Algebra

Problem 30801

8. Write the equation of the line in point slope form that contains $P(3,-6)$ and is parallel to $y=-4 x+$ A) $y-3=\frac{1}{4}(x+6)$ E) $y+6=-4(x-3)$ D) $y-6=-4(x-3)$
9. Write the equation of the line that contains $\mathrm{P}(-1,6)$ and is perpendicular to $y=\frac{1}{2} x+2$ ? A) $y=\frac{1}{2} x+\frac{13}{2}$ B) $y=2 x+8$ D) $y=-\frac{1}{2} x+\frac{11}{2}$ E) none of these
Unit 2-Foundations of Geometry
10. Vertical angles are never A) congruent B) right angles C) adjacent D) supplementary E) complementary
11. Are $O, N$ , and $P$ collinear? If so, name the line on which they lie. A) Yes, they lie on the line $N P$ B) No, the three points are not collinear C) Yes, the lie on the line $M O$ D) Yes, they lie on the line MP $\square$

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Problem 30802

Question 4 The Remaining 85 mins
A group of friends wants to go to the amusement park. They have no more than $\$ 125$ to spend on parking and admission. Parking is $\$ 16.75$ , and tickets cost $\$ 20.25$ per person, including tax. Which inequality can be used to determine $x$ , the maximum number of people who can go to the amusement park?
Answer $16.75+20.25 x \geq 125$ $20.25(x+16.75) \geq 125$ Subnil Alshar $20.25(x+16.75) \leq 125$ $16.75+20.25 x \leq 125$

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Problem 30803

Pretest: Unit 5
Question 17 of 26 What is the degree of the polynomial given below? $F(x)=2 x^{3}-x^{2}+5 x-3$ A. 4 B. 5 C. 3 D. 2

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Problem 30804

Problem A Continue the two sequences of numbers below and find an equation to calculate the $n$ -th value: \begin{tabular}{c|c|c|c|c|c|c|c|c} $\mathbf{n}$ & $\mathbf{1}$ & $\mathbf{2}$ & $\mathbf{3}$ & $\mathbf{4}$ & $\mathbf{5}$ & $\mathbf{6}$ & $\mathbf{7}$ & Equation \\ \hline $a_{n}$ & 2 & 5 & 10 & 17 & 26 & 37 & & \\ \hline $b_{n}$ & 1 & 2 & 8 & 48 & 384 & 3840 & & \end{tabular}

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Problem 30805

A new car is worth $\$ 25,000$ . However, it loses $12 \%$ of its value each year due to depreciation. Write an explicit formula describing the value of the car, $a_{n}$ , after $n$ years.

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Problem 30806

Rewrite the radical expression $\sqrt[3]{x^{5}}$ as an expression with rational exponents. A. $x^{\frac{2}{5}}$ B. $x^{\frac{5}{2}}$ C. $x^{\frac{3}{5}}$ D. $x^{\frac{5}{3}}$

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Problem 30807

Adam thinks of a number. $\frac{6}{11}$ of his number is 42 . What is $\frac{1}{11}$ of his number?

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Problem 30808

Grade 7 Math Unit 3 Assessment 24-25 Question 2 Pause Zoom Question Normal
The number of gallons of water in a tank, $y$ , over a period of $x$ hours is shown in the graph below.
What is the constant of proportionality in this situation? A. 5 gallons per hour

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Problem 30809

For each table, determine whether it shows a direct variation. If it does, write its direct variation equation. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 4 & 1 \\ \hline 12 & 3 \\ \hline 20 & 5 \\ \hline \end{tabular} Not direct variation \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & 1 \\ \hline 5 & 2.5 \\ \hline 9 & 4.5 \\ \hline \end{tabular} Not direct variation = Direct variation Direct variation Equation:
Equation: $\square$

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Problem 30810

Find the inverse of the function. $h(x)=4 x+2$

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Problem 30811

Simplify the next radical expression: $4 \sqrt{75}$

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Problem 30812

Which of these equations are true? I. $\sqrt{18}= \pm 3 \sqrt{2}$ II. $\sqrt{18}=3 \sqrt{2}$ 1) neither I nor II 36 2) II only 3) I and II 4) I only

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Problem 30813

What is the value of the expression below when $z=7$ and $w=4$ ? $6 z-6 w$

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Problem 30814

What is the value of $x$ in $\sqrt{x-11}=4$ ? 1) 5 2) 7 3) 27 4) 15

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Problem 30815

You have the following observations. Stock HJK will pay dividends $\$ 4$ per share next year. The S\&P 500 index return averages $10 \%$ a year and the rate on Treasury bill is at 6\%. You have downloaded data from Bloomberg and estimated the beta of Stock HJK at 1.25. A. What is the required rate of return? B. What is the price of the stock if the amount of dividends stays at $\$ 4$ per share forever?

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Problem 30816

Express $7 \sqrt{20}$ as an entire radical.

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Problem 30817

What is the value of the expression below when $w=9$ and $x=5$ ? $10 w+4 x$

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Problem 30818

A small rectangular glass tile has a length of $6 \sqrt{2} \mathrm{~cm}$ and a width of $\sqrt{38} \mathrm{~cm}$ . Determine the area of the tile.

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Problem 30819

$y+7=-2(x-1)$
Click to select points on the graph.

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Problem 30820

13. Simplify $(5+2 i)(1+3 i)$ . A. $-1+17 i$ B. -1 C. $5+6 i$ D. $11+17 i$

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Problem 30821

Please express the following inequalities using interval notation symbols [] ( ): 2)
Interval Notation:

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Problem 30822

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is $2 x^{2}+1$ inches. She plans to make a similar pillow, including the ribbon, whose side length is $4 x-7$ inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if $x=3.5$ ? $2 x^{2}+4 x-6 ; 22.0$ inches $2 x^{2}+4 x-6 ; 32.5$ inches $4\left(2 x^{2}+4 x-6 ;\right) 88.0$ inches $4\left(2 x^{2}+4 x-6 ;\right) 130.0$ inches

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Problem 30823

Question Given $g(x)=-2 x-1$ , find $g(-1)$ .

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Problem 30824

Question Put the following equation of a line into slope-intercept form, simplifying all fractions. $20 x-8 y=40$

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Problem 30825

Write $5^{-3}$ as a fraction in its simplest form, without any indices.

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Problem 30826

Work out the value of $w$ in this equality: $9^{3} \times 9^{2} \times 9^{w}=9^{42}$

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Problem 30827

What is the value of $c$ in the equality below? $\frac{6}{6 \times 6 \times 6 \times 6 \times 6}=6^{c}$

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Problem 30828

$3(x+2)$
Graph the following and determine what are the roots if any 27) $y=-2(x-3)^{2}+3$

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Problem 30829

Divide $\frac{f(x)}{g(x)}$ using long division. $\begin{array}{l} f(x)=12 x^{3}-7 x^{2}-19 x-1 \\ g(x)=4 x-1 \\ \frac{f(x)}{g(x)}=\square \end{array}$

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Problem 30830

Use the Distributive Property to rewrite the expression $(2 x-2)(x-6)$ . $\begin{array}{l} 2 x^{2}+10 x-10 \\ x^{2}-8 x+12 \\ 2 x^{2}-14 x+12 \\ 3 x^{2}-10 x-8 \end{array}$

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Problem 30831

12. Here are two sequencen: 1 EXAM
Sequence B a. For sequence $A$ , describe a way to produce each new term from the previous term. take Lle previas term and limes it by 10 b. For sequence B, describe a way to produce each new term from the previous term. c. Write a definition for the $n$ th term of sequence $A$ d. Write a definition for the nth term of sequence B e. If these sequences continue, then which is greater, $A(6)$ or $B(6)$ ? Explain or show how you know.

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Problem 30832

$\left(6 x^{2}+7 x+7\right)\left(3 x^{2}+5 x-1\right)$
Simplify your answer.

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Problem 30833

10. Solve the equation $4(2 x-9)=3 x+4$ a. -32 b. $-32 / 5$ c. $40 / 3$ d. 8

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Problem 30834

Managed Favorites PCPS Desktop Home TBC: Read Watch Le... reference_media.pdf Restore pages Microsoft Edge closed while you open.
The table shows the scores of two teams at the end of the first half of a trivia challenge. \begin{tabular}{|c|c|} \hline Team & Points Scored \\ \hline Bobcats & $2 x-7$ \\ \hline Huskies & $5 x-3$ \\ \hline \end{tabular}
How many more points did the Huskies score than the Bobcats? $\qquad$ point(s) $\qquad$ () Need help with this question?

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Problem 30835

Equation 2 $\begin{array}{l} 2 \quad 8 x+20 y=-03 \\ 0=-91 \end{array}$ c $16 x=-91$
41c This system of equations is: Dependent - there are an Independent - there is only Inconsistent - there are no infinite number of solutions one solution solutions Submit step $\curvearrowright$ View next step

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Problem 30836

(MP) Model with Mathematics A box of pasta weighs 13.6 ounces. A recipe calls for 95.2 ounces of pasta. Write and solve an equation to find the number of boxes of pasta needed to make the recipe.

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Problem 30837

What is the simplified form of $\frac{y^{2}+7 y+12}{y^{2}-2 y-15} ?$ $\frac{y-4}{y-5}$ $\frac{y-4}{y+5}$ $\frac{y+4}{y-5}$ $\frac{y+4}{y+5}$

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Problem 30838

wo points are shown. $(-8,13)$ and $(-6,3)$ Which of the following correctly shows how to find the slope of the line that passes through the points given? $m=\frac{13-3}{-8-(-6)}=\frac{10}{-2}=-5$ $m=\frac{-6-(-8)}{13-3}=\frac{2}{10}=\frac{1}{5}$ $m=\frac{13-3}{-6-(-8)}=\frac{10}{2}=5$ $m=\frac{-8-(-6)}{13-3}=\frac{-2}{10}=-\frac{1}{5}$

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Problem 30839

34c State the slope of Equation 1: $y=4 x-4$ Slope $=$ $\square$ Enter your next step here + ( ) ग $a^{b}$ $\frac{a}{b}$ Submit step View next step

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Problem 30840

6.) Josie determines that she can only afford a car payment of $\$ 250$ per month. The car she wants to purchase has a 4.22\% APR for 60 months and a down payment of $\$ 500$ . The dealership calculates a monthly payment of $\$ 350$ What are some things that will lower Josie's monthly payment? Increase her dain pagment and find a laver mitrest rate frama tre car longer

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Problem 30841

18. Perform the operations of complex numbers and simplify: $(1-4 i)(5-2 i)-(2-i)$

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Problem 30842

$5 \quad 5 x-7=2(x+1)$ $63(x-2)=9(x+2)$ $73 x-4=2 x+8-5 x$ $83(8-4 x)=34-11 x$

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Problem 30843

$\frac{4-3 i}{-5-3 i}$

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Problem 30844

167. A $0,0200 \mathrm{M}$ solution of methylamine, $\mathrm{CH}_{3} \mathrm{NH}_{2}$ , has a $\mathrm{pH}=11.40$ . Calculate the $\mathrm{K}_{\mathrm{b}}$ for methylamine. $\begin{array}{l} \mathrm{CH}_{3} \mathrm{NH}_{2}+\mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \frac{\mathrm{CH}_{3} \mathrm{NH}_{3}^{+}}{\mathrm{O}}+\frac{\mathrm{OH}^{-}}{\mathrm{O}} \\ 0.0200 \mathrm{M} \end{array}$

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Problem 30845

1) $\begin{array}{l} -x+y=-1 \\ x+3 y=-11 \end{array}$ 2) $\begin{array}{l} x+3 y=3 \\ 3 x-2 y=-2 \end{array}$ 3) $\begin{array}{l} -x-2 y=-5 \\ 2 x-3 y=-18 \end{array}$ 4) $\begin{array}{l} y=6 x-11 \\ -2 x-3 y=-7 \end{array}$ 5) $\begin{array}{l} x=3 y+1 \\ 2 x+4 y=12 \end{array}$

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Problem 30846

\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 14 & 4 \\ \hline 15 & 5 \\ \hline 17 & 7 \\ \hline 18 & 8 \\ \hline \end{tabular} $y=$

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Problem 30847

阵, Complete the table for the function $y=3^{x}$ . \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline \end{tabular}
Now, graph the function.

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Problem 30848

7.) $a x=b y=c z=\frac{3}{5} \quad a b+b c+c a=75 a b c \quad x+y+z=$ ?

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Problem 30849

Solve the inequality and graph the solution. $2 \geq \frac{p}{2}-1$
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it. Submit

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Problem 30850

Question 8 (1 point) Which of the following functions has exactly one vertical asymptote when graphed? A) $f(x)=\frac{6}{x^{2}-3 x}$ B) $f(x)=\frac{6 x}{x^{2}-3 x}$ C) $f(x)=\frac{6 x^{2}-18 x}{x}$ D) B and C

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Problem 30851

A ball dropped from 256 feet bounces up $\frac{1}{4}$ of its fall height. What height on the third bounce?

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Problem 30852

Solve the system using Gaussian elimination: $\begin{array}{rr} x+2y+4z= & 14 \\ -x+3y+4z= & 8 \\ x+y-5z= & -20 \end{array}$ Find the solution as an ordered triple.

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Problem 30853

Rewrite the expression $\frac{x}{x+4}$ to have the denominator $5x + 20$ . Choose the correct option.

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Problem 30854

Simplify the expression: $\frac{6 c}{w}+\frac{2 w}{7}$ . Choose the correct option.

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Problem 30855

The Smithsons traveled $\frac{1}{3}$ of the distance to Dallas, covering 126 miles. What is the total distance?

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Problem 30856

Graph the pairs for flour ( $f$ ) and sugar ( $s$ ) using $f = 3, 6, 9, 12$ . The ratio is $3f = 2s$ .

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Problem 30857

Graph the solution set and write it in interval notation for: $2 \leq 3b - 3 < 6$ .

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Problem 30858

Mr. Sheridan drives 196 miles using 7 gallons.
a) Graph $g$ (gasoline) vs. $m$ (mileage). b) What does the slope indicate about car efficiency?

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Problem 30859

Simplify the expression: $\frac{3}{x^{2}}-\frac{4}{x}$ . Choose the correct answer from the options provided.

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Problem 30860

Solve the system using Gaussian elimination and backward substitution:
$\begin{array}{rr} x+2y+4z= & 11 \\ -x+3y+3z= & -2 \\ x+y-5z= & -6 \end{array}$
Is the solution unique, infinite, or nonexistent?

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Problem 30861

Graph the solution set and express it in interval notation for the inequality: $2 \leq 3b - 3 < 6$ .

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Problem 30862

Solve for $y$ in the equation $w=\frac{x-y}{2}-z$ . What is $y$ ? A. $y=x-(2 w+z)$ B. $y=2(w+z)-x$ C. $y=2 w+z-x$ D. $y=x \quad 2(w, \quad z)$

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Problem 30863

Solve the equation: $-4(3+x)+\frac{3}{4}=-4(x+3)$ .

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Problem 30864

Simplify the complex fraction: $\frac{\left(\frac{x+1}{8}\right)}{\left(\frac{x+6}{x}\right)}$ . Choose A, B, C, or D.

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Problem 30865

Graph the pairs for sugar needed with 3 cups flour for every 2 cups sugar using $3, 6, 9, 12$ cups of flour.

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Problem 30866

Solve the system: -25x - 33y - z = 28 -40x - 55y - 2z = 52 30x + 33y + z = -8 Choose A (one solution), B (infinitely many), or C (no solution).

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Problem 30867

Find where the expression $\frac{z-3}{2}$ is undefined. Choose one: A. $z=-3$ B. $z=0$ C. $z=3$ D. none

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Problem 30868

Which equation correctly isolates $x$ from $-f x - g = h$ ? A. $x=\frac{h+g}{f}$ B. $x=\frac{9-h}{-j}$ C. $x=\frac{h+g}{-f}$ D. $x=\frac{h y}{-y^{2}}$

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Problem 30869

Simplify the expression $\frac{4x^{2}+4x}{x+1}$ .

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Problem 30870

Identify the rational expression from the options: a. $x^y$ , b. $xy$ , c. $\frac{x}{y}$ , d. $x+y$ .

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Problem 30871

Solve the inequality $4(3x+2)<5(3x-2)$ for $x$ and test $x=1, 5, 10$ to form a hypothesis.

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Problem 30872

Estimate household size $\mathrm{H}$ using $\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}$ from given data. Find $\mathrm{a}$ , $\mathrm{b}$ , $\mathrm{c}$ .

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Problem 30873

Is the function $f(x)=\frac{1}{2}(5x-1)$ linear?

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Problem 30874

Maria reads 40 pages in 2 hours. Find the equation for pages read vs. time, and explain each part of the equation.

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Problem 30875

Simplify the expression $\frac{x^{2}-1}{x} \div(x+1)$ and choose the correct option: a. $x+1$ , b. $\frac{(x-1)}{x}$ , c. $\frac{(x+1)}{x}$ , d. $\frac{1}{x+1}$ .

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Problem 30876

Find the value of $\frac{2 x-2}{3-3 x}$ for $x \neq 1$ . Choose from: a. -1 b. $\frac{2}{3}$ c. $-\frac{2}{3}$ d. $-\frac{2}{3 x}$ .

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Problem 30877

Find the value of $f(x)$ for the function $f(x)=\frac{1}{2}(5 x-1)$ .

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Problem 30878

Simplify: $\frac{x-3}{3-x}$ for $x \neq 3$ . Choose the correct answer: a. -1, b. $x^{2}+3$ , c. 1, d. -3.

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Problem 30879

A. Compare the downstream speed of a barge traveling 120 miles in 8 hours to its upstream speed of 100 miles in 10 hours.

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Problem 30880

Find the composition of the functions $f(x)=x^{2}$ and $g(x)=x-3$ : compute $f(g(x))$ .

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Problem 30881

What is the final temperature of a 50.0 g glass piece after absorbing 5275 J of heat, starting at 20.0°C with a specific heat of 0.50 J/g°C?

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Problem 30882

Find the specific heat of a $4.11 \mathrm{~g}$ silicon sample that rises by $3.8^{\circ} \mathrm{C}$ with $11.1 \mathrm{~J}$ added.

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Problem 30883

Graph the inequality for elevator speeds outside the range of 116 to 124 feet per minute: $s < 116$ or $s > 124$ .

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Problem 30884

Graph the inequality for the elevator's speed outside the range of 116 to 124 feet per minute: $x < 116$ or $x > 124$ .

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Problem 30885

Find the composition of the functions $f(x)=x^{2}$ and $g(x)=x-3$ : calculate $g(f(x))$ .

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Problem 30886

Elsa, Chau, and Manuel served 105 orders total. Elsa served 5 more than Chau, and Manuel served 3 times Chau. Find their orders.

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Problem 30887

Find the length $l$ of a rectangle with area $25 \mathrm{in}^{2}$ for widths $w = 10$ in and $w = 15$ in. Rearrange $A = lw$ .

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Problem 30888

A rectangle has area $A = 25 \mathrm{in}^2$ . If $w = 10$ in, find $l$ . If $w = 15$ in, find $l$ . Rearrange $A = lw$ for $l$ .

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Problem 30889

Find $a, b, c, d$ for $f(x)$ to be continuous, where:
$f(x) = \begin{cases} \frac{x^2+x-2}{x-1} & \text{if } x<1 \\ a & \text{if } x=1 \\ b(x-c)^2 & \text{if } 1<x<4 \\ d & \text{if } x=4 \\ 2x-8 & \text{if } x>4 \end{cases}$

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Problem 30890

Graph the solution to the inequality $-2 < 2x + 6 < 20$ on a number line.

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Problem 30891

解不等式 $2x - 6 > -16$ 和 $3x - 10 \leq 8$ 。

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Problem 30892

Zoe and Yolanda's money ratio is $3:7$ . Yolanda has \ $64 more than Zoe. After Yolanda gives$ \frac{1}{4}$ of her money to Zoe, find the new ratio.

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Problem 30893

How much will the temperature of a 15.4 g silver sample increase if 40.5 J of heat is added? (Specific heat: 0.235 J/g°C)

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Problem 30894

Find the value of $f(7)$ for the function $f(x)=2 x^{2}-6$ .

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Problem 30895

Write a slope-intercept equation for a geoduck's growth from 4 cm at age 10 to 18 cm at age 100.

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Problem 30896

Graph the solution to the inequality: $5x - 17 > 8$ or $-4x - 2 \leq 6$ .

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Problem 30897

Cindy paid \$241.80 in extra charges at \$20.15 per pound. How many pounds did her luggage exceed the limit?

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Problem 30898

Graph the elevations where the service elevator doesn't stop: solve the inequality $4 < \frac{x}{15} < 16$ for $x$ .

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Problem 30899

Factor the polynomial $x^{3}+3 x^{2}-4 x-12$ .

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Problem 30900

Calculate how many thorium atoms (240 pm radius) are needed to span $1.40 \mathrm{~mm}$ .

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1 ...306 307 308 309 310 311 312

Algebra

Problem 30801

Problem 30802

Problem 30803

Pretest: Unit 5Question 17 of 26 What is the degree of the polynomial given below? F(x)=2x3−x2+5x−3F(x)=2 x^{3}-x^{2}+5 x-3F(x)=2x3−x2+5x−3 A. 4 B. 5 C. 3 D. 2

Problem 30804

Problem 30805

A new car is worth $25,000\$ 25,000$25,000. However, it loses 12%12 \%12% of its value each year due to depreciation. Write an explicit formula describing the value of the car, ana_{n}an​, after nnn years.

Problem 30806

Rewrite the radical expression x53\sqrt[3]{x^{5}}3x5​ as an expression with rational exponents. A. x25x^{\frac{2}{5}}x52​ B. x52x^{\frac{5}{2}}x25​ C. x35x^{\frac{3}{5}}x53​ D. x53x^{\frac{5}{3}}x35​

Problem 30807

Adam thinks of a number. 611\frac{6}{11}116​ of his number is 42 . What is 111\frac{1}{11}111​ of his number?

Problem 30808

Grade 7 Math Unit 3 Assessment 24-25 Question 2 Pause Zoom Question NormalThe number of gallons of water in a tank, yyy, over a period of xxx hours is shown in the graph below.What is the constant of proportionality in this situation? A. 5 gallons per hour

Problem 30809

Problem 30810

Find the inverse of the function. h(x)=4x+2h(x)=4 x+2h(x)=4x+2

Problem 30811

Simplify the next radical expression: 4754 \sqrt{75}475​

Problem 30812

Which of these equations are true? I. 18=±32\sqrt{18}= \pm 3 \sqrt{2}18​=±32​ II. 18=32\sqrt{18}=3 \sqrt{2}18​=32​ 1) neither I nor II 36 2) II only 3) I and II 4) I only

Problem 30813

What is the value of the expression below when z=7z=7z=7 and w=4w=4w=4 ? 6z−6w6 z-6 w6z−6w

Problem 30814

What is the value of xxx in x−11=4\sqrt{x-11}=4x−11​=4 ? 1) 5 2) 7 3) 27 4) 15

Problem 30815

Problem 30816

Express 7207 \sqrt{20}720​ as an entire radical.

Problem 30817

What is the value of the expression below when w=9w=9w=9 and x=5x=5x=5 ? 10w+4x10 w+4 x10w+4x

Problem 30818

A small rectangular glass tile has a length of 62 cm6 \sqrt{2} \mathrm{~cm}62​ cm and a width of 38 cm\sqrt{38} \mathrm{~cm}38​ cm. Determine the area of the tile.

Problem 30819

y+7=−2(x−1)y+7=-2(x-1)y+7=−2(x−1)Click to select points on the graph.

Problem 30820

13. Simplify (5+2i)(1+3i)(5+2 i)(1+3 i)(5+2i)(1+3i). A. −1+17i-1+17 i−1+17i B. -1 C. 5+6i5+6 i5+6i D. 11+17i11+17 i11+17i

Problem 30821

Please express the following inequalities using interval notation symbols [] ( ): 2)Interval Notation:

Problem 30822

Problem 30823

Question Given g(x)=−2x−1g(x)=-2 x-1g(x)=−2x−1, find g(−1)g(-1)g(−1).

Problem 30824

Question Put the following equation of a line into slope-intercept form, simplifying all fractions. 20x−8y=4020 x-8 y=4020x−8y=40

Problem 30825

Write 5−35^{-3}5−3 as a fraction in its simplest form, without any indices.

Problem 30826

Work out the value of www in this equality: 93×92×9w=9429^{3} \times 9^{2} \times 9^{w}=9^{42}93×92×9w=942

Problem 30827

What is the value of ccc in the equality below? 66×6×6×6×6=6c\frac{6}{6 \times 6 \times 6 \times 6 \times 6}=6^{c}6×6×6×6×66​=6c

Problem 30828

3(x+2)3(x+2)3(x+2)Graph the following and determine what are the roots if any 27) y=−2(x−3)2+3y=-2(x-3)^{2}+3y=−2(x−3)2+3

Problem 30829

Divide f(x)g(x)\frac{f(x)}{g(x)}g(x)f(x)​ using long division. f(x)=12x3−7x2−19x−1g(x)=4x−1f(x)g(x)=□\begin{array}{l} f(x)=12 x^{3}-7 x^{2}-19 x-1 \\ g(x)=4 x-1 \\ \frac{f(x)}{g(x)}=\square \end{array}f(x)=12x3−7x2−19x−1g(x)=4x−1g(x)f(x)​=□​

Problem 30830

Use the Distributive Property to rewrite the expression (2x−2)(x−6)(2 x-2)(x-6)(2x−2)(x−6). 2x2+10x−10x2−8x+122x2−14x+123x2−10x−8\begin{array}{l} 2 x^{2}+10 x-10 \\ x^{2}-8 x+12 \\ 2 x^{2}-14 x+12 \\ 3 x^{2}-10 x-8 \end{array}2x2+10x−10x2−8x+122x2−14x+123x2−10x−8​

Problem 30831

Problem 30832

(6x2+7x+7)(3x2+5x−1)\left(6 x^{2}+7 x+7\right)\left(3 x^{2}+5 x-1\right)(6x2+7x+7)(3x2+5x−1)Simplify your answer.

Problem 30833

10. Solve the equation 4(2x−9)=3x+44(2 x-9)=3 x+44(2x−9)=3x+4 a. -32 b. −32/5-32 / 5−32/5 c. 40/340 / 340/3 d. 8

Problem 30834

Problem 30835

Problem 30836

(MP) Model with Mathematics A box of pasta weighs 13.6 ounces. A recipe calls for 95.2 ounces of pasta. Write and solve an equation to find the number of boxes of pasta needed to make the recipe.

Problem 30837

What is the simplified form of y2+7y+12y2−2y−15?\frac{y^{2}+7 y+12}{y^{2}-2 y-15} ?y2−2y−15y2+7y+12​? y−4y−5\frac{y-4}{y-5}y−5y−4​ y−4y+5\frac{y-4}{y+5}y+5y−4​ y+4y−5\frac{y+4}{y-5}y−5y+4​ y+4y+5\frac{y+4}{y+5}y+5y+4​

Problem 30838

Problem 30839

34c State the slope of Equation 1: y=4x−4y=4 x-4y=4x−4 Slope === □\square□ Enter your next step here + ( ) ग aba^{b}ab ab\frac{a}{b}ba​ Submit step View next step

Problem 30840

Problem 30841

18. Perform the operations of complex numbers and simplify: (1−4i)(5−2i)−(2−i)(1-4 i)(5-2 i)-(2-i)(1−4i)(5−2i)−(2−i)

Problem 30842

55x−7=2(x+1)5 \quad 5 x-7=2(x+1)55x−7=2(x+1) 63(x−2)=9(x+2)63(x-2)=9(x+2)63(x−2)=9(x+2) 73x−4=2x+8−5x73 x-4=2 x+8-5 x73x−4=2x+8−5x 83(8−4x)=34−11x83(8-4 x)=34-11 x83(8−4x)=34−11x

Problem 30843

4−3i−5−3i\frac{4-3 i}{-5-3 i}−5−3i4−3i​

Problem 30844

Problem 30845

Problem 30846

\begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline 14 & 4 \\ \hline 15 & 5 \\ \hline 17 & 7 \\ \hline 18 & 8 \\ \hline \end{tabular} y=y=y=

Pretest: Unit 5
Question 17 of 26 What is the degree of the polynomial given below? $F(x)=2 x^{3}-x^{2}+5 x-3$ A. 4 B. 5 C. 3 D. 2

A new car is worth $\$ 25,000$ . However, it loses $12 \%$ of its value each year due to depreciation. Write an explicit formula describing the value of the car, $a_{n}$ , after $n$ years.

Rewrite the radical expression $\sqrt[3]{x^{5}}$ as an expression with rational exponents. A. $x^{\frac{2}{5}}$ B. $x^{\frac{5}{2}}$ C. $x^{\frac{3}{5}}$ D. $x^{\frac{5}{3}}$

Adam thinks of a number. $\frac{6}{11}$ of his number is 42 . What is $\frac{1}{11}$ of his number?

Grade 7 Math Unit 3 Assessment 24-25 Question 2 Pause Zoom Question Normal
The number of gallons of water in a tank, $y$ , over a period of $x$ hours is shown in the graph below.
What is the constant of proportionality in this situation? A. 5 gallons per hour

Find the inverse of the function. $h(x)=4 x+2$

Simplify the next radical expression: $4 \sqrt{75}$

Which of these equations are true? I. $\sqrt{18}= \pm 3 \sqrt{2}$ II. $\sqrt{18}=3 \sqrt{2}$ 1) neither I nor II 36 2) II only 3) I and II 4) I only

What is the value of the expression below when $z=7$ and $w=4$ ? $6 z-6 w$

What is the value of $x$ in $\sqrt{x-11}=4$ ? 1) 5 2) 7 3) 27 4) 15

Express $7 \sqrt{20}$ as an entire radical.

What is the value of the expression below when $w=9$ and $x=5$ ? $10 w+4 x$

A small rectangular glass tile has a length of $6 \sqrt{2} \mathrm{~cm}$ and a width of $\sqrt{38} \mathrm{~cm}$ . Determine the area of the tile.

$y+7=-2(x-1)$
Click to select points on the graph.

13. Simplify $(5+2 i)(1+3 i)$ . A. $-1+17 i$ B. -1 C. $5+6 i$ D. $11+17 i$

Please express the following inequalities using interval notation symbols [] ( ): 2)
Interval Notation:

Question Given $g(x)=-2 x-1$ , find $g(-1)$ .

Question Put the following equation of a line into slope-intercept form, simplifying all fractions. $20 x-8 y=40$

Write $5^{-3}$ as a fraction in its simplest form, without any indices.

Work out the value of $w$ in this equality: $9^{3} \times 9^{2} \times 9^{w}=9^{42}$

What is the value of $c$ in the equality below? $\frac{6}{6 \times 6 \times 6 \times 6 \times 6}=6^{c}$

$3(x+2)$
Graph the following and determine what are the roots if any 27) $y=-2(x-3)^{2}+3$

Divide $\frac{f(x)}{g(x)}$ using long division. $\begin{array}{l} f(x)=12 x^{3}-7 x^{2}-19 x-1 \\ g(x)=4 x-1 \\ \frac{f(x)}{g(x)}=\square \end{array}$

Use the Distributive Property to rewrite the expression $(2 x-2)(x-6)$ . $\begin{array}{l} 2 x^{2}+10 x-10 \\ x^{2}-8 x+12 \\ 2 x^{2}-14 x+12 \\ 3 x^{2}-10 x-8 \end{array}$

$\left(6 x^{2}+7 x+7\right)\left(3 x^{2}+5 x-1\right)$
Simplify your answer.

10. Solve the equation $4(2 x-9)=3 x+4$ a. -32 b. $-32 / 5$ c. $40 / 3$ d. 8

What is the simplified form of $\frac{y^{2}+7 y+12}{y^{2}-2 y-15} ?$ $\frac{y-4}{y-5}$ $\frac{y-4}{y+5}$ $\frac{y+4}{y-5}$ $\frac{y+4}{y+5}$

34c State the slope of Equation 1: $y=4 x-4$ Slope $=$ $\square$ Enter your next step here + ( ) ग $a^{b}$ $\frac{a}{b}$ Submit step View next step

18. Perform the operations of complex numbers and simplify: $(1-4 i)(5-2 i)-(2-i)$

$5 \quad 5 x-7=2(x+1)$ $63(x-2)=9(x+2)$ $73 x-4=2 x+8-5 x$ $83(8-4 x)=34-11 x$

$\frac{4-3 i}{-5-3 i}$

\begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 14 & 4 \\ \hline 15 & 5 \\ \hline 17 & 7 \\ \hline 18 & 8 \\ \hline \end{tabular} $y=$

阵, Complete the table for the function $y=3^{x}$ . \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline \end{tabular}
Now, graph the function.

7.) $a x=b y=c z=\frac{3}{5} \quad a b+b c+c a=75 a b c \quad x+y+z=$ ?

Solve the inequality and graph the solution. $2 \geq \frac{p}{2}-1$
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it. Submit

Question 8 (1 point) Which of the following functions has exactly one vertical asymptote when graphed? A) $f(x)=\frac{6}{x^{2}-3 x}$ B) $f(x)=\frac{6 x}{x^{2}-3 x}$ C) $f(x)=\frac{6 x^{2}-18 x}{x}$ D) B and C

A ball dropped from 256 feet bounces up $\frac{1}{4}$ of its fall height. What height on the third bounce?

Solve the system using Gaussian elimination: $\begin{array}{rr} x+2y+4z= & 14 \\ -x+3y+4z= & 8 \\ x+y-5z= & -20 \end{array}$ Find the solution as an ordered triple.

Rewrite the expression $\frac{x}{x+4}$ to have the denominator $5x + 20$ . Choose the correct option.

Simplify the expression: $\frac{6 c}{w}+\frac{2 w}{7}$ . Choose the correct option.

The Smithsons traveled $\frac{1}{3}$ of the distance to Dallas, covering 126 miles. What is the total distance?

Graph the pairs for flour ( $f$ ) and sugar ( $s$ ) using $f = 3, 6, 9, 12$ . The ratio is $3f = 2s$ .

Graph the solution set and write it in interval notation for: $2 \leq 3b - 3 < 6$ .

Mr. Sheridan drives 196 miles using 7 gallons.
a) Graph $g$ (gasoline) vs. $m$ (mileage). b) What does the slope indicate about car efficiency?

Simplify the expression: $\frac{3}{x^{2}}-\frac{4}{x}$ . Choose the correct answer from the options provided.

Solve the system using Gaussian elimination and backward substitution:
$\begin{array}{rr} x+2y+4z= & 11 \\ -x+3y+3z= & -2 \\ x+y-5z= & -6 \end{array}$
Is the solution unique, infinite, or nonexistent?

Graph the solution set and express it in interval notation for the inequality: $2 \leq 3b - 3 < 6$ .

Solve for $y$ in the equation $w=\frac{x-y}{2}-z$ . What is $y$ ? A. $y=x-(2 w+z)$ B. $y=2(w+z)-x$ C. $y=2 w+z-x$ D. $y=x \quad 2(w, \quad z)$

Solve the equation: $-4(3+x)+\frac{3}{4}=-4(x+3)$ .

Simplify the complex fraction: $\frac{\left(\frac{x+1}{8}\right)}{\left(\frac{x+6}{x}\right)}$ . Choose A, B, C, or D.

Graph the pairs for sugar needed with 3 cups flour for every 2 cups sugar using $3, 6, 9, 12$ cups of flour.

Find where the expression $\frac{z-3}{2}$ is undefined. Choose one: A. $z=-3$ B. $z=0$ C. $z=3$ D. none

Which equation correctly isolates $x$ from $-f x - g = h$ ? A. $x=\frac{h+g}{f}$ B. $x=\frac{9-h}{-j}$ C. $x=\frac{h+g}{-f}$ D. $x=\frac{h y}{-y^{2}}$

Simplify the expression $\frac{4x^{2}+4x}{x+1}$ .

Identify the rational expression from the options: a. $x^y$ , b. $xy$ , c. $\frac{x}{y}$ , d. $x+y$ .

Solve the inequality $4(3x+2)<5(3x-2)$ for $x$ and test $x=1, 5, 10$ to form a hypothesis.

Estimate household size $\mathrm{H}$ using $\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}$ from given data. Find $\mathrm{a}$ , $\mathrm{b}$ , $\mathrm{c}$ .

Is the function $f(x)=\frac{1}{2}(5x-1)$ linear?