Algebra

Problem 31001

4. A company budgeted unit sales of 204,000 units for January, 2017 and 240,000 units for February 2017. The company-has-a policy of having an inventory of units on hand at the end equal to $30 \%$ of next month's budgeted unit sales. If there were 61,200 units of inventory on hand on December 31, 2016, how many units should be produced in January, 2017 in order for the company to meet its goals?

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Problem 31002

In Exercises 12-14, factor the polynomial completely. $x$ $\begin{array}{l} \text { 12. } 36 p^{4}-25 \\ \left(6 p^{z-5}\right)\left(6 p^{2}+5\right) \\ \left(6 p^{2}+5\right)(\quad) \end{array}$
13. $n^{4}+11 n^{2}+28$ $\begin{array}{l} \text { *14. } \begin{array}{l} \\ 4 \\ y^{2}-16 \\ 4 \\ \left(y^{2}-4\right)\left(y^{2}+4\right) \\ \left(y^{2}+4\right)(y-2)(y+2) \end{array} \end{array}$

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Problem 31003

2. (35)Risolvere le seguenti equazioni e disequazioni logaritmiche:() a) $3-\log _{2}\left(x^{2}-2 x\right)=0$ d) $\log _{\frac{1}{2}}(3 x)-\log _{\frac{1}{2}}(x+1)>1$ b) $\log (1+x)+2 \log \sqrt{1-x}=\log (9-6 x)$ c) $2 \cdot 3^{x+2}=2^{x+1}$ e) $\frac{\log (x-3) \cdot \log x}{\log (x-4)} \leq 0$ f) $\left(\log _{2} x\right)^{3}-9 \log _{2} x \leq 0$ g) $\log _{\frac{1}{2}}\left(x^{2}-4\right)+\log _{2} 2 x-1>0$

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Problem 31004

1. (5)Calcolare il valore delle seguenti espressioni: a) $\log _{2}(8 \cdot \sqrt[3]{2})+\log _{2} \frac{4 \cdot \sqrt[3]{2}}{\sqrt{8}}=$ b) $5^{\log _{5} 3}+\log \left(\log _{4} 4\right)+\log _{3} 9=$

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Problem 31005

Simplify to a single power of 6: $\left(6^{2}\right)^{3}$

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Problem 31006

82 8-2 1 83 00 A 1 8-4 00 80 1 1 1 = √√√8 # 4096 64 = √√8 64 512

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Problem 31007

2) Theresa adds $\$ 3,000$ to her savings account on the first day of each year. Marcus adds $\$ 3,000$ to his savings account on the last day of each year. They both earn 7.5 percent annual interest. What is the difference in their savings account balances at the end of 34 years? You estimate that you will owe \$48,200 in student loans by the time you graduate. The interest rate is 6.52 percent. If you want to have this debt paid in full within six years, how much must you pay each month?

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Problem 31008

At Sunrise Mountain Resort, skiers and snowboarders use a chairlift to get to the top of a hill. The graph shows the relationship between the number of full chairs, $c$ , that arrive at the top of the hill and the total number of people transported, $p$ .

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Problem 31009

Period: The formula for the amount of money in an account paying compound interest is: $A=P\left(1+\frac{r}{n}\right)^{n t}$
13. Write an equation that models the amount of money in an account that pays $2.5 \%$ annual interest, compounded quarterly, with an initial investment of \ $1,000.$ A=\qquad$
Graph each function.
14. $f(x)=-2+\log _{2}(x+1)$
15. $f(x)=(x+2)^{3}-4$

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Problem 31010

Determine the number of solutions of the system. $\begin{array}{l} y=-4 x+5 \\ y=-2 x+5 \end{array}$ The systom has no solution. The systom has one solution. The system has infinitely many solutions.

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Problem 31011

You invest $\$ 300$ in an account at $7.5 \%$ per year simple interest. How much will you have in the account at the beginning of the 11th year? Round your answer to the nearest whole dollar. A. $\$ 575$ B. $\$ 525$ C. $\$ 601$ D. $\$ 375$ SUBMIT

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Problem 31012

Listen
There are three integers. The sums of each distinct pair of integers are $-16,-9$ , and -1 . What is the greatest integer?
Greatest Integer: $\square$ Previous 5 6 7 8 9 10 11 12 13 14 Next

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Problem 31013

What is the stope of the line that passes through $(-3,2)$ and $(-3,4)$ ? (A) $=\frac{13}{4}$ (B) 0 (C) $-\frac{4}{13}$ (D) Undefined

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Problem 31014

\begin{tabular}{|r|r|} \hline $x$ & $y$ \\ \hline-2 & -4 \\ \hline-1 & -3 \\ \hline 0 & -2 \\ \hline 1 & -1 \\ \hline 2 & 0 \\ \hline \end{tabular}
Function 3 Function 4 $y=-2 x-4$ The slope is 3 and the $y$ -intercept is 5 .
Answer the following questions. (a) Which function has the graph with a $y$ -intercept closest to 0 ? Function 1 Function 2 Function 3 Function 4 (b) Which functions have graphs with slopes less than 2? (Check all that apply.) Function 1 Function 2 Function 3 Function 4 (c) Which function has the graph with the greatest $y$ -intercept? Function 1 Function 2 Function 3 Function 4

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Problem 31015

$f(x)=5 x+1 \quad g(x)=2 x+6$
1. Find $f(g(x))$

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Problem 31016

27) Solve the quadratic by Graphing on Desmos: $-2 x^{2}+12 x=17$ \begin{tabular}{|l|l|} \hline A. $x=2.50$ and 3.59 & C. $x=2.293$ and 3.707 \\ \hline B. $x=-1.183$ and 7.183 & D. No Real Solutions \\ \hline \end{tabular}

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Problem 31017

Détermine if the two functions are inverses of each othe $\begin{array}{l} f(x)=\sqrt[3]{3-x} \\ g(x)=x^{3}-3 \end{array}$ No because $f(g(x))=\sqrt[3]{-x^{3}+6}$ and $g(f(x))=-x$ No because $f(g(x))=-x$ and $g(f(x))=-x$ Yes because $f(g(x))=-x$ and $g(f(x))=-x$ Yes because $f(g(x))=\sqrt[3]{-x^{3}+6}$ and $g(f(x))=-x$

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Problem 31018

Graph the line. $y=\frac{3}{2} x-1$

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Problem 31019

Name $\qquad$ Date $\qquad$
1. Jacob lives on a street that runs east and west. The grocery store is to the east and the post office is to the west of his house. Both are on the same street as his house. Answer the questions below about the following story:
At 1:00 p.m., Jacob hops in his car and drives at a constant speed of 25 mph for 6 minutes to the post office. After 10 minutes at the post office, he realizes he is late and drives at a constant speed of 30 mpl to the grocery store, arriving at 1:28 p.m. He then spends 20 minutes buying groceries. a. Draw a graph that shows the distance Jacob's car is from his house with respect to time. Remember to label your axes with the units you chose and any important points (home, post office, grocery store).

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Problem 31020

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 55:23
Margo spends a quarter of her paycheck on a new dress, $\frac{1}{8}$ of her paycheck on shoes, and $\$ 24$ on a birthday present. If she spent $\$ 60$ altogether, how much was Margo's paycheck? $\$ 96$ \$160 \$216 \$504

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Problem 31021

1. Below is a table of a partial set of values of the linear function $h(x)$ . \begin{tabular}{|c|c|} \hline $x$ & $h(x)$ \\ \hline-4 & -1 \\ \hline 0 & 1 \\ \hline 2 & 2 \\ \hline 8 & 5 \\ \hline 10 & 6 \\ \hline \end{tabular}
If the function is of the form $h(x)=m x+b$ , what is the value of the parameter $m$ ? A. 1 B. -2 C. 0 D. $\frac{1}{2}$ A B C D

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Problem 31022

Solve the equation by subtracting the appropriate number from both sides and enter the value of $x$ below. $\begin{array}{l} x+27=91 \\ x= \end{array}$ $\qquad$
Answer here

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Problem 31023

(11) $y=1\left(x^{2}+5 x+3\right)$

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Problem 31024

(2) Find the points of discontinuity of the function $\frac{x^{2}-3 x-4}{x^{3}-2 x^{2}-5 x+6}$

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Problem 31025

What is the simplest form of the radical expression $\sqrt{50 x^{6} y^{5}}$ ? Assume $x$ and $y$ are positive. $5 x^{2} y \sqrt{10 x^{2} y^{2}}$ $5 x^{3} y^{2} \sqrt{2 y}$ $25 x^{3} y^{2} \sqrt{2 x^{3} y^{3}}$

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Problem 31026

Evaluate the expression using order of operations: $4 \cdot[-6+5-5 \div(-5)]^{2}$ .

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Problem 31027

Show the commutative property of multiplication: complete $q \cdot c =$ with $c \cdot q$ .

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Problem 31028

Identify the property shown: $7(y+2)=7y+14$ . Options: A. associative, B. distributive, C. commutative, D. associative.

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Problem 31029

Solve for $b$ in the equation $\frac{b}{-5}=11$ .

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Problem 31030

Complete the equation using the distributive property: $2(x+y+7)=$

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Problem 31031

Identify the property shown: $p \cdot(r \cdot q)=(p \cdot r) \cdot q$ . Choose A, B, C, or D.

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Problem 31032

Complete the equation to show the distributive property: $2(x+y+7)=$

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Problem 31033

A car bought for \$38,000 is worth \$2,600 after 6 years. What was its value at the end of year 3?

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Problem 31034

Solve for $n$ in the equation $18 n + 12 = 27 n + 3$ .

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Problem 31035

Identify the property shown: $2c \cdot 1 = 2c$ . Choose from: commutative, distributive, identity, inverse, or associative property.

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Problem 31036

Find the $x$ -intercept and $y$ -intercept of the line $2x + 4y = -8$ and use them to graph the line.

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Problem 31037

Find $(f \circ g)(x)$ , $(g \circ f)(x)$ , and $(f \circ g)(3)$ for $f(x)=2x+1$ and $g(x)=\frac{x+3}{4+x}$ .

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Problem 31038

Graph the line with slope $2/5$ and $y$ -intercept -5.

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Problem 31039

Determine the slope and $y$ -intercept of the line given by the equation $-6x - y = -1$ .

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Problem 31040

Find the $y$ -intercept and slope of the line $-6x - y = -1$ . Provide answers in simplest form.

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Problem 31041

Simplify the expression using order of operations: $-1-[6-(-1 \cdot 7-5)] \div(-2)$ .

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Problem 31042

Graph the line with slope $\frac{2}{5}$ and $y$ -intercept -5.

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Problem 31043

Simplify the expression: $(6 p^{3}-p+6 p^{4})+(8 p-5 p^{4}+2 p^{3})$ .

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Problem 31044

Find the standard matrix of the linear transformation $T$ that reflects points first through $x_{2}=-x_{1}$ and then the $x_{2}$ -axis. $A=$ (Enter values for each matrix element.)

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Problem 31045

Simplify the expression $\frac{4}{4^{-1}}$ using exponent properties and show only positive exponents.

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Problem 31046

Simplify the expression: $(6 x^{3}-6 x^{4}+5 x)-(4 x+2 x^{3}+7 x^{2})$ .

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Problem 31047

Find the line equation in slope-intercept form with $y$ -intercept -7 and slope $-\frac{1}{3}$ .

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Problem 31048

Find a matrix for the linear transformation $T(x_{1}, x_{2}, x_{3})=\left(x_{1}-8 x_{2}+5 x_{3}, x_{2}-7 x_{3}\right)$ . $A=$

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Problem 31049

Solve for $x$ in the equation $4(x-b)=x$ .

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Problem 31050

Find the equation of the line with a $y$ -intercept of -7 and a slope of $-\frac{1}{3}$ .

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Problem 31051

Simplify $3^{5} \cdot 3^{-7}$ using exponent properties, showing only positive exponents.

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Problem 31052

Simplify the expression: $(r^{3}+3 r^{2}-1)+(8 r^{3}+7+2 r^{2})$ .

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Problem 31053

Graph the line with a $y$ -intercept of -7 and a slope of $-\frac{1}{3}$ .

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Problem 31054

Identify the property shown in: $5(z+4)=5z+20$ . Options: A. distributive, B. associative addition, C. associative multiplication, D. commutative multiplication.

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Problem 31055

Simplify the expression: $(6 x^{4}+2 x^{3}-7)-(2-x^{4}+8 x^{3})$ .

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Problem 31056

Identify the property shown by $3 z \cdot \frac{1}{3 z}=1$ . Choose from: A. inverse multiplication B. identity multiplication C. identity addition D. inverse addition.

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Problem 31057

Simplify $x^{-3}$ using exponent rules, expanding numerical parts and using only positive exponents.

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Problem 31058

Given $A=\left[\begin{array}{ccc}\frac{1}{3} & 0 & 0 \\ 0 & \frac{1}{3} & 0 \\ 0 & 0 & \frac{1}{3}\end{array}\right]$ , $u=\left[\begin{array}{r}9 \\ 12 \\ -15\end{array}\right]$ , find $T(u)$ and $T(v)$ for $T(\mathbf{x})=A \mathbf{x}$ .

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Problem 31059

Simplify the expression: $(2 a^{4}+a^{3}+4)-(5-8 a^{3}+a^{4})$ .

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Problem 31060

Find the equation of the line given that it passes through (6, 0). Use $y=3x+b$ to find $b$ .

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Problem 31061

How many rows and columns must matrix $A$ have to map $\mathbb{R}^{8}$ to $\mathbb{R}^{9}$ using $T(x)=A x$ ? A. 9 rows, 9 columns B. 9 rows, 8 columns C. 8 rows, 8 columns D. 8 rows, 9 columns

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Problem 31062

Simplify $\frac{x^{-1}}{x^{8}}$ using exponent properties and show only positive exponents.

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Problem 31063

Graph the line with slope -3 and y-intercept -2.

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Problem 31064

Complete the equation using the distributive property: $7(x+y+3)=$ $7(x+y+3)=7x+7y+21$

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Problem 31065

Find the equation of the line through $(-6,5)$ that is parallel to $-2x + 3y = 4$ .

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Problem 31066

Simplify $4^{0} \cdot 4^{2}$ using exponent rules and show only positive exponents.

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Problem 31067

Find the standard form equation of the line through points $(0,6)$ and $(4,0)$ .

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Problem 31068

Find all $\mathbf{x}$ in $\mathbb{R}^{4}$ such that $A \mathbf{x} = \mathbf{0}$ for the matrix $A = \begin{bmatrix} 1 & 4 & 16 & 8 \\ 1 & 0 & 4 & -4 \\ 0 & 1 & 3 & 4 \\ -2 & 0 & -8 & -4 \end{bmatrix}$ .

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Problem 31069

Identify the property shown: $q \cdot(p-r)=(q \cdot p) \cdot r$ . Choose: A. addition, B. multiplication commutative, C. multiplication associative, D. distributive.

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Problem 31070

Simplify the expression $\frac{-6 x^{5} y^{-2}}{2 x^{3} y^{5}}$ using exponent properties, ensuring positive exponents.

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Problem 31071

Rewrite the equation in standard form: $y + 1 = \frac{2}{3}(x + 3)$

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Problem 31072

Graph the line with y-intercept 1 and slope 4.

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Problem 31073

Graph the line with a $y$ -intercept of -3 and a slope of $\frac{1}{4}$ .

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Problem 31074

Find where the piecewise function $f(x)$ is not continuous:
$f(x)=\left\{\begin{array}{cc} \sin x & x<0 \\ x & 0 \leq x \leq 1 \\ -x+2 & 1<x<2 \\ x-3 & x \geq 2 \end{array}\right.$

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Problem 31075

Simplify the expression $x^{0} - 4y^{0}$ using exponent properties, showing only positive exponents.

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Problem 31076

Evaluate the expression $-9 x^{2}+9 y^{2}+1$ for $x=-7$ and $y=3$ , then simplify.

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Problem 31077

Graph the line with slope $-\frac{3}{4}$ and $y$ -intercept at -2.

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Problem 31078

Find the standard matrix of the linear transformation $T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}$ given $T(\mathbf{e}_{1})=(1,9)$ , $T(\mathbf{e}_{2})=(-4,6)$ , $T(\mathbf{e}_{3})=(9,-8)$ . $A=\square$ (Type an integer or decimal for each matrix element.)

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Problem 31079

Simplify the expression by combining like terms: $4x - x$ .

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Problem 31080

Calculate the wavelength for a hydrogen atom transition from $(n=2)$ to $(n=4)$ using $\lambda=\frac{h c}{\Delta E}$ . What color is it?

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Problem 31081

Simplify the expression: $(b^{3}-b^{2}-3 b^{4})+(2 b^{3}-b^{4}-7 b^{2})$ .

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Problem 31082

Simplify the expression: $-2(3x + 1) - 3(4y + 4)$ .

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Problem 31083

Solve the equation $9 - x = 2x - 3$ and match the solution to the correct description.

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Problem 31084

A will divides $\frac{1}{2}$ of the estate among relatives. $\frac{1}{5}$ of the remaining goes to charity A. Find the fraction for charity A.

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Problem 31085

Find a matrix for the linear transformation $T(x_{1}, x_{2}, x_{3})=\left(x_{1}-4 x_{2}+7 x_{3}, x_{2}-6 x_{3}\right)$ . $A=\square$

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Problem 31086

Evaluate $(x+y)^{2}-5z$ at $x=0, y=3, z=-4$ and simplify your answer.

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Problem 31087

Simplify the expression: $\left(x+7 x^{2}-2 x^{3}\right)-\left(7 x+4-6 x^{3}\right)$ .

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Problem 31088

In a jar, $\frac{2}{5}$ are blue, $\frac{1}{3}$ are red, and the rest (126) are green and yellow. Green = $\frac{3}{4}$ yellow. Find yellow beads.

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Problem 31089

Simplify the expression: $(4x + 6x^2 - 6x^3) - (2x + 5x^3 - 8x^4)$ .

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Problem 31090

Graph the equation $y=3x+5$ and find the graph that matches $y=11$ . Solve the equation $3x+5=11$ .

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Problem 31091

Identify the first term of the expression $5s + 3$ . Is it a variable or constant term? State the variable and coefficient if it's variable.

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Problem 31092

Select the graph for $y=3 x+5$ and $y=11$ . Solve $3 x+5=11$ to find $x=\square$ .

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Problem 31093

Simplify the expression: $(7 n^{4}+1+2 n)+(n^{4}+2 n-2)$ .

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Problem 31094

Identify the second term of the expression $5s + 3$ . Is it a variable or constant term? If variable, state the variable and coefficient.

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Problem 31095

A potato is shot up with an initial speed of $34 \mathrm{ft/s}$ from a 42 ft building. Find the time it stays in the air using $s(t)=-16 t^{2}+34 t+42$ .

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Problem 31096

Simplify the expression: $(6+5 m^{2}-8 m^{4}) - (6+5 m^{2}+7 m^{4})$ .

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Problem 31097

Graph the line with a y-intercept of -8 and a slope of 8.

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Problem 31098

Simplify the expression by combining like terms: $7x + 7 - 2x + 2 + 5x$ .

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Problem 31099

Simplify the expression: $\left(5 n^{3}-5 n^{2}-6 n^{4}\right)+\left(7 n^{4}+n^{2}-4 n\right)$ .

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Problem 31100

Find the slope of a line perpendicular and a line parallel to $y=-\frac{2}{5} x+8$ .

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Algebra

Problem 31001

Problem 31002

Problem 31003

Problem 31004

Problem 31005

Simplify to a single power of 6: (62)3\left(6^{2}\right)^{3}(62)3

Problem 31006

82 8-2 1 83 00 A 1 8-4 00 80 1 1 1 = √√√8 # 4096 64 = √√8 64 512

Problem 31007

Problem 31008

At Sunrise Mountain Resort, skiers and snowboarders use a chairlift to get to the top of a hill. The graph shows the relationship between the number of full chairs, ccc, that arrive at the top of the hill and the total number of people transported, ppp.

Problem 31009

Problem 31010

Determine the number of solutions of the system. y=−4x+5y=−2x+5\begin{array}{l} y=-4 x+5 \\ y=-2 x+5 \end{array}y=−4x+5y=−2x+5​ The systom has no solution. The systom has one solution. The system has infinitely many solutions.

Problem 31011

You invest $300\$ 300$300 in an account at 7.5%7.5 \%7.5% per year simple interest. How much will you have in the account at the beginning of the 11th year? Round your answer to the nearest whole dollar. A. $575\$ 575$575 B. $525\$ 525$525 C. $601\$ 601$601 D. $375\$ 375$375 SUBMIT

Problem 31012

ListenThere are three integers. The sums of each distinct pair of integers are −16,−9-16,-9−16,−9, and -1 . What is the greatest integer?Greatest Integer: □\square□ Previous 5 6 7 8 9 10 11 12 13 14 Next

Problem 31013

What is the stope of the line that passes through (−3,2)(-3,2)(−3,2) and (−3,4)(-3,4)(−3,4) ? (A) =134=\frac{13}{4}=413​ (B) 0 (C) −413-\frac{4}{13}−134​ (D) Undefined

Problem 31014

Problem 31015

f(x)=5x+1g(x)=2x+6f(x)=5 x+1 \quad g(x)=2 x+6f(x)=5x+1g(x)=2x+61. Find f(g(x))f(g(x))f(g(x))

Problem 31016

27) Solve the quadratic by Graphing on Desmos: −2x2+12x=17-2 x^{2}+12 x=17−2x2+12x=17 \begin{tabular}{|l|l|} \hline A. x=2.50x=2.50x=2.50 and 3.59 & C. x=2.293x=2.293x=2.293 and 3.707 \\ \hline B. x=−1.183x=-1.183x=−1.183 and 7.183 & D. No Real Solutions \\ \hline \end{tabular}

Problem 31017

Problem 31018

Graph the line. y=32x−1y=\frac{3}{2} x-1y=23​x−1

Problem 31019

Problem 31020

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 55:23Margo spends a quarter of her paycheck on a new dress, 18\frac{1}{8}81​ of her paycheck on shoes, and $24\$ 24$24 on a birthday present. If she spent $60\$ 60$60 altogether, how much was Margo's paycheck? $96\$ 96$96 \$160 \$216 \$504

Problem 31021

Problem 31022

Solve the equation by subtracting the appropriate number from both sides and enter the value of xxx below. x+27=91x=\begin{array}{l} x+27=91 \\ x= \end{array}x+27=91x=​ \qquadAnswer here

Problem 31023

(11) y=1(x2+5x+3)y=1\left(x^{2}+5 x+3\right)y=1(x2+5x+3)

Problem 31024

(2) Find the points of discontinuity of the function x2−3x−4x3−2x2−5x+6\frac{x^{2}-3 x-4}{x^{3}-2 x^{2}-5 x+6}x3−2x2−5x+6x2−3x−4​

Problem 31025

What is the simplest form of the radical expression 50x6y5\sqrt{50 x^{6} y^{5}}50x6y5​ ? Assume xxx and yyy are positive. 5x2y10x2y25 x^{2} y \sqrt{10 x^{2} y^{2}}5x2y10x2y2​ 5x3y22y5 x^{3} y^{2} \sqrt{2 y}5x3y22y​ 25x3y22x3y325 x^{3} y^{2} \sqrt{2 x^{3} y^{3}}25x3y22x3y3​

Problem 31026

Evaluate the expression using order of operations: 4⋅[−6+5−5÷(−5)]24 \cdot[-6+5-5 \div(-5)]^{2}4⋅[−6+5−5÷(−5)]2.

Problem 31027

Show the commutative property of multiplication: complete q⋅c=q \cdot c = q⋅c= with c⋅qc \cdot qc⋅q.

Problem 31028

Identify the property shown: 7(y+2)=7y+147(y+2)=7y+147(y+2)=7y+14. Options: A. associative, B. distributive, C. commutative, D. associative.

Problem 31029

Solve for bbb in the equation b−5=11\frac{b}{-5}=11−5b​=11.

Problem 31030

Complete the equation using the distributive property: 2(x+y+7)=2(x+y+7)=2(x+y+7)=

Problem 31031

Identify the property shown: p⋅(r⋅q)=(p⋅r)⋅qp \cdot(r \cdot q)=(p \cdot r) \cdot qp⋅(r⋅q)=(p⋅r)⋅q. Choose A, B, C, or D.

Problem 31032

Complete the equation to show the distributive property: 2(x+y+7)=2(x+y+7)=2(x+y+7)=

Problem 31033

A car bought for \$38,000 is worth \$2,600 after 6 years. What was its value at the end of year 3?

Problem 31034

Solve for nnn in the equation 18n+12=27n+318 n + 12 = 27 n + 318n+12=27n+3.

Problem 31035

Identify the property shown: 2c⋅1=2c2c \cdot 1 = 2c2c⋅1=2c. Choose from: commutative, distributive, identity, inverse, or associative property.

Problem 31036

Find the xxx-intercept and yyy-intercept of the line 2x+4y=−82x + 4y = -82x+4y=−8 and use them to graph the line.

Problem 31037

Find (f∘g)(x)(f \circ g)(x)(f∘g)(x), (g∘f)(x)(g \circ f)(x)(g∘f)(x), and (f∘g)(3)(f \circ g)(3)(f∘g)(3) for f(x)=2x+1f(x)=2x+1f(x)=2x+1 and g(x)=x+34+xg(x)=\frac{x+3}{4+x}g(x)=4+xx+3​.

Problem 31038

Graph the line with slope 2/52/52/5 and yyy-intercept -5.

Problem 31039

Determine the slope and yyy-intercept of the line given by the equation −6x−y=−1-6x - y = -1−6x−y=−1.

Problem 31040

Find the yyy-intercept and slope of the line −6x−y=−1-6x - y = -1−6x−y=−1. Provide answers in simplest form.

Problem 31041

Simplify the expression using order of operations: −1−[6−(−1⋅7−5)]÷(−2)-1-[6-(-1 \cdot 7-5)] \div(-2)−1−[6−(−1⋅7−5)]÷(−2).

Problem 31042

Graph the line with slope 25\frac{2}{5}52​ and yyy-intercept -5.

Problem 31043

Simplify the expression: (6p3−p+6p4)+(8p−5p4+2p3)(6 p^{3}-p+6 p^{4})+(8 p-5 p^{4}+2 p^{3})(6p3−p+6p4)+(8p−5p4+2p3).

Problem 31044

Find the standard matrix of the linear transformation TTT that reflects points first through x2=−x1x_{2}=-x_{1}x2​=−x1​ and then the x2x_{2}x2​-axis. A=A=A= (Enter values for each matrix element.)

Problem 31045

Simplify to a single power of 6: $\left(6^{2}\right)^{3}$

At Sunrise Mountain Resort, skiers and snowboarders use a chairlift to get to the top of a hill. The graph shows the relationship between the number of full chairs, $c$ , that arrive at the top of the hill and the total number of people transported, $p$ .

Determine the number of solutions of the system. $\begin{array}{l} y=-4 x+5 \\ y=-2 x+5 \end{array}$ The systom has no solution. The systom has one solution. The system has infinitely many solutions.

You invest $\$ 300$ in an account at $7.5 \%$ per year simple interest. How much will you have in the account at the beginning of the 11th year? Round your answer to the nearest whole dollar. A. $\$ 575$ B. $\$ 525$ C. $\$ 601$ D. $\$ 375$ SUBMIT

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There are three integers. The sums of each distinct pair of integers are $-16,-9$ , and -1 . What is the greatest integer?
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What is the stope of the line that passes through $(-3,2)$ and $(-3,4)$ ? (A) $=\frac{13}{4}$ (B) 0 (C) $-\frac{4}{13}$ (D) Undefined

$f(x)=5 x+1 \quad g(x)=2 x+6$
1. Find $f(g(x))$

27) Solve the quadratic by Graphing on Desmos: $-2 x^{2}+12 x=17$ \begin{tabular}{|l|l|} \hline A. $x=2.50$ and 3.59 & C. $x=2.293$ and 3.707 \\ \hline B. $x=-1.183$ and 7.183 & D. No Real Solutions \\ \hline \end{tabular}

Graph the line. $y=\frac{3}{2} x-1$

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 55:23
Margo spends a quarter of her paycheck on a new dress, $\frac{1}{8}$ of her paycheck on shoes, and $\$ 24$ on a birthday present. If she spent $\$ 60$ altogether, how much was Margo's paycheck? $\$ 96$ \$160 \$216 \$504

Solve the equation by subtracting the appropriate number from both sides and enter the value of $x$ below. $\begin{array}{l} x+27=91 \\ x= \end{array}$ $\qquad$
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(11) $y=1\left(x^{2}+5 x+3\right)$

(2) Find the points of discontinuity of the function $\frac{x^{2}-3 x-4}{x^{3}-2 x^{2}-5 x+6}$

What is the simplest form of the radical expression $\sqrt{50 x^{6} y^{5}}$ ? Assume $x$ and $y$ are positive. $5 x^{2} y \sqrt{10 x^{2} y^{2}}$ $5 x^{3} y^{2} \sqrt{2 y}$ $25 x^{3} y^{2} \sqrt{2 x^{3} y^{3}}$

Evaluate the expression using order of operations: $4 \cdot[-6+5-5 \div(-5)]^{2}$ .

Show the commutative property of multiplication: complete $q \cdot c =$ with $c \cdot q$ .

Identify the property shown: $7(y+2)=7y+14$ . Options: A. associative, B. distributive, C. commutative, D. associative.

Solve for $b$ in the equation $\frac{b}{-5}=11$ .

Complete the equation using the distributive property: $2(x+y+7)=$

Identify the property shown: $p \cdot(r \cdot q)=(p \cdot r) \cdot q$ . Choose A, B, C, or D.

Complete the equation to show the distributive property: $2(x+y+7)=$

Solve for $n$ in the equation $18 n + 12 = 27 n + 3$ .

Identify the property shown: $2c \cdot 1 = 2c$ . Choose from: commutative, distributive, identity, inverse, or associative property.

Find the $x$ -intercept and $y$ -intercept of the line $2x + 4y = -8$ and use them to graph the line.

Find $(f \circ g)(x)$ , $(g \circ f)(x)$ , and $(f \circ g)(3)$ for $f(x)=2x+1$ and $g(x)=\frac{x+3}{4+x}$ .

Graph the line with slope $2/5$ and $y$ -intercept -5.

Determine the slope and $y$ -intercept of the line given by the equation $-6x - y = -1$ .

Find the $y$ -intercept and slope of the line $-6x - y = -1$ . Provide answers in simplest form.

Simplify the expression using order of operations: $-1-[6-(-1 \cdot 7-5)] \div(-2)$ .

Graph the line with slope $\frac{2}{5}$ and $y$ -intercept -5.

Simplify the expression: $(6 p^{3}-p+6 p^{4})+(8 p-5 p^{4}+2 p^{3})$ .

Find the standard matrix of the linear transformation $T$ that reflects points first through $x_{2}=-x_{1}$ and then the $x_{2}$ -axis. $A=$ (Enter values for each matrix element.)

Simplify the expression $\frac{4}{4^{-1}}$ using exponent properties and show only positive exponents.

Simplify the expression: $(6 x^{3}-6 x^{4}+5 x)-(4 x+2 x^{3}+7 x^{2})$ .

Find the line equation in slope-intercept form with $y$ -intercept -7 and slope $-\frac{1}{3}$ .

Find a matrix for the linear transformation $T(x_{1}, x_{2}, x_{3})=\left(x_{1}-8 x_{2}+5 x_{3}, x_{2}-7 x_{3}\right)$ . $A=$

Solve for $x$ in the equation $4(x-b)=x$ .

Find the equation of the line with a $y$ -intercept of -7 and a slope of $-\frac{1}{3}$ .

Simplify $3^{5} \cdot 3^{-7}$ using exponent properties, showing only positive exponents.

Simplify the expression: $(r^{3}+3 r^{2}-1)+(8 r^{3}+7+2 r^{2})$ .

Graph the line with a $y$ -intercept of -7 and a slope of $-\frac{1}{3}$ .

Identify the property shown in: $5(z+4)=5z+20$ . Options: A. distributive, B. associative addition, C. associative multiplication, D. commutative multiplication.

Simplify the expression: $(6 x^{4}+2 x^{3}-7)-(2-x^{4}+8 x^{3})$ .

Identify the property shown by $3 z \cdot \frac{1}{3 z}=1$ . Choose from: A. inverse multiplication B. identity multiplication C. identity addition D. inverse addition.

Simplify $x^{-3}$ using exponent rules, expanding numerical parts and using only positive exponents.

Simplify the expression: $(2 a^{4}+a^{3}+4)-(5-8 a^{3}+a^{4})$ .

Find the equation of the line given that it passes through (6, 0). Use $y=3x+b$ to find $b$ .

How many rows and columns must matrix $A$ have to map $\mathbb{R}^{8}$ to $\mathbb{R}^{9}$ using $T(x)=A x$ ? A. 9 rows, 9 columns B. 9 rows, 8 columns C. 8 rows, 8 columns D. 8 rows, 9 columns

Simplify $\frac{x^{-1}}{x^{8}}$ using exponent properties and show only positive exponents.

Complete the equation using the distributive property: $7(x+y+3)=$ $7(x+y+3)=7x+7y+21$

Find the equation of the line through $(-6,5)$ that is parallel to $-2x + 3y = 4$ .

Simplify $4^{0} \cdot 4^{2}$ using exponent rules and show only positive exponents.

Find the standard form equation of the line through points $(0,6)$ and $(4,0)$ .

Identify the property shown: $q \cdot(p-r)=(q \cdot p) \cdot r$ . Choose: A. addition, B. multiplication commutative, C. multiplication associative, D. distributive.

Simplify the expression $\frac{-6 x^{5} y^{-2}}{2 x^{3} y^{5}}$ using exponent properties, ensuring positive exponents.

Rewrite the equation in standard form: $y + 1 = \frac{2}{3}(x + 3)$

Graph the line with a $y$ -intercept of -3 and a slope of $\frac{1}{4}$ .

Find where the piecewise function $f(x)$ is not continuous:
$f(x)=\left\{\begin{array}{cc} \sin x & x<0 \\ x & 0 \leq x \leq 1 \\ -x+2 & 1<x<2 \\ x-3 & x \geq 2 \end{array}\right.$