Algebra

Problem 27601

The cost of 2 notebooks and pencils is \$ 7.00; 3 notebooks and 2 pencils is \$ 11.00. Find 1 notebook and 1 pencil's cost.

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Problem 27602

Find an expression for $y$ in terms of $x$ from the equation $2 x + 3 y = 7$ . Options are given.

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Problem 27603

What is the sum of the complex numbers $\sqrt{-9}$ and $\sqrt{-16}$ ? Choose from: A. $7 i$ , B. $5 i$ , C. 7, D. 5, E. -5.

See Solution

Problem 27604

In a 145-member choir with 37 more altos than sopranos, find the ratio of altos to sopranos.

See Solution

Problem 27605

Solve the inequality: $(x-2)(x-5)(x-6) \leq 0$ . Provide your answer in interval notation.

See Solution

Problem 27606

Factor the expression $x^{2}-y^{2}$ .

See Solution

Problem 27607

A gas tank is $\frac{3}{8}$ full. After adding 6 gallons, it's $\frac{3}{4}$ full. Cost to fill it $\frac{3}{4}$ full?

See Solution

Problem 27608

Solve the inequality: $(x-3)(x-4)(x-7) \leq 0$ . Provide the solution in interval notation.

See Solution

Problem 27609

In March, the website had 45125 views, which is $5\%$ less than February's views. Find January's views.

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Problem 27610

Solve for $g$ and $h$ in the equation $g(y h+b)=e+q$ . Find $g=$ and $h=$ .

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Problem 27611

An investment doubles every 7 years. If it's worth \$24,000 after 21 years, what is its worth after 8 years? Choices: F, G, H, J, K.

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Problem 27612

Find $g(f(5 x))$ for $f(x)=2 x-1$ and $g(x)=3 x^{2}-7$ . Choose from: A, B, C, D.

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Problem 27613

Which function has a removable discontinuity at $x=-2$ and a non-removable one at $x=-1$ ? A) $f(x)=\frac{x+1}{x^{2}+3 x+2}$ B) $f(x)=\frac{x-1}{x^{2}+3 x+2}$ C) $f(x)=\frac{x+2}{x^{2}+3 x+2}$ D) $f(x)=\frac{x-2}{x^{2}+3 x+2}$

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Problem 27614

Find the values of $x$ for which $-|-x| < 0$ is true.

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Problem 27615

Find $g(f(5 x))$ for $f(x)=2 x-1$ and $g(x)=3 x^{2}-7$ . Choices: A. $150 x^{2}-15$ B. $300 x^{2}-60 x-4$ C. $60 x^{3}-60 x^{2}-20 x$ D. $750 x^{3}-75 x^{2}-70 x+7$ E. $30 x^{4}-15 x^{3}-70 x^{2}+35 x$

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Problem 27616

Solve for $y$ : $\frac{x}{2} + \frac{y}{7} = 1$ . What is $y$ ?

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Problem 27617

Solve the equation $n(j k+w)=z+a$ for $n$ and $k$ . Find $n=$ and $k=$ .

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Problem 27618

A bookcase has 4 shelves. The width is $3h - 8$ . Find width and height if lumber used is $24$ feet.

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Problem 27619

A bank loaned \$33,000 at 15% and 14% interest, earning \$4,805 total. Find the amount loaned at each rate.

See Solution

Problem 27620

Two cyclists start 120 miles apart, one twice as fast. They meet in 4 hours. Find the faster cyclist's speed in $\mathrm{mi} / \mathrm{h}$ .

See Solution

Problem 27621

Find $x$ in the equation $\log _{3} 54 - \log _{3} 2 = \log _{2} x$ . Options: F. 3, G. 8, H. 9, J. 52, K. 108.

See Solution

Problem 27622

Find the maximum value of $|x-y|$ given $-2 \leq x \leq 4$ and $-1 \leq y \leq 5$ . Options: A. 9 B. 7 C. 6 D. 5 E. 4

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Problem 27623

Solve the inequality $x^{3}-x^{2}-90 x>0$ and express the solution in interval notation.

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Problem 27624

Find the positive value of $k$ so that $9x^{2}+kx+25$ factors as $(ax+b)^{2}$ . Choices: 30, 16, 15, 8, 2.

See Solution

Problem 27625

Solve for $y$ in the equation $y+9=\frac{1}{8}(x+8)$ .

See Solution

Problem 27626

Solve the inequality $\frac{x+7}{x-2}<0$ and express the solution in interval notation.

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Problem 27627

Rewrite the equation $y + 9 = \frac{1}{8}(x + 8)$ in slope-intercept form. Use integers and fractions.

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Problem 27628

Solve the inequality: $\frac{x+2}{x-7}>0$ . Provide the answer in interval notation.

See Solution

Problem 27629

Rewrite the equation $y + 5 = -3(x + 7)$ in slope-intercept form. Use simplest integers and fractions.

See Solution

Problem 27630

Solve the inequality $\frac{x+2}{x-7}>0$ and express the solution in interval notation.

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Problem 27631

Rewrite the equation in slope-intercept form: $y - 1 = \frac{1}{5}(x + 10)$ . Use simplest integers and fractions.

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Problem 27632

Solve for $y$ in the equation $y+2=\frac{1}{8}(x-8)$ using integers and fractions in simplest form.

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Problem 27633

Rewrite the equation $y-3=(x-6)$ in slope-intercept form. Use integers and fractions in your answer.

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Problem 27634

Compare two phone plans: Family Plan ( $81 + 46P$ ) and Mobile Share Plan ( $129 + 34P$ ). Find when costs are equal and which is better for 5 devices.

See Solution

Problem 27635

Solve the inequality $\frac{(x-6)(x+6)}{x} \leq 0$ and list intervals with their signs in interval notation.

See Solution

Problem 27636

Solve the inequality: $\frac{(x-6)(x+6)}{x} \leq 0$ . List intervals and signs for each interval in ascending order.

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Problem 27637

Solve the inequality: $\frac{(x-2)(x+2)}{x} \leq 0$ . List intervals and signs in each interval in ascending order.

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Problem 27638

Compare two phone plans: Family Plan (\$81 + \$46P) vs. Mobile Share Plan (\$129 + \$34P). Find when costs equal and best for 5 devices.

See Solution

Problem 27639

Solve the inequality: $\frac{(x-7)(x+9)}{x} \leq 0$ . Provide your answer in interval notation.

See Solution

Problem 27640

Evaluate $f(x)=-x^{2}-5$ for $f(2)$ and $f(-1)$ . Find $f(2)=\square$ and $f(-1)=\square$ .

See Solution

Problem 27641

Solve the inequality: $\frac{(x-6)^{2}}{x^{2}-16} \geq 0$ . List intervals and signs in each interval using interval notation.

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Problem 27642

Given the function $f(x) = 0.4x^2 - 36x + 1000$ for drivers aged 16-74:
1. Calculate and simplify $f(50)$ .
2. Explain $f(50)$ as accidents per 50 million miles for 50-year-olds.
3. Describe $f(50)$ as a point on the graph of $f(x)$ .

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Problem 27643

A vehicle goes 25 mph and speeds up by 3 mph each second. Is it legal after 7 seconds?

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Problem 27644

Find the minimum value of $9x - 11$ given that $x \geq \frac{19}{3}$ .

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Problem 27645

Graph the linear function with slope and y-intercept: $y=-\frac{5}{3} x+1$ . Use a graphing tool to plot it.

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Problem 27646

What is the new water level in mL after adding 7.25 g of silver to 11.8 mL of water? Use the density of silver: $10.5 \mathrm{~g} / \mathrm{cm}^{3}$ .

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Problem 27647

Given three positive numbers $x, y, z$ with $x y > z x$ and $y < x$ , determine if $x^{2}$ is greater than, less than, or equal to $z y$ .

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Problem 27648

Graph the function with slope and y-intercept: $y=4x+6$ . Use a graphing tool to plot the equation.

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Problem 27649

Solve the inequality: $-6 > -\frac{2}{3} y$ . Then, graph the solution.

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Problem 27650

Diego's cab fare is \$21.00 with a \$2.25 pickup fee and \$1.25 per mile. How far did he travel?

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Problem 27651

Write the inequality for $n - 3 \geq -5$ and solve for $n$ .

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Problem 27652

Find a linear function $p(x)$ for the percentage of budget spent on food, starting at $25\%$ in 1950, decreasing $0.30\%$ per year.

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Problem 27653

Find a linear function $p(x)$ for the percentage spent on groceries, starting at $25\%$ in 1950 and decreasing by $0.30\%$ per year.

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Problem 27654

Graph the system: $x - 4y = 4$ and $4x + 4y = 16$ . Find the solution set or state if none exists.

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Problem 27655

Graph the system of equations: $x - 4y = 4$ and $4x + 4y = 16$ . Use a graphing tool to find the solution.

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Problem 27656

Graph the system: $x - 4y = 4$ and $4x + 4y = 16$ . Identify the solution set: A. ordered pair, B. equation, C. $\varnothing$ .

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Problem 27657

Evaluate the expressions with $a=4$ and $b=2$ :
1. $2a + 3b =$
2. $a^2 - b + 10 =$
3. $(ab)^2 - (a + b)^2 =$

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Problem 27658

Solve the equations using substitution: $x - 2y = 1$ and $4x - 9y = 2$ . Choose A, B, or C for the solution set.

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Problem 27659

Solve the system using the addition method:
1. $x + 3y = 1$
2. $-5x + 2y = 29$
Choose A, B, or C for the solution set.

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Problem 27660

Solve the system: 3x + 2y = 1 and 9x + 6y = 3. Choose A, B, or C for the solution type.

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Problem 27661

A baker made 100 more loaves on Wednesday than Tuesday and 50 fewer on Thursday. Total loaves = 230. Find Wednesday's loaves.

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Problem 27662

An entrepreneur's costs include \$28,750 plus \$1,900 per performance. Revenue from each sold-out show is \$2,525.
a. Cost function: $C(x)=$ b. Revenue function: $R(x)=$ c. Find the break-even point and explain its meaning.

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Problem 27663

Let $x$ be sold-out performances.
a. Cost function: $C(x)=28750+1900x$ . b. Revenue function: $R(x)=2525x$ . c. Find break-even point and explain its meaning. Choose A, B, or C to describe it.

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Problem 27664

Find cost $C(x)=28750+1900x$ , revenue $R(x)=2525x$ , and the break-even point. Explain its meaning.

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Problem 27665

A hiking trail is 24 miles long. The first rest area is at a distance with a 2:9 ratio to the end. Find its distance from the start.

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Problem 27666

American White Pelicans migrate 1680 miles. If the ratio of summer home to stopover is $3:4$ , find the distance to the stopover in mi.

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Problem 27667

A handyman company wants to place an office between Jonesville and Bellevue, 60 miles apart. With weights of 3 for Jonesville and 5 for Bellevue, how far from Bellevue should the office be? $d = \frac{5}{3+5} \times 60$ miles.

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Problem 27668

Evaluate $E(22)$ for the function $E(x)=\sqrt{4x+33}$ . What is $E(22)$ ?

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Problem 27669

Calculate $E(82)^{E(22)-8}$ where $E(x)=\sqrt{4x+33}$ .

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Problem 27670

Graph the function $f(x)=\left\{\begin{array}{ccc}\frac{1}{2} x & \text { if } & x \leq 0 \\ 3 & \text { if } & x>0\end{array}\right.$ and find its range.

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Problem 27671

Evaluate $E(82)$ where $E(82)=\sqrt{4(82)+33}$ .

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Problem 27672

Evaluate $F(5)$ , $F(-7)$ , and find $F(5) \cdot F(-7)$ where $F(x) = |x^3|$ .

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Problem 27673

Transform System A into System B using the correct multipliers for each equation. Fill in the blanks.

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Problem 27674

Solve the equation for real numbers: $\frac{10}{v+4}-\frac{9}{v-2}=-\frac{50}{v^{2}+2 v-8}$ . Enter integer or reduced fraction.

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Problem 27675

Leila buys a dinosaur model for $x$ dollars plus $7\%$ tax. Which expressions show her total cost? Choose 2: A $\frac{107}{100} x$ B $0.7 x+x$ C $1.07 x$ D $x+\frac{7}{10} x$ E $1.7 x$

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Problem 27676

Last Sunday’s average temperature was $8\%$ higher than two Sundays ago, which was $T$ degrees. Find two expressions for last Sunday’s temp.

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Problem 27677

Compare costs of two phone plans: Family Plan: \$98 + \$39P; Mobile Share Plan: \$122 + \$35P. Find when costs equal.

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Problem 27678

Compare costs of two phone plans: Family Plan: \$98 + \$39P (up to 5 lines) vs. Mobile Share Plan: \$122 + \$35P (up to 10 lines). Find P for equal costs and recommend for 5 devices.

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Problem 27679

Graph the piecewise function $f(x) = \begin{cases} 0 & \text{if } x < -4 \\ -x & \text{if } -4 \leq x < 0 \\ x^2 & \text{if } x \geq 0 \end{cases}$ and find its range.

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Problem 27680

Ann used 80 g of cheese after a $60\%$ increase. How much cheese was originally needed in the recipe?

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Problem 27681

Calculate $5 \times \frac{\sqrt[3]{x}}{7}$ .

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Problem 27682

What was the original price of headphones if they are now \$36 after a 40% discount?

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Problem 27683

Compare wireless plans: Family Plan: \$98 + \$39P; Mobile Share Plan: \$122 + \$35P. Find P for equal cost and best for 5 devices.

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Problem 27684

Your first quarter grade is 77, second quarter is 82. What final score $f$ gives an overall grade of 83? (Weights: $40\%$ each quarter, $20\%$ final.)

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Problem 27685

Solve the equation $8x - 28 - 2x = -10$ .

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Problem 27686

Solve the equation: $12 + 2x + 1 = 59$ .

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Problem 27687

Solve the equation: $2 + 2x + 1 = 59$ .

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Problem 27688

Solve the equation $4+\frac{1}{4} x+3=10$ .

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Problem 27689

Graph the equation $y=\frac{3}{4} x+3$ in a rectangular coordinate system.

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Problem 27690

Laura spent $\$ 20 - \$ 9.20$ on ribbon at 24 cents per yard. How many yards did she buy?

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Problem 27691

Evaluate $G(-1)$ , $G(2)$ , and compute $[G(-1)]^{3}-[G(2)]^{2}+4 \cdot G(-1)=20$ .

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Problem 27692

Frank paid an \$8 fee plus 6 cents per minute for a total of \$13.04. How many minutes did he ride the scooter?

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Problem 27693

Find the range of the function $f(x) = \begin{cases} 0 & \text{if } x \leq -4 \\ -x & \text{if } -4 < x < 0 \\ x^2 & \text{if } x \geq 0 \end{cases}$ .

See Solution

Problem 27694

Ivan rented a truck with a base fee of \$15.95 and \$0.82 per mile. He paid \$199.63. How many miles did he drive?

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Problem 27695

Karen got a \$80 gift card. After buying coffee at \$7.94 per pound, she had \$32.36 left. How many pounds did she buy?

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Problem 27696

Two trains leave at the same time: one at 60 mph east and the other at 80 mph west. How long until they are 252 miles apart?

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Problem 27697

Two cars, 380 km apart, meet in 2 hours. One travels 12 km/h slower. Find the slower car's speed.

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Problem 27698

Two trains leave at the same time, one at 65 mph and the other at 75 mph. How long until they're 224 miles apart?

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Problem 27699

Check if each value of $w$ satisfies the inequality $19 \leq 3w - 8$ .

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Problem 27700

Find the value of $\frac{{[G(-1)]^{3} - [G(2)]^{2} + 4 \cdot G(-1)}}{10}$ given $G(-1) = 20$ and $G(2) = -10$ .

See Solution

1 ...274 275 276 277 278 279 280 ...313

Algebra

Problem 27601

The cost of 2 notebooks and pencils is \$ 7.00; 3 notebooks and 2 pencils is \$ 11.00. Find 1 notebook and 1 pencil's cost.

Problem 27602

Find an expression for yyy in terms of xxx from the equation 2x+3y=72 x + 3 y = 72x+3y=7. Options are given.

Problem 27603

What is the sum of the complex numbers −9\sqrt{-9}−9​ and −16\sqrt{-16}−16​? Choose from: A. 7i7 i7i, B. 5i5 i5i, C. 7, D. 5, E. -5.

Problem 27604

In a 145-member choir with 37 more altos than sopranos, find the ratio of altos to sopranos.

Problem 27605

Solve the inequality: (x−2)(x−5)(x−6)≤0(x-2)(x-5)(x-6) \leq 0(x−2)(x−5)(x−6)≤0. Provide your answer in interval notation.

Problem 27606

Factor the expression x2−y2x^{2}-y^{2}x2−y2.

Problem 27607

A gas tank is 38\frac{3}{8}83​ full. After adding 6 gallons, it's 34\frac{3}{4}43​ full. Cost to fill it 34\frac{3}{4}43​ full?

Problem 27608

Solve the inequality: (x−3)(x−4)(x−7)≤0(x-3)(x-4)(x-7) \leq 0(x−3)(x−4)(x−7)≤0. Provide the solution in interval notation.

Problem 27609

In March, the website had 45125 views, which is 5%5\%5% less than February's views. Find January's views.

Problem 27610

Solve for ggg and hhh in the equation g(yh+b)=e+qg(y h+b)=e+qg(yh+b)=e+q. Find g=g=g= and h=h=h=.

Problem 27611

An investment doubles every 7 years. If it's worth \$24,000 after 21 years, what is its worth after 8 years? Choices: F, G, H, J, K.

Problem 27612

Find g(f(5x))g(f(5 x))g(f(5x)) for f(x)=2x−1f(x)=2 x-1f(x)=2x−1 and g(x)=3x2−7g(x)=3 x^{2}-7g(x)=3x2−7. Choose from: A, B, C, D.

Problem 27613

Problem 27614

Find the values of xxx for which −∣−x∣<0-|-x| < 0−∣−x∣<0 is true.

Problem 27615

Problem 27616

Solve for yyy: x2+y7=1\frac{x}{2} + \frac{y}{7} = 12x​+7y​=1. What is yyy?

Problem 27617

Solve the equation n(jk+w)=z+an(j k+w)=z+an(jk+w)=z+a for nnn and kkk. Find n=n=n= and k=k=k=.

Problem 27618

A bookcase has 4 shelves. The width is 3h−83h - 83h−8. Find width and height if lumber used is 242424 feet.

Problem 27619

A bank loaned \$33,000 at 15% and 14% interest, earning \$4,805 total. Find the amount loaned at each rate.

Problem 27620

Two cyclists start 120 miles apart, one twice as fast. They meet in 4 hours. Find the faster cyclist's speed in mi/h\mathrm{mi} / \mathrm{h}mi/h.

Problem 27621

Find xxx in the equation log⁡354−log⁡32=log⁡2x\log _{3} 54 - \log _{3} 2 = \log _{2} xlog3​54−log3​2=log2​x. Options: F. 3, G. 8, H. 9, J. 52, K. 108.

Problem 27622

Find the maximum value of ∣x−y∣|x-y|∣x−y∣ given −2≤x≤4-2 \leq x \leq 4−2≤x≤4 and −1≤y≤5-1 \leq y \leq 5−1≤y≤5. Options: A. 9 B. 7 C. 6 D. 5 E. 4

Problem 27623

Solve the inequality x3−x2−90x>0x^{3}-x^{2}-90 x>0x3−x2−90x>0 and express the solution in interval notation.

Problem 27624

Find the positive value of kkk so that 9x2+kx+259x^{2}+kx+259x2+kx+25 factors as (ax+b)2(ax+b)^{2}(ax+b)2. Choices: 30, 16, 15, 8, 2.

Problem 27625

Solve for yyy in the equation y+9=18(x+8)y+9=\frac{1}{8}(x+8)y+9=81​(x+8).

Problem 27626

Solve the inequality x+7x−2<0\frac{x+7}{x-2}<0x−2x+7​<0 and express the solution in interval notation.

Problem 27627

Rewrite the equation y+9=18(x+8)y + 9 = \frac{1}{8}(x + 8)y+9=81​(x+8) in slope-intercept form. Use integers and fractions.

Problem 27628

Solve the inequality: x+2x−7>0\frac{x+2}{x-7}>0x−7x+2​>0. Provide the answer in interval notation.

Problem 27629

Rewrite the equation y+5=−3(x+7)y + 5 = -3(x + 7)y+5=−3(x+7) in slope-intercept form. Use simplest integers and fractions.

Problem 27630

Solve the inequality x+2x−7>0\frac{x+2}{x-7}>0x−7x+2​>0 and express the solution in interval notation.

Problem 27631

Rewrite the equation in slope-intercept form: y−1=15(x+10)y - 1 = \frac{1}{5}(x + 10)y−1=51​(x+10). Use simplest integers and fractions.

Problem 27632

Solve for yyy in the equation y+2=18(x−8)y+2=\frac{1}{8}(x-8)y+2=81​(x−8) using integers and fractions in simplest form.

Problem 27633

Rewrite the equation y−3=(x−6)y-3=(x-6)y−3=(x−6) in slope-intercept form. Use integers and fractions in your answer.

Problem 27634

Compare two phone plans: Family Plan (81+46P81 + 46P81+46P) and Mobile Share Plan (129+34P129 + 34P129+34P). Find when costs are equal and which is better for 5 devices.

Problem 27635

Solve the inequality (x−6)(x+6)x≤0\frac{(x-6)(x+6)}{x} \leq 0x(x−6)(x+6)​≤0 and list intervals with their signs in interval notation.

Problem 27636

Solve the inequality: (x−6)(x+6)x≤0\frac{(x-6)(x+6)}{x} \leq 0x(x−6)(x+6)​≤0. List intervals and signs for each interval in ascending order.

Problem 27637

Solve the inequality: (x−2)(x+2)x≤0\frac{(x-2)(x+2)}{x} \leq 0x(x−2)(x+2)​≤0. List intervals and signs in each interval in ascending order.

Problem 27638

Compare two phone plans: Family Plan (\$81 + \$46P) vs. Mobile Share Plan (\$129 + \$34P). Find when costs equal and best for 5 devices.

Problem 27639

Solve the inequality: (x−7)(x+9)x≤0\frac{(x-7)(x+9)}{x} \leq 0x(x−7)(x+9)​≤0. Provide your answer in interval notation.

Problem 27640

Evaluate f(x)=−x2−5f(x)=-x^{2}-5f(x)=−x2−5 for f(2)f(2)f(2) and f(−1)f(-1)f(−1). Find f(2)=□f(2)=\squaref(2)=□ and f(−1)=□f(-1)=\squaref(−1)=□.

Problem 27641

Find an expression for $y$ in terms of $x$ from the equation $2 x + 3 y = 7$ . Options are given.

What is the sum of the complex numbers $\sqrt{-9}$ and $\sqrt{-16}$ ? Choose from: A. $7 i$ , B. $5 i$ , C. 7, D. 5, E. -5.

Solve the inequality: $(x-2)(x-5)(x-6) \leq 0$ . Provide your answer in interval notation.

Factor the expression $x^{2}-y^{2}$ .

A gas tank is $\frac{3}{8}$ full. After adding 6 gallons, it's $\frac{3}{4}$ full. Cost to fill it $\frac{3}{4}$ full?

Solve the inequality: $(x-3)(x-4)(x-7) \leq 0$ . Provide the solution in interval notation.

In March, the website had 45125 views, which is $5\%$ less than February's views. Find January's views.

Solve for $g$ and $h$ in the equation $g(y h+b)=e+q$ . Find $g=$ and $h=$ .

Find $g(f(5 x))$ for $f(x)=2 x-1$ and $g(x)=3 x^{2}-7$ . Choose from: A, B, C, D.

Find the values of $x$ for which $-|-x| < 0$ is true.

Solve for $y$ : $\frac{x}{2} + \frac{y}{7} = 1$ . What is $y$ ?

Solve the equation $n(j k+w)=z+a$ for $n$ and $k$ . Find $n=$ and $k=$ .

A bookcase has 4 shelves. The width is $3h - 8$ . Find width and height if lumber used is $24$ feet.

Two cyclists start 120 miles apart, one twice as fast. They meet in 4 hours. Find the faster cyclist's speed in $\mathrm{mi} / \mathrm{h}$ .

Find $x$ in the equation $\log _{3} 54 - \log _{3} 2 = \log _{2} x$ . Options: F. 3, G. 8, H. 9, J. 52, K. 108.

Find the maximum value of $|x-y|$ given $-2 \leq x \leq 4$ and $-1 \leq y \leq 5$ . Options: A. 9 B. 7 C. 6 D. 5 E. 4

Solve the inequality $x^{3}-x^{2}-90 x>0$ and express the solution in interval notation.

Find the positive value of $k$ so that $9x^{2}+kx+25$ factors as $(ax+b)^{2}$ . Choices: 30, 16, 15, 8, 2.

Solve for $y$ in the equation $y+9=\frac{1}{8}(x+8)$ .

Solve the inequality $\frac{x+7}{x-2}<0$ and express the solution in interval notation.

Rewrite the equation $y + 9 = \frac{1}{8}(x + 8)$ in slope-intercept form. Use integers and fractions.

Solve the inequality: $\frac{x+2}{x-7}>0$ . Provide the answer in interval notation.

Rewrite the equation $y + 5 = -3(x + 7)$ in slope-intercept form. Use simplest integers and fractions.

Solve the inequality $\frac{x+2}{x-7}>0$ and express the solution in interval notation.

Rewrite the equation in slope-intercept form: $y - 1 = \frac{1}{5}(x + 10)$ . Use simplest integers and fractions.

Solve for $y$ in the equation $y+2=\frac{1}{8}(x-8)$ using integers and fractions in simplest form.

Rewrite the equation $y-3=(x-6)$ in slope-intercept form. Use integers and fractions in your answer.

Compare two phone plans: Family Plan ( $81 + 46P$ ) and Mobile Share Plan ( $129 + 34P$ ). Find when costs are equal and which is better for 5 devices.

Solve the inequality $\frac{(x-6)(x+6)}{x} \leq 0$ and list intervals with their signs in interval notation.

Solve the inequality: $\frac{(x-6)(x+6)}{x} \leq 0$ . List intervals and signs for each interval in ascending order.

Solve the inequality: $\frac{(x-2)(x+2)}{x} \leq 0$ . List intervals and signs in each interval in ascending order.

Solve the inequality: $\frac{(x-7)(x+9)}{x} \leq 0$ . Provide your answer in interval notation.

Evaluate $f(x)=-x^{2}-5$ for $f(2)$ and $f(-1)$ . Find $f(2)=\square$ and $f(-1)=\square$ .

Solve the inequality: $\frac{(x-6)^{2}}{x^{2}-16} \geq 0$ . List intervals and signs in each interval using interval notation.

Given the function $f(x) = 0.4x^2 - 36x + 1000$ for drivers aged 16-74:
1. Calculate and simplify $f(50)$ .
2. Explain $f(50)$ as accidents per 50 million miles for 50-year-olds.
3. Describe $f(50)$ as a point on the graph of $f(x)$ .

Find the minimum value of $9x - 11$ given that $x \geq \frac{19}{3}$ .

Graph the linear function with slope and y-intercept: $y=-\frac{5}{3} x+1$ . Use a graphing tool to plot it.

What is the new water level in mL after adding 7.25 g of silver to 11.8 mL of water? Use the density of silver: $10.5 \mathrm{~g} / \mathrm{cm}^{3}$ .

Given three positive numbers $x, y, z$ with $x y > z x$ and $y < x$ , determine if $x^{2}$ is greater than, less than, or equal to $z y$ .

Graph the function with slope and y-intercept: $y=4x+6$ . Use a graphing tool to plot the equation.

Solve the inequality: $-6 > -\frac{2}{3} y$ . Then, graph the solution.

Write the inequality for $n - 3 \geq -5$ and solve for $n$ .

Find a linear function $p(x)$ for the percentage of budget spent on food, starting at $25\%$ in 1950, decreasing $0.30\%$ per year.

Find a linear function $p(x)$ for the percentage spent on groceries, starting at $25\%$ in 1950 and decreasing by $0.30\%$ per year.

Graph the system: $x - 4y = 4$ and $4x + 4y = 16$ . Find the solution set or state if none exists.

Graph the system of equations: $x - 4y = 4$ and $4x + 4y = 16$ . Use a graphing tool to find the solution.

Graph the system: $x - 4y = 4$ and $4x + 4y = 16$ . Identify the solution set: A. ordered pair, B. equation, C. $\varnothing$ .

Evaluate the expressions with $a=4$ and $b=2$ :
1. $2a + 3b =$
2. $a^2 - b + 10 =$
3. $(ab)^2 - (a + b)^2 =$

Solve the equations using substitution: $x - 2y = 1$ and $4x - 9y = 2$ . Choose A, B, or C for the solution set.

Solve the system using the addition method:
1. $x + 3y = 1$
2. $-5x + 2y = 29$
Choose A, B, or C for the solution set.

An entrepreneur's costs include \$28,750 plus \$1,900 per performance. Revenue from each sold-out show is \$2,525.
a. Cost function: $C(x)=$ b. Revenue function: $R(x)=$ c. Find the break-even point and explain its meaning.

Let $x$ be sold-out performances.
a. Cost function: $C(x)=28750+1900x$ . b. Revenue function: $R(x)=2525x$ . c. Find break-even point and explain its meaning. Choose A, B, or C to describe it.

Find cost $C(x)=28750+1900x$ , revenue $R(x)=2525x$ , and the break-even point. Explain its meaning.

American White Pelicans migrate 1680 miles. If the ratio of summer home to stopover is $3:4$ , find the distance to the stopover in mi.

A handyman company wants to place an office between Jonesville and Bellevue, 60 miles apart. With weights of 3 for Jonesville and 5 for Bellevue, how far from Bellevue should the office be? $d = \frac{5}{3+5} \times 60$ miles.

Evaluate $E(22)$ for the function $E(x)=\sqrt{4x+33}$ . What is $E(22)$ ?

Calculate $E(82)^{E(22)-8}$ where $E(x)=\sqrt{4x+33}$ .

Graph the function $f(x)=\left\{\begin{array}{ccc}\frac{1}{2} x & \text { if } & x \leq 0 \\ 3 & \text { if } & x>0\end{array}\right.$ and find its range.

Evaluate $E(82)$ where $E(82)=\sqrt{4(82)+33}$ .

Evaluate $F(5)$ , $F(-7)$ , and find $F(5) \cdot F(-7)$ where $F(x) = |x^3|$ .

Solve the equation for real numbers: $\frac{10}{v+4}-\frac{9}{v-2}=-\frac{50}{v^{2}+2 v-8}$ . Enter integer or reduced fraction.