Algebra

Problem 30001

Solve $u^{2}=16$ , where $u$ is a real numbe Simplify your answer as much as pc
If there is more than one solution, If there is no solution, click on "No $u=$ $\square$

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Problem 30002

1 A company purchased factory equipment on April 1, 2022 for $\$ 160,000$ . It is estimated that the equipment will have a $\$ 20,000$ salvage value at the end of its 10 -year useful life, Using the straight-line method of depreciation, the amount to be recorded as depreciation expense at December 31, 2022 is A) $\$ 16,000$ B) $\$ 14,000$ C) $\$ 10,500$ D) $\$ 12,000$ E) None of the above
2 If an asset costs $\$ 41,000$ , has a residual value of $\$ 3,000$ , and has a useful life of five years, the entry to record depreciation in the second year, using the double-declining-balance method, is A) Depreciation Expense Cash \$ 9,430 B) Depreciation Expense Accumulated Depreciation - Asset C) Depreciation Expense Accumulated Depreciation - Asset D) Accumulated Depreciation - Asset \$ 10,660 Depreciation Expense E) None of the above
3 Equipment is purchased for $\$ 120,000$ . It has a five-year useful life and a $\$ 20,000$ residual value. Under the double declining balance method, what is the depreciation expense for year 3 ? A) $\$ 17,280$ B) $\$ 15,360$ C) $\$ 14,400$ D) $\$ 12,800$ E) None of the above

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Problem 30003

34) Henry throws a tennis ball over his house. The ball is 6 feet above the ground when he lets it go. The quadratic function that models the height, in feet, of the ball after $t$ seconds is $y=-16 t^{2}+46 t+6$ . a. How long does it take for the ball to hit the ground? Roughly sketch the graph. b. There is a trampoline on the other side that is 5 feet off the ground. The ball happens to land on it instead of the ground. How long would this take? Create a new equation and solve.

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Problem 30004

Algebra 1 Y. 4 Transformations of quadratic functions 6 YS
Find $g(x)$ , where $g(x)$ is the translation 1 unit left of $f(x)=x^{2}$ . Video Questions answered
Write your answer in the form $a(x-h)^{2}+k$ , where $a$ , $h$ , and $k$ are integers. $g(x)=$ $\square$ ( $\square$ ) 2 Time elapsed 00 01 07 1 HR MIN sec SmartScore Submit out of 100 15

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Problem 30005

At $20^{\circ} \mathrm{C}$ , a saturated solution of calcium sulfate, $\mathrm{CaSO}_{4}(\mathrm{aq})$ , has a concentration of $0.0153 \mathrm{~mol} / \mathrm{L}$ . A student takes 65 mL of this solution and evaporates it. What mass of solute should be left in the evaporating dish?

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Problem 30006

35.
The population $P$ of a certain city $y$ years after the last census is modeled by the equation below, where $r$ is a constant and $\mathbb{P}_{0}$ is the population when $\begin{array}{l} y=0 \\ P=P_{0}(1+r)^{y} \end{array}$
If during this time the population of the city decreases by a fixed percent each year, which of the following must be true? A. $\gamma<-1$ B. $-1<r<0$ C. $0<r<1$ D. $p>1$

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Problem 30007

At $20^{\circ} \mathrm{C}$ , a saturated solution of calcium sulfate, $\mathrm{CaSO}_{4}(\mathrm{aq})$ , has a concentration of $0.0153 \mathrm{~mol} / \mathrm{L}$ . A student takes 65 mL of this solution and evaporates it. What mass of solute should be left in the evaporating dish?

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Problem 30008

For the compound inequality $5-2 x<7$ and $2(3 x-1) \leq 4 x+4$ , Find the solution set algebraically. $-2 \times 27^{\text {" }} x^{\prime \prime}$ is greater $\begin{array}{l} \frac{-2 x}{-2}<\frac{2}{-2} \quad x>-1 \quad 2(3 x-1) \leqslant 4 x+4 \\ \begin{array}{l} 6 x-2 \leqslant 4 x+4 \\ -4 x \end{array} \\ -4 x \\ \text { intersection: } \\ -12 x \leqslant 3 \\ x \leq 3 \quad x \text { is less than or } \\ \text { or }(-1,3) \end{array}$ b.) Graph the solution set.

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Problem 30009

(3) Which value of $x$ makes the following statement true? $-0.5-x=$ a positive number A $x=1.5$ B $\quad x=0.5$ c $x=-0.5$ D $x=-1.5$

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Problem 30010

$y=x$

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Problem 30011

18. $m \div 3.54=1.5$ $m \div 3.54 \times$ $\square$ $=1.5 \times$ $\square$ $m=$ $\square$

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Problem 30012

$7(-6 f+1)-2(3 f-8)$

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Problem 30013

Select the correct answer from each drop-down menu.
When she was 20, Liz started saving $\$ 6,000$ a year for retirement. Her goal is to reach $\$ 100,000$ in savings by the time she's 30 . Her account earns $8 \%$ interest per year, compounded annually. Liz $\square$ have saved $\$ 100,000$ by age 30 . She'll $\square$ her goal by about $\square$ Reset Next

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Problem 30014

rms: $10(0.3 s+0.2)-9 s$

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Problem 30015

t terms: $9(0.7 a+0.3)+8 a$

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Problem 30016

a. Use the points $(2,2485.6)$ and $(6,1172.5)$ to write an equation of the line of fit in slope-intercept form. Let $x$ be the years since 2010 and let $y$ be the number of CDs in millions sold. $+-x \div$ $\square$ $\square$ $\sqrt{\square}$ $\sqrt{6}$ $\square$ $=\ldots$ $\square$ $\leq 2$ (c) $\pi$ $\square$ $\qquad$ $\square$ I

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Problem 30017

A table of values of a linear function is shown below. \begin{tabular}{|l|l|l|l|l|} \hline $x$ & 0 & 1 & 2 & 3 \\ \hline $y$ & 3 & 5 & 7 & 9 \\ \hline \end{tabular}
Find the slope and $y$ -intercept of the function's graph. slope: $\square$ $y$ -intercept: $\square$

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Problem 30018

Exercice 2 Soit $X_{1}, X_{2}$ et $X_{3}$ , trois vecteurs de $I^{3}$ tels que : $X_{1}=(-1,5,2), X_{2}=(2,-1,2)$ et $X_{3}=(1,1,3)$ a. Calculer les combinaisons linéaires suivantes: $3 \mathrm{X}_{1}-2 \mathrm{X}_{2}+\mathrm{X}_{3} ; 3\left(\mathrm{X}_{1}-\mathrm{X}_{3}\right)+\mathrm{X}_{2}$ b. Trouver trois réels $\alpha, \beta$ et $\gamma$ non nuls, tels que $\alpha \mathrm{X}_{1}+\beta \mathrm{X}_{2}+\gamma \mathrm{X}_{3}$ ait ses deux premières composantes nulles .
Exercice 3
1. Soient $u_{1}=(1,1,1,1), u_{2}=(2,-1,2,-1), u_{3}=(4,1,4,1)$ trois vecteurs de $R^{4}$ La famille $\{\mathrm{u} 1, \mathrm{u} 2, \mathrm{u} 3\}$ est-elle libre?
2. Soient dans $\mathbb{R}^{3}$ les vecteurs $v 1=(1,1,0), v 2=(4,1,4)$ et $v 3=(2,-1,4)$ .
La famille $(v 1, v 2, v 3)$ est-elle libre ?

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Problem 30019

6. $-\frac{4}{22} t-\frac{5}{22} t+15+(-5)$

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Problem 30020

9) *(I know this is linear - it's assessing transformations)
Part A The linear function $f(x)$ is graphed on the coordinate grid. Graph the linear function $g(x)=f(x)+3$ .

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Problem 30021

A population of rabbits oscillates 33 above and below average during the year, hitting the lowest value in January $(t=0)$ . The average population starts at 900 rabbits and increases by 130 each year. Find an equation for the population, $P$ , in terms of the months since January, $t$ .

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Problem 30022

(2 points) Find all solutions to the system of nonlinear equations. $\begin{array}{c} y=x-7 \\ x^{2}+y^{2}=37 \end{array}$
Solution(s): $\square$ help (points)
Enter the solution as an ordered pair, $(a, b)$ or a list of ordered pairs, $(a, b),(c, d)$ .

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Problem 30023

Assignment Actlve
Using a Table to Solve a Proportion
Extend the rate table to the next row by determining how many quarts of water are necessary for '81/2' tablespoons of salt. $\frac{3 / 2}{12}=\frac{81 / 2}{a}$ \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Tablespoons of \\ Salt \end{tabular} & Quarts of Water \\ \hline $3 / 2$ & 12 \\ \hline $9 / 2$ & 36 \\ \hline $27 / 2$ & 108 \\ \hline \end{tabular} DNㄴ․․

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Problem 30024

(1 point) Find the augmented matrix for this system. $\begin{array}{r} -x+2 y=5 \\ 2 x+3 y=-9 \end{array}$
Augmented matrix: $\square$ $\square$ $\square$ $\square$ help (

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Problem 30025

$\begin{array}{l} \text { (1 point) } \\ x+4 y+7 z=9 \\ 9 x-5 y=4 \\ x-5 y+z=1 \end{array}$
Find the augmented matrix for this system.
Augmented matrix: $\square$ $\square$ $\square$ $\square$ 1 $\square$ $\square$ $\square$ $\square$

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Problem 30026

Solve for $X$ . $72=3 x$
Simplify your answer as much as possible. $x=$ $\square$

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Problem 30027

Solve the equation $(x-1)(x-3)=0$ for the values of $x$ .

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Problem 30028

Mindy and Troy ate 9 pieces of cake. Mindy had 3 pieces, Troy had $\frac{1}{4}$ of the total. How much is the total?

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Problem 30029

Solve the equation: $(x-1)(x-3)=0$

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Problem 30030

Mindy ate 3 pieces and Troy had $\frac{1}{4}$ of the total. They ate 9 pieces. Find total pieces of cake $c$ .

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Problem 30031

Kala, Scott, and Rafael sent 80 messages total. If Kala sent $x$ , Rafael sent $x + 5$ , and Scott sent $3(x + 5)$ , find $x$ .

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Problem 30032

Which graph shows the function $g(x)=-\sqrt{x+3}$ ? Explain the effects of the negative sign and the square root.

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Problem 30033

Solve the compound inequality: $2x \geq 7$ or $-\frac{4}{7}x - 1 > 6$ . What are the solution ranges for $x$ ?

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Problem 30034

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Problem 30035

Determine if the sequence $200, 40, 8, \ldots$ is arithmetic, geometric, or neither.

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Problem 30036

Solve the equation $\frac{7}{x+2}-\frac{9}{2 x}=\frac{8}{2 x+4}$ for $x$ algebraically and graphically.

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Problem 30037

Determine if the sequence defined by $f(1)=10, f(n)=f(n-1)-1.5$ for $n \geq 2$ is arithmetic, geometric, or neither.

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Problem 30038

What number can you multiply each term by to remove the fractions in the equation? $\frac{1}{2} x - \frac{5}{4} + 2x = \frac{5}{6} + x$ Options: 2, 6, 10, 12.

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Problem 30039

Solve the equation: $\frac{3}{4} x + 3 - 2 x = -\frac{1}{4} + \frac{1}{2} x + 5$

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Problem 30040

Ann's taxi fare was \ $2.10 per mile plus a \$5 tip, totaling \$49.10. Find the distance$ (x) $in miles:$ 2.10x + 5 = 49.10$.

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Problem 30041

Solve for $c$ in the equation $A = B + B c d$ .

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Problem 30042

Solve the equation $x^{2}-32=0$ to find $x$ algebraically and graphically.

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Problem 30043

David's total pay is given by $P = 1800 + 80N$ . What is his pay if he sells 27 copies?

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Problem 30044

Simplify 20 - 6 + 8 ÷ 2^{3}. What is the result?

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Problem 30045

Calculate $n$ using the formula $n = A \cdot B \times A C$ and the determinant $\left| \begin{array}{ccc} 3 & 1 & 1 \\ 2 & -1 & -3 \end{array} \right|$ .

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Problem 30046

Write an equation for water in a pond: $W = 300 + 28T$ . Find $W$ after 17 minutes.

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Problem 30047

Write an equation for Susan's savings: starts with \$550, adds \$60 each week. Find total after 13 weeks.

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Problem 30048

Solve $2.25 - 11j - 7.75 + 1.5j = 0.5j - 1$ . Find the value of $j$ . Options: $-0.45$ , $-0.25$ , $0.25$ , $0.45$ .

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Problem 30049

The Sugar Sweet Company has a total cost equation $C = 4500 + 150S$ . Find the cost to transport 14 tons of sugar. Total cost: \$.

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Problem 30050

Let $y$ be the total cost of publishing a book and $x$ the number of copies printed, related by $1250 + 25x = y$ .
1. What is the change in cost per book printed?
2. What is the initial cost before printing?

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Problem 30051

Solve the equation $2.25 - 11j - 7.75 + 1.5j = 0.5j - 1$ . Find the value of $j$ .

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Problem 30052

A pond's water amount $y$ in liters after $x$ minutes is given by $y=500+32x$ . Find the starting amount and change per minute.

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Problem 30053

Calculate Michael Phelps' resultant velocity swimming North at $14 \mathrm{~m/s}$ against a $5 \mathrm{~m/s}$ South current.

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Problem 30054

Chang drives to Miami. Let $y$ be his distance from Miami (miles) and $x$ be driving time (hours). The equation is $-60x + 375 = y$ .
1. What was Chang's initial distance from Miami?
2. What is the distance change per hour he drives?

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Problem 30055

Find the value of $\frac{4 x-y}{2 y+x}$ for $x=3$ and $y=3$ .

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Problem 30056

Find the value of $2x + 11y$ for $x = 4$ and $y = 2$ . Choices: 30, 38, 48, 136.

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Problem 30057

Prepare a 100 ppm NaCl solution from a 1000 ppm stock using $M1V1 = M2V2$ . Find the volume of stock needed.

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Problem 30058

Chau has 18 shirts. Let $N$ be shirts left after folding $F$ . Find $N$ after folding 13 shirts.

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Problem 30059

Solve for $b$ in the equation $(2b + 88) + (-6b + 74) = 170$ .

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Problem 30060

The admission fee is \ $20 per person. Let$ C $be the cost for$ P $people. Find the equation and calculate$ C$ for 13 people.

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Problem 30061

Find the value of $x$ in the equation $x - 3x = 2(4 + x)$ .

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Problem 30062

Solve for $x$ : $x^{\frac{1}{3}}=2$ .

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Problem 30063

In a race, a turtle has a 7 km head start and runs at 2 km/hr. A rabbit runs at 7 km/hr. How long until the rabbit catches the turtle?
1. The distance that the rabbit travels is $d_r = 7 + 7t$ .
2. The distance that the turtle travels is $d_t = 2t$ .
The rabbit races a distance of $d_r$ at 7 km/hr for time $t$ .

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Problem 30064

A plant is 43 cm tall and grows 1 cm/month. Find the equation for height $H$ after $M$ months and $H$ after 34 months.

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Problem 30065

Martina has 21 cars. If she rents $R$ cars, how many cars $C$ does she have left? Find $C$ after renting 14 cars.

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Problem 30066

Find the constant of proportionality in minutes per cupcake for 40 cupcakes in 70 minutes and 28 cupcakes in 49 minutes.

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Problem 30067

Given the demand $p=900-10q$ and supply $p=20q$ , find: a. Price when demand is 0. b. Price when demand is 40 units. c. Supply at \$400. d. Demand at \$400. e. Surplus or shortage at \$400? f. Graph the curves. g. Equilibrium price and quantity.

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Problem 30068

Find the secant line equation for $y=f(x)=x^{2}+x$ at $x=-3$ and $x=-1$ , and the tangent line at $x=-3$ . Which slope formula is correct?

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Problem 30069

Find the equation for the number of vans (4 wheels) and trucks (6 wheels) given 25 vehicles and 120 wheels.

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Problem 30070

Rewrite $x^{-3}$ as a fraction.

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Problem 30071

What is the value of $(\sqrt[3]{x})^{0}$ ?

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Problem 30072

Simplify $(\sqrt[3]{x})^{6}$ .

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Problem 30073

A plant is 11 cm tall and grows 1 cm/month. Find the equation for height $H$ after $M$ months and graph it.

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Problem 30074

Amanda has 14 cars for rent. Write the equation $C = 14 - R$ for cars left after renting $R$ . Graph it.

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Problem 30075

Analyze the function $R(x)=\frac{8x+8}{7x+21}$ for domain, vertical asymptote, and horizontal asymptote.

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Problem 30076

Simplify the expression $\left(\frac{y^{5}}{8 x^{6} y^{8}}\right)^{-\frac{1}{3}}$ .

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Problem 30077

1. $5x + 8y \geq 100$
2. $x + y \leq 15$ Where $x$ is hours as a cashier and $y$ is hours as a lifeguard.

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Problem 30078

Simplify $(\sqrt[3]{x})^{6}$ .

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Problem 30079

Two cell phone companies have different pricing.
a. Write equations for Company A: $A(x) = 34 + 0.05x$ and Company B: $B(x) = 40 + 0.04x$ .
b. Compare costs for 1,160 minutes.
c. Compare costs for 420 minutes.
d. Find minutes for equal costs.

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Problem 30080

Two phone companies offer plans: A: \$34 + \$0.05/min and B: \$40 + \$0.04/min. Find equations, compare costs for 1,160 and 420 mins, and find equal minutes.

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Problem 30081

Find the monthly expenses for ABC electronics as a function of units produced, given \$2.50 per unit, \$350 utilities, and \$3,300 salaries.

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Problem 30082

Convert $79^{\circ} \mathrm{C}$ to Fahrenheit and $90^{\circ} \mathrm{F}$ to Celsius using $y=\frac{5}{9}(x-32)$ .

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Problem 30083

Analyze the function $f(x)=(x+8)(x-2)^{2}$ : find end behavior, intercepts, zeros, turning points, and sketch the graph.

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Problem 30084

A baseball travels 302 ft at 54 mph and 386 ft at 82 mph. Find the line model and determine the distance per mph increase.

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Problem 30085

Analyze the function $H(x)=\frac{2x-6}{9-x^{2}}$ for its domain, vertical, and horizontal asymptotes.

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Problem 30086

Analyze the function $R(x)=\frac{x^{2}-100}{x^{4}-81}$ : Find its domain, vertical asymptotes, and horizontal asymptote.

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Problem 30087

Estimate the CPI for 2014 and 2015 using the line from the points (11, 225.9) and (16, 230.5).

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Problem 30088

Find the equivalent expression for $x^{6} x^{2}$ . Options: $x^{4} x^{3}$ , $x^{5} x^{3}$ , $x^{7} x^{3}$ , $x^{9} x^{3}$ .

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Problem 30089

Determine the end behavior of $f(x)=-5 x^{2}(x^{2}-11)$ and find its real zeros and their multiplicities.

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Problem 30090

Solve for real solutions of $2 x^{4}-23 x^{3}+89 x^{2}-129 x+45=0$ . A: $\mathrm{x}=$ (exact answers); B: No real solutions.

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Problem 30091

You earn \$5/hour as a cashier and \$8/hour as a lifeguard. You want to work ≤15 hours and earn ≥\$100 weekly.

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Problem 30092

Analyze the polynomial $f(x)=(x+7)^{2}(4-x)$ . Find end behavior, intercepts, zeros, turning points, and sketch the graph.

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Problem 30093

Graph the function $f(x)=-x^{2}+4x+1$ and find its vertex, max/min, axis of symmetry, intercepts, domain, and range.

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Problem 30094

Analyze the polynomial $f(x)=x^{3}+x^{2}-42x$ . Answer parts (a) to (e) including intercepts and turning points.

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Problem 30095

Solve for $x$ in the equation: $8 - 2x = -8x + 14$ . Options: $x = -1$ , $x = -\frac{3}{5}$ , $x = \frac{3}{5}$ , $x = 1$ .

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Problem 30096

Solve the inequality: $9x - 9 \geq -4x^2$ . Provide the solution in interval notation.

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Problem 30097

What number can you multiply to eliminate fractions in $-\frac{3}{4} m - \frac{1}{2} = 2 + \frac{1}{4} m$ ? 2, 3, 4, or 5?

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Problem 30098

Find $f(x+b)$ for $f(x)=3 x^{2}+5 x+20 x$ . Also, compute $f(x) g(x)$ for $f(x)=6 x^{3}+5 x$ and $g(x)=7 x+3$ .

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Problem 30099

Find the complex zeros of the polynomial $f(x)=x^{3}-15 x^{2}+79 x-145$ .

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Problem 30100

What number can you multiply by to eliminate fractions in the equation $6-\frac{3}{4} x+\frac{1}{3}=\frac{1}{2} x+5$ ? Options: 2, 3, 6, 12.

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1 ...298 299 300 301 302 303 304 ...312

Algebra

Problem 30001

Solve u2=16u^{2}=16u2=16, where uuu is a real numbe Simplify your answer as much as pcIf there is more than one solution, If there is no solution, click on "No u=u=u= □\square□

Problem 30002

Problem 30003

Problem 30004

Problem 30005

Problem 30006

Problem 30007

Problem 30008

Problem 30009

(3) Which value of xxx makes the following statement true? −0.5−x=-0.5-x=−0.5−x= a positive number A x=1.5x=1.5x=1.5 B x=0.5\quad x=0.5x=0.5 c x=−0.5x=-0.5x=−0.5 D x=−1.5x=-1.5x=−1.5

Problem 30010

y=xy=xy=x

Problem 30011

18. m÷3.54=1.5m \div 3.54=1.5m÷3.54=1.5 m÷3.54×m \div 3.54 \timesm÷3.54× □\square□ =1.5×=1.5 \times=1.5× □\square□ m=m=m= □\square□

Problem 30012

7(−6f+1)−2(3f−8)7(-6 f+1)-2(3 f-8)7(−6f+1)−2(3f−8)

Problem 30013

Problem 30014

rms: 10(0.3s+0.2)−9s10(0.3 s+0.2)-9 s10(0.3s+0.2)−9s

Problem 30015

t terms: 9(0.7a+0.3)+8a9(0.7 a+0.3)+8 a9(0.7a+0.3)+8a

Problem 30016

Problem 30017

A table of values of a linear function is shown below. \begin{tabular}{|l|l|l|l|l|} \hlinexxx & 0 & 1 & 2 & 3 \\ \hlineyyy & 3 & 5 & 7 & 9 \\ \hline \end{tabular}Find the slope and yyy-intercept of the function's graph. slope: □\square□ yyy-intercept: □\square□

Problem 30018

Problem 30019

6. −422t−522t+15+(−5)-\frac{4}{22} t-\frac{5}{22} t+15+(-5)−224​t−225​t+15+(−5)

Problem 30020

9) *(I know this is linear - it's assessing transformations)Part A The linear function f(x)f(x)f(x) is graphed on the coordinate grid. Graph the linear function g(x)=f(x)+3g(x)=f(x)+3g(x)=f(x)+3.

Problem 30021

A population of rabbits oscillates 33 above and below average during the year, hitting the lowest value in January (t=0)(t=0)(t=0). The average population starts at 900 rabbits and increases by 130 each year. Find an equation for the population, PPP, in terms of the months since January, ttt.

Problem 30022

Problem 30023

Problem 30024

(1 point) Find the augmented matrix for this system. −x+2y=52x+3y=−9\begin{array}{r} -x+2 y=5 \\ 2 x+3 y=-9 \end{array}−x+2y=52x+3y=−9​Augmented matrix: □\square□ □\square□ □\square□ □\square□ help (

Problem 30025

Problem 30026

Solve for XXX. 72=3x72=3 x72=3xSimplify your answer as much as possible. x=x=x= □\square□

Problem 30027

Solve the equation (x−1)(x−3)=0(x-1)(x-3)=0(x−1)(x−3)=0 for the values of xxx.

Problem 30028

Mindy and Troy ate 9 pieces of cake. Mindy had 3 pieces, Troy had 14\frac{1}{4}41​ of the total. How much is the total?

Problem 30029

Solve the equation: (x−1)(x−3)=0(x-1)(x-3)=0(x−1)(x−3)=0

Problem 30030

Mindy ate 3 pieces and Troy had 14\frac{1}{4}41​ of the total. They ate 9 pieces. Find total pieces of cake ccc.

Problem 30031

Kala, Scott, and Rafael sent 80 messages total. If Kala sent xxx, Rafael sent x+5x + 5x+5, and Scott sent 3(x+5)3(x + 5)3(x+5), find xxx.

Problem 30032

Which graph shows the function g(x)=−x+3g(x)=-\sqrt{x+3}g(x)=−x+3​? Explain the effects of the negative sign and the square root.

Problem 30033

Solve the compound inequality: 2x≥72x \geq 72x≥7 or −47x−1>6-\frac{4}{7}x - 1 > 6−74​x−1>6. What are the solution ranges for xxx?

Problem 30034

Problem 30035

Determine if the sequence 200,40,8,…200, 40, 8, \ldots200,40,8,… is arithmetic, geometric, or neither.

Problem 30036

Solve the equation 7x+2−92x=82x+4\frac{7}{x+2}-\frac{9}{2 x}=\frac{8}{2 x+4}x+27​−2x9​=2x+48​ for xxx algebraically and graphically.

Problem 30037

Determine if the sequence defined by f(1)=10,f(n)=f(n−1)−1.5f(1)=10, f(n)=f(n-1)-1.5f(1)=10,f(n)=f(n−1)−1.5 for n≥2n \geq 2n≥2 is arithmetic, geometric, or neither.

Problem 30038

What number can you multiply each term by to remove the fractions in the equation? 12x−54+2x=56+x\frac{1}{2} x - \frac{5}{4} + 2x = \frac{5}{6} + x21​x−45​+2x=65​+x Options: 2, 6, 10, 12.

Problem 30039

Solve the equation: 34x+3−2x=−14+12x+5\frac{3}{4} x + 3 - 2 x = -\frac{1}{4} + \frac{1}{2} x + 543​x+3−2x=−41​+21​x+5

Problem 30040

Ann's taxi fare was \2.10permileplusa$5tip,totaling$49.10.Findthedistance2.10 per mile plus a \$5 tip, totaling \$49.10. Find the distance 2.10permileplusa$5tip,totaling$49.10.Findthedistance(x)inmiles: in miles: inmiles:2.10x + 5 = 49.10$.

Problem 30041

Solve for ccc in the equation A=B+BcdA = B + B c dA=B+Bcd.

Problem 30042

Solve the equation x2−32=0x^{2}-32=0x2−32=0 to find xxx algebraically and graphically.

Problem 30043

David's total pay is given by P=1800+80NP = 1800 + 80NP=1800+80N. What is his pay if he sells 27 copies?

Problem 30044

Simplify 20 - 6 + 8 ÷ 2^{3}. What is the result?

Problem 30045

Calculate nnn using the formula n=A⋅B×ACn = A \cdot B \times A Cn=A⋅B×AC and the determinant ∣3112−1−3∣\left| \begin{array}{ccc} 3 & 1 & 1 \\ 2 & -1 & -3 \end{array} \right|∣∣​32​1−1​1−3​∣∣​.

Problem 30046

Write an equation for water in a pond: W=300+28TW = 300 + 28TW=300+28T. Find WWW after 17 minutes.

Problem 30047

Solve $u^{2}=16$ , where $u$ is a real numbe Simplify your answer as much as pc
If there is more than one solution, If there is no solution, click on "No $u=$ $\square$

(3) Which value of $x$ makes the following statement true? $-0.5-x=$ a positive number A $x=1.5$ B $\quad x=0.5$ c $x=-0.5$ D $x=-1.5$

$y=x$

18. $m \div 3.54=1.5$ $m \div 3.54 \times$ $\square$ $=1.5 \times$ $\square$ $m=$ $\square$

$7(-6 f+1)-2(3 f-8)$

rms: $10(0.3 s+0.2)-9 s$

t terms: $9(0.7 a+0.3)+8 a$

A table of values of a linear function is shown below. \begin{tabular}{|l|l|l|l|l|} \hline $x$ & 0 & 1 & 2 & 3 \\ \hline $y$ & 3 & 5 & 7 & 9 \\ \hline \end{tabular}
Find the slope and $y$ -intercept of the function's graph. slope: $\square$ $y$ -intercept: $\square$

6. $-\frac{4}{22} t-\frac{5}{22} t+15+(-5)$

9) *(I know this is linear - it's assessing transformations)
Part A The linear function $f(x)$ is graphed on the coordinate grid. Graph the linear function $g(x)=f(x)+3$ .

A population of rabbits oscillates 33 above and below average during the year, hitting the lowest value in January $(t=0)$ . The average population starts at 900 rabbits and increases by 130 each year. Find an equation for the population, $P$ , in terms of the months since January, $t$ .

(1 point) Find the augmented matrix for this system. $\begin{array}{r} -x+2 y=5 \\ 2 x+3 y=-9 \end{array}$
Augmented matrix: $\square$ $\square$ $\square$ $\square$ help (

Solve for $X$ . $72=3 x$
Simplify your answer as much as possible. $x=$ $\square$

Solve the equation $(x-1)(x-3)=0$ for the values of $x$ .

Mindy and Troy ate 9 pieces of cake. Mindy had 3 pieces, Troy had $\frac{1}{4}$ of the total. How much is the total?

Solve the equation: $(x-1)(x-3)=0$

Mindy ate 3 pieces and Troy had $\frac{1}{4}$ of the total. They ate 9 pieces. Find total pieces of cake $c$ .

Kala, Scott, and Rafael sent 80 messages total. If Kala sent $x$ , Rafael sent $x + 5$ , and Scott sent $3(x + 5)$ , find $x$ .

Which graph shows the function $g(x)=-\sqrt{x+3}$ ? Explain the effects of the negative sign and the square root.

Solve the compound inequality: $2x \geq 7$ or $-\frac{4}{7}x - 1 > 6$ . What are the solution ranges for $x$ ?

Determine if the sequence $200, 40, 8, \ldots$ is arithmetic, geometric, or neither.

Solve the equation $\frac{7}{x+2}-\frac{9}{2 x}=\frac{8}{2 x+4}$ for $x$ algebraically and graphically.

Determine if the sequence defined by $f(1)=10, f(n)=f(n-1)-1.5$ for $n \geq 2$ is arithmetic, geometric, or neither.

What number can you multiply each term by to remove the fractions in the equation? $\frac{1}{2} x - \frac{5}{4} + 2x = \frac{5}{6} + x$ Options: 2, 6, 10, 12.

Solve the equation: $\frac{3}{4} x + 3 - 2 x = -\frac{1}{4} + \frac{1}{2} x + 5$

Ann's taxi fare was \ $2.10 per mile plus a \$5 tip, totaling \$49.10. Find the distance$ (x) $in miles:$ 2.10x + 5 = 49.10$.

Solve for $c$ in the equation $A = B + B c d$ .

Solve the equation $x^{2}-32=0$ to find $x$ algebraically and graphically.

David's total pay is given by $P = 1800 + 80N$ . What is his pay if he sells 27 copies?

Calculate $n$ using the formula $n = A \cdot B \times A C$ and the determinant $\left| \begin{array}{ccc} 3 & 1 & 1 \\ 2 & -1 & -3 \end{array} \right|$ .

Write an equation for water in a pond: $W = 300 + 28T$ . Find $W$ after 17 minutes.

Solve $2.25 - 11j - 7.75 + 1.5j = 0.5j - 1$ . Find the value of $j$ . Options: $-0.45$ , $-0.25$ , $0.25$ , $0.45$ .

The Sugar Sweet Company has a total cost equation $C = 4500 + 150S$ . Find the cost to transport 14 tons of sugar. Total cost: \$.

Let $y$ be the total cost of publishing a book and $x$ the number of copies printed, related by $1250 + 25x = y$ .
1. What is the change in cost per book printed?
2. What is the initial cost before printing?

Solve the equation $2.25 - 11j - 7.75 + 1.5j = 0.5j - 1$ . Find the value of $j$ .

A pond's water amount $y$ in liters after $x$ minutes is given by $y=500+32x$ . Find the starting amount and change per minute.

Calculate Michael Phelps' resultant velocity swimming North at $14 \mathrm{~m/s}$ against a $5 \mathrm{~m/s}$ South current.

Chang drives to Miami. Let $y$ be his distance from Miami (miles) and $x$ be driving time (hours). The equation is $-60x + 375 = y$ .
1. What was Chang's initial distance from Miami?
2. What is the distance change per hour he drives?

Find the value of $\frac{4 x-y}{2 y+x}$ for $x=3$ and $y=3$ .

Find the value of $2x + 11y$ for $x = 4$ and $y = 2$ . Choices: 30, 38, 48, 136.

Prepare a 100 ppm NaCl solution from a 1000 ppm stock using $M1V1 = M2V2$ . Find the volume of stock needed.

Chau has 18 shirts. Let $N$ be shirts left after folding $F$ . Find $N$ after folding 13 shirts.

Solve for $b$ in the equation $(2b + 88) + (-6b + 74) = 170$ .

The admission fee is \ $20 per person. Let$ C $be the cost for$ P $people. Find the equation and calculate$ C$ for 13 people.

Find the value of $x$ in the equation $x - 3x = 2(4 + x)$ .

Solve for $x$ : $x^{\frac{1}{3}}=2$ .

A plant is 43 cm tall and grows 1 cm/month. Find the equation for height $H$ after $M$ months and $H$ after 34 months.

Martina has 21 cars. If she rents $R$ cars, how many cars $C$ does she have left? Find $C$ after renting 14 cars.

Given the demand $p=900-10q$ and supply $p=20q$ , find: a. Price when demand is 0. b. Price when demand is 40 units. c. Supply at \$400. d. Demand at \$400. e. Surplus or shortage at \$400? f. Graph the curves. g. Equilibrium price and quantity.

Find the secant line equation for $y=f(x)=x^{2}+x$ at $x=-3$ and $x=-1$ , and the tangent line at $x=-3$ . Which slope formula is correct?

Rewrite $x^{-3}$ as a fraction.

What is the value of $(\sqrt[3]{x})^{0}$ ?

Simplify $(\sqrt[3]{x})^{6}$ .

A plant is 11 cm tall and grows 1 cm/month. Find the equation for height $H$ after $M$ months and graph it.

Amanda has 14 cars for rent. Write the equation $C = 14 - R$ for cars left after renting $R$ . Graph it.