use the graphing tool on the right to graph the system of inequalities.

Problem 3048

Problem 3049

Problem 3050

Enter your answers in the boxes. m=□−□□−□=□□m=\frac{\square-\square}{\square-\square}=\frac{\square}{\square}m=□−□□−□​=□□​

a. Find the power for the surface area of a cube. b. Find the power for the volume of a cube. Surface area: $6s^2$ , Volume: $s^3$ .

Model the city's population growth from 2020 ( $1,596,000$ with a $3.5\%$ annual increase) using the function $f(x)$ .

The equation for "3 less than the product of 4 and 5" is: $4 \times 5 - 3$ .

A pool has 15,600 gallons and loses $5\%$ of water daily. How much will remain in 11 days? Round to the nearest whole number.

Let $x$ be hours worked in housecleaning and $y$ in sales. Write the inequalities: $x + y \leq 41$ and $5x + 8y \geq 254$ .

At 10:00 a.m. (t=0), bacteria grow as follows: 30, 90, 270, 810. Find a function $f(t)$ to model this growth.

Express "One does not think hard" symbolically, given $s$ : "One thinks hard".

Translate the sentence into an inequality. Four subtracted from $y$ is less than -15 . $\square$

Graph the line whose $x$ -intercept is -1 and whose $y$ -intercept is 3 .

Graph the solution to the following system of inequalities. $\begin{array}{l} y>5 x+4 \\ y \geq-2 x-7 \end{array}$

En la siguiente figura, $m \angle M K J=137^{\circ}$ . (a) Escribir una ecuación para hallar x. Asegurarse de utilizar un signo de "=" en su respuesta.
Ecuación: $\square$ (b) Resolver para $x$ . $\square$ $x=$

Utilizar la figura para hallar el valor de $x$ . (a) Escribir una ecuación para hallar $x$ . Asegúrese de utilizar un signo de " $=$ " en la respuesta.
Ecuación: $\square$ $\square$ (b) Resolver para $x$ . $x=1$ $\square$

The point $\left(5 \frac{5}{8}, 2 \frac{1}{4}\right)$ lies on the graph of a linear function that represents a proportional relationship. Part A Write an equation for this function. What is the slope?

Find the equation of the exponential function represented by the table below \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 5 \\ \hline 1 & 2.5 \\ \hline 2 & 1.25 \\ \hline 3 & 0.625 \\ \hline \end{tabular}
Answer Attempt 1 out of 2

1. Use a tape diagram to represent the following calculations. Give the final result. (a) $\frac{3}{5}$ of $30=$ (b) $\frac{7}{9}$ of $72=$

an wof find What is the ?
16. Stancha diganith Ste has 28 magness Sne amanges the magness impo 4 equal couss wite an equarion using a lener to $=$ equesent the urkioum value to find how thand magness are in each rour.

Consider the system of linear equations shown below: $\begin{array}{c} 2 x+9=-4 y \\ -x-y=2 \end{array}$
Create the coefficient matrix, $D$

1. Détermine l'équation du lieu du point $P$ dont la somme des distances aux points $K(-11,4)$ et $L(7,4)$ est égale à 30 unités. $\qquad$

Consider the system of linear equations shown below: $\begin{array}{l} 2 x+9=-4 y \\ -x-y=2 \end{array}$ create the matrix, $D_{x}$

14. Through $(5,7)$ and $(-1,3)$

Find the equation for the parabola that has its focus at the $\left(\frac{5}{4},-3\right)$ and $h$ directrix at $x=\frac{35}{4}$ . equation is $(y+3)^{2}=30(x-9.375)$ Video 1 Video 2 Post to forum

Write the standard form of the equation of the circle with the given center and radius. Center $(-7,2), r=5$

Graph the solution of the system of inequalities. $\begin{array}{r} 2 x+4 y<8 \\ x-y<5 \end{array}$
Use the graphing tool on the right to graph the system of inequalities.

Enter your answers in the boxes. $m=\frac{\square-\square}{\square-\square}=\frac{\square}{\square}$

Consider the line with the equation: $y=x+10$ Give the equation of the line parallel to Line 1 which passes through $(8,6)$ : $\square$ Give the equation of the line perpendicular to Line 1 which passes through $(8,6)$ : $\square$

Graph the line $y=1$ .

Write the function whose graph is the graph of $y=\sqrt{x}$ but is shifted down 3 units.

Q4) Find the differential equation whose general solution $y=A \cos (\ln x)+B \sin (\ln x), x>0$ .

Graph the function. $y=\ln x$
Use a graph icon to plot the asymptote and two points.

Question
What is an equation of the line that passes through the point $(-1,0)$ and is parallel to the line $5 x+y=6$ ?

Using a ruler and a pair of compabses, construct a right-angled triangle with a base of 6 cm and a hypotenuse of 11 cm . You must show all of your construction lines.
Measure the angle opposite the base to the nearest degree.

For help with questions 5 to 8, refer to Investigate 2.
5. a) Copy the graph. b) $\square$ b) Write an equation for this exponential function. c) c) Graph the line $y=x$ on the same grid. d) Sketch a graph of the inverse of the function by reflecting its graph in the line $y=x$ .

Write the equation for the function $g(x)$ that has a graph with the shape of $y=\sqrt{x}$ but is shifted right 7 units. $g(x)=\sqrt{x-7}$ $g(x)=\sqrt{x}+7$ $g(x)=\sqrt{x+7}$ $g(x)=\sqrt{x}-7$

(a) Graph $f(x)=x^{2}-4 ; x \leq 0$ .

Bookwork code: 2C Calculator not allowed
Write an equation to represent the function machine below.
Input Output $x \rightarrow \times 6+4 \rightarrow 7$

Alexandra thinks of a number, $t$ . She multiplies it by 4 , then she subtracts 7 and gets an answer of 18 . Write an equation to describe this.