Math Statement

Problem 24001

Solve for $u$ : $|2u| + 8 = 28$ . Provide your answer as an integer or fraction in simplest form.

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Problem 24002

Solve the equation $|\frac{t}{2}|=6$ .

See Solution

Problem 24003

Solve the equation $|f|-3=-50$ . How many solutions does it have: none, one, or two?

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Problem 24004

Find the integer or fraction solutions for $t$ in the equation $5=|t-5|$ .

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Problem 24005

Find the function $g$ if $f(x)=\frac{1}{x}$ and $\left(\frac{f}{g}\right)(x)=\frac{x+1}{x^{2}-x}$ .

See Solution

Problem 24006

Solve the equation $|m+3|=7$ .

See Solution

Problem 24007

Find the values of $q$ that satisfy the equation $|q-8|=14$ .

See Solution

Problem 24008

Solve the equation $|x-1|+5=2$ .

See Solution

Problem 24009

Determine the domain of the function $f(x)=\frac{x-8}{x+8}$ in interval notation.

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Problem 24010

Determine the domain of the function $F(x)=7 x^{5}-4 x^{4}+4$ in interval notation.

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Problem 24011

Calculate the limit $\frac{f(x+h)-f(x)}{h}$ for $h \neq 0$ where $f(x)=x^{2}+5x-1$ and $f(x)=\frac{1}{x+3}$ .

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Problem 24012

Convert $\frac{3}{4}$ to a percentage. What is the next step?

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Problem 24013

Simplify $f(x-3)$ for the function $f(x)=x^{2}-2$ . What is $f(x-3)=?$

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Problem 24014

Find and simplify $f(3x)$ for $f(x) = x^2 - 11$ . What is $f(3x) = \square$ ?

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Problem 24015

Simplify $f(3+h)-f(3)$ for $f(x)=x^{2}-12$ .

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Problem 24016

Round 16.446 to the nearest hundredth. The result is: $16.45$

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Problem 24017

Find and simplify for $f(x)=7x-2$ : (A) $f(x+h)$ , (B) $f(x+h)-f(x)$ , (C) $\frac{f(x+h)-f(x)}{h}$ .

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Problem 24018

Convert 50°C to Fahrenheit. $50^{\circ} \mathrm{C}=\square^{\circ} \mathrm{F}$ (Round as needed.)

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Problem 24019

Choose the correct symbol to make the expression true: $33\% \quad ? \quad 0.53$ .

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Problem 24020

Count the terms in the expression: $4(x) + 4(3)$ .

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Problem 24021

Solve the system: $x^{2}+2=y$ and $y=-3x^{2}+1$ .

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Problem 24022

Convert $\frac{37}{50}$ to a percentage. What is the next step?

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Problem 24023

Calculate $735 \cdot 389 + 265 \cdot 389$ .

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Problem 24024

What is the next term in the sequence: A1, B2, D4, G7, K11, P16?

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Problem 24025

Calculate: $768 \div 70 - 418 \div 70$

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Problem 24026

Find $f(x+h)$ , $f(x+h)-f(x)$ , and $\frac{f(x+h)-f(x)}{h}$ for $f(x)=3x^2-7x+6$ .

See Solution

Problem 24027

Find the meaning of $f(6)=113$ for the function $f(x)=-x^{3}+8 x^{2}+6 x+5$ .

See Solution

Problem 24028

Convert the fraction $\frac{9}{75}$ to its decimal form. $\frac{9}{75}=$

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Problem 24029

What does $f(6)=113$ mean for the function $f(x)=-x^{3}+8 x^{2}+6 x+5$ ?

See Solution

Problem 24030

If $\frac{x}{3y} = 3$ , find the value of $\frac{y}{x}$ .

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Problem 24031

Calculate $681 \cdot 93 - 582 \cdot 93$ .

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Problem 24032

Calculate $4[7(8+5)] \cdot 3$ .

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Problem 24033

Find the revenue function for the price-demand $p(x)=85-3x$ where $1 \leq x \leq 20$ . What is $R(x)$ ?

See Solution

Problem 24034

Convert the fraction $\frac{10}{3}$ to a mixed numeral.

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Problem 24035

If $\mathrm{P}(\mathrm{A})=0.95$ , what does this mean? Choose the best interpretation. 10 points. A, B, C, or D?

See Solution

Problem 24036

What does $\mathrm{P}(\mathrm{A})=0.32$ mean? Choose one: A. unlikely, B. less often, C. never, D. always.

See Solution

Problem 24037

Solve the equation $|4n - 15| = |n|$ .

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Problem 24038

Solve the inequality $\frac{3}{x-4}>0$ . What are the valid ranges for $x$ ?

See Solution

Problem 24039

Solve the inequality $\frac{x+2}{x-4}<0$ and find the valid intervals for $x$ .

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Problem 24040

Find the revenue function $R(x)=85x-3x^{2}$ and its domain from options A. $[1,20]$ , B. $[0,592]$ , C. $[0,85]$ , D. $[0,20]$ .

See Solution

Problem 24041

Find $f(x+h)$ , $f(x+h)-f(x)$ , and $\frac{f(x+h)-f(x)}{h}$ for $f(x)=3x-5$ . What is $f(x+h)$ ?

See Solution

Problem 24042

Find the profit function $P(x)$ using the revenue $R(x)=80x-3x^2$ and cost $C(x)=120+15x$ for $1 \leq x \leq 20$ .

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Problem 24043

Find the value of $E_{Q_{x}^{d}, P_{x}}$ given by $E_{Q_{x}^{d}, P_{x}}=\frac{\frac{120-100}{100} \cdot 100 \%}{\frac{188-376}{376} \cdot 100 \%}$ . Round to the nearest tenth.

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Problem 24044

Given revenue $R(x)=80x-3x^2$ and cost $C(x)=120+15x$ , find the profit function and its domain. A. $[1,20]$ B. $[0,80]$ C. $[0,228]$ D. $[0,20]$

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Problem 24045

Find the expected aptitude test score for a 16-year-old using the formula: Aptitude = 109.7 - 1.10 * Age. Round to the nearest whole number.

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Problem 24046

Solve the equation: $-3 x^{2}-2 x+1=x^{2}-2 x-3$ .

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Problem 24047

Solve the equation $P=R-C$ for $C$ .

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Problem 24048

Calculate: $(34 \cdot 5 - 7 \cdot 2 \cdot 5) \div 4 + 25 - (13 \cdot 4 \div 26 - 32)$

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Problem 24049

Calculate the expression: $134 - 5(20 + 12 \div 4 \cdot 3 - 3 \cdot 7) + (120 \div 2 - 12 \cdot 5)$ .

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Problem 24050

Solve for $x$ in the equation: $x=(8.4 \times 10^{3} M^{-2} \cdot s^{-1})(0.36 M)^{3}$ . Include units.

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Problem 24051

Find the limit of $f(x)$ as $x$ approaches 1, where $f(x)=\frac{(x-1)^{2}(x+1)}{|x-1|}$ for $x \neq 1$ and $f(1)=2$ .

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Problem 24052

Solve the equation $4 x^{2}-2 x+1=2 x^{2}-5 x+3$ .

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Problem 24053

Solve for $b_{2}$ in the trapezoid area formula: $A=\frac{1}{2} h(b_{1}+b_{2})$ .

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Problem 24054

Solve the inequality: $6x + 1 \geq 2x - 3(6x - 5)$ . Express the solution in interval notation.

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Problem 24055

Calculate $x$ using the formula $x=\left(8.4 \times 10^{3} M^{-2} \cdot \mathrm{s}^{-1}\right)(0.36 M)^{3}$ .

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Problem 24056

Find $\lim _{x \rightarrow \frac{\pi}{4}} g(x)$ for $g(x)=\frac{2 \cos ^{2} x-1}{\cos x-\sin x}$ .

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Problem 24057

Find $f(-3)$ for the piecewise function $f(x)=\begin{cases}8 x+1 & \text{if } x<3 \\ 3 x & \text{if } 3 \leq x \leq 5 \\ 3-3 x & \text{if } x>5\end{cases}$ .

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Problem 24058

Solve the inequality: $7(x+3) \leq 0$ .

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Problem 24059

Solve and graph the inequalities: $x+y > -8$ , $x-y < 3$ , $y < 3$ .

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Problem 24060

Solve |3k - 2| = 2|k + 2|.

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Problem 24061

Solve the system: 2x + 3y = 2 and 4x + 6y = 4.

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Problem 24062

Find $\lim _{x \rightarrow \frac{\pi}{4}} g(x)$ for $g(x)=\frac{2 \cos ^{2} x-1}{\cos x-\sin x}$ . Which option is equivalent?

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Problem 24063

Solve for $t$ in the equation: $\frac{2}{5} = \frac{2t}{3} + 3$ .

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Problem 24064

Find the significant figures in the number $1.498$ .

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Problem 24065

Given the weight prediction formula $\text{Weight} = -115 + 3.6 \text{(Height)}$ , which statements are true? A. I only B. II and III only C. I and II only D. III only E. II only. Select one.

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Problem 24066

Find $\lim_{x \rightarrow 1} f(x)$ if $g(x) \leq f(x) \leq h(x)$ where $g(x)=\sin \left(\frac{\pi}{2} x\right)+4$ and $h(x)=-\frac{1}{4} x^{3}+\frac{3}{4} x+\frac{9}{2}$ .

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Problem 24067

Find the domain and $(f+g)(x)$ for $f(x)=\sqrt{2 x}$ and $g(x)=3 x-2$ . Simplify your answer.

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Problem 24068

Find the significant figures in the number $248.0$ .

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Problem 24069

Calculate the average rate of change of $g(x)=-5 x^{3}+4$ between $x=-4$ and $x=4$ .

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Problem 24070

Evaluate the function $f(x)=\frac{3 x+8}{5 x-3}$ for: (a) $f(0)$ , (b) $f(1)$ , (c) $f(-1)$ , (d) $f(-x)$ , (e) $-f(x)$ , (f) $f(x+1)$ , (g) $f(7 x)$ , (h) $f(x+h)$ .

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Problem 24071

Find the significant figures in the number $9.055$ .

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Problem 24072

Given functions $f(x)=\sqrt{2x}$ and $g(x)=3x-2$ , find $(f+g)(x)$ and its domain.

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Problem 24073

Find the significant figures in 76000.

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Problem 24074

Solve the inequality: $2|x+4|+8 \geq 18$ .

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Problem 24075

Solve the inequality: $5|x-7|+8 \leq 43$ .

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Problem 24076

Solve the equation $|m+3|=7$ .

See Solution

Problem 24077

Solve the inequality $3|x+9|-5 \leq 10$ .

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Problem 24078

Solve the inequality $5|x+6|-2 \geq 28$ .

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Problem 24079

Solve the equation |3k - 2| = 2|k + 2|.

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Problem 24080

Rewrite $4 x + 7 y = 28$ in slope-intercept form, find the slope, $y$ -intercept, and graph the line.

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Problem 24081

Solve the inequality $2|x-7|-4<14$ .

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Problem 24082

Solve the inequality: $-|3 + 3x| - 7 > -16$ .

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Problem 24083

Solve the inequality: $-2|1+2x|-4>-18$ .

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Problem 24084

Determine the number of protons, electrons, and neutrons in ${ }^{35} \mathrm{Cl}^{-}$ .

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Problem 24085

Calculate $\frac{13}{16}-\frac{3}{8}$ . Choose from $5 / 8$ , $1 \frac{3}{16}$ , $7 / 16$ .

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Problem 24086

Find the value not in the range of $f(g(x))$ where $f(x)=5-2x$ and $g(x)=\frac{x^{2}}{4}$ .

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Problem 24087

Solve $|4n - 15| = |n|$ .

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Problem 24088

Calculate the product of $\frac{4}{11}$ and $\frac{10}{8}$ .

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Problem 24089

Calculate the result of $\frac{1}{3} \div \frac{3}{8}$ .

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Problem 24090

Rewrite the term $a^{\frac{2}{8}}$ as a radical without reducing it.

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Problem 24091

Calculate: $1 \sqrt{28} + 4 \sqrt{150} - 1 \sqrt{63} - 4 \sqrt{6}$ .

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Problem 24092

Calculate (a) $f(g(0))$ and (b) $g(f(0))$ for $f(x)=2x+9$ and $g(x)=6-x^2$ .

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Problem 24093

Express $h(x)=\frac{1}{x-5}$ as $f \circ g$ with $g(x)=(x-5)$ . Find $f(x)$ . Your answer is $f(x)=$

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Problem 24094

Find the domain of the composite function $f(g(x))$ where $f(x)=\sqrt{42-x}$ and $g(x)=x^{2}-x$ .

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Problem 24095

Find the derivative $d y / d x$ using implicit differentiation for the equation $8 \cos (9 x) \sin (7 y) = 9$ .

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Problem 24096

Multiply and simplify: $(4 \sqrt{5}+2)(\sqrt{35}+4)=$

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Problem 24097

Solve for $y$ in the equation $y + 45 = \frac{5}{2} x + 20$ . What is $y$ ?

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Problem 24098

Solve for $p$ using the square root property: $(p-5)^{2}=2$ . Enter your answers as a list separated by commas.

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Problem 24099

0.001 + 0.002 + 0.03 = ?

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Problem 24100

Calculate: $3(5-9)^{2}-2(3-5)^{3}=$

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1 ...238 239 240 241 242 243 244 ...270

Math Statement

Problem 24001

Solve for uuu: ∣2u∣+8=28|2u| + 8 = 28∣2u∣+8=28. Provide your answer as an integer or fraction in simplest form.

Problem 24002

Solve the equation ∣t2∣=6|\frac{t}{2}|=6∣2t​∣=6.

Problem 24003

Solve the equation ∣f∣−3=−50|f|-3=-50∣f∣−3=−50. How many solutions does it have: none, one, or two?

Problem 24004

Find the integer or fraction solutions for ttt in the equation 5=∣t−5∣5=|t-5|5=∣t−5∣.

Problem 24005

Find the function ggg if f(x)=1xf(x)=\frac{1}{x}f(x)=x1​ and (fg)(x)=x+1x2−x\left(\frac{f}{g}\right)(x)=\frac{x+1}{x^{2}-x}(gf​)(x)=x2−xx+1​.

Problem 24006

Solve the equation ∣m+3∣=7|m+3|=7∣m+3∣=7.

Problem 24007

Find the values of qqq that satisfy the equation ∣q−8∣=14|q-8|=14∣q−8∣=14.

Problem 24008

Solve the equation ∣x−1∣+5=2|x-1|+5=2∣x−1∣+5=2.

Problem 24009

Determine the domain of the function f(x)=x−8x+8f(x)=\frac{x-8}{x+8}f(x)=x+8x−8​ in interval notation.

Problem 24010

Determine the domain of the function F(x)=7x5−4x4+4F(x)=7 x^{5}-4 x^{4}+4F(x)=7x5−4x4+4 in interval notation.

Problem 24011

Calculate the limit f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ for h≠0h \neq 0h=0 where f(x)=x2+5x−1f(x)=x^{2}+5x-1f(x)=x2+5x−1 and f(x)=1x+3f(x)=\frac{1}{x+3}f(x)=x+31​.

Problem 24012

Convert 34\frac{3}{4}43​ to a percentage. What is the next step?

Problem 24013

Simplify f(x−3)f(x-3)f(x−3) for the function f(x)=x2−2f(x)=x^{2}-2f(x)=x2−2. What is f(x−3)=?f(x-3)=?f(x−3)=?

Problem 24014

Find and simplify f(3x)f(3x)f(3x) for f(x)=x2−11f(x) = x^2 - 11f(x)=x2−11. What is f(3x)=□f(3x) = \squaref(3x)=□?

Problem 24015

Simplify f(3+h)−f(3)f(3+h)-f(3)f(3+h)−f(3) for f(x)=x2−12f(x)=x^{2}-12f(x)=x2−12.

Problem 24016

Round 16.446 to the nearest hundredth. The result is: 16.4516.4516.45

Problem 24017

Find and simplify for f(x)=7x−2f(x)=7x-2f(x)=7x−2: (A) f(x+h)f(x+h)f(x+h), (B) f(x+h)−f(x)f(x+h)-f(x)f(x+h)−f(x), (C) f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​.

Problem 24018

Convert 50°C to Fahrenheit. 50∘C=□∘F 50^{\circ} \mathrm{C}=\square^{\circ} \mathrm{F} 50∘C=□∘F (Round as needed.)

Problem 24019

Choose the correct symbol to make the expression true: 33%?0.5333\% \quad ? \quad 0.5333%?0.53.

Problem 24020

Count the terms in the expression: 4(x)+4(3)4(x) + 4(3)4(x)+4(3).

Problem 24021

Solve the system: x2+2=yx^{2}+2=yx2+2=y and y=−3x2+1y=-3x^{2}+1y=−3x2+1.

Problem 24022

Convert 3750\frac{37}{50}5037​ to a percentage. What is the next step?

Problem 24023

Calculate 735⋅389+265⋅389735 \cdot 389 + 265 \cdot 389735⋅389+265⋅389.

Problem 24024

What is the next term in the sequence: A1, B2, D4, G7, K11, P16?

Problem 24025

Calculate: 768÷70−418÷70768 \div 70 - 418 \div 70768÷70−418÷70

Problem 24026

Find f(x+h)f(x+h)f(x+h), f(x+h)−f(x)f(x+h)-f(x)f(x+h)−f(x), and f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ for f(x)=3x2−7x+6f(x)=3x^2-7x+6f(x)=3x2−7x+6.

Problem 24027

Find the meaning of f(6)=113f(6)=113f(6)=113 for the function f(x)=−x3+8x2+6x+5f(x)=-x^{3}+8 x^{2}+6 x+5f(x)=−x3+8x2+6x+5.

Problem 24028

Convert the fraction 975\frac{9}{75}759​ to its decimal form. 975=\frac{9}{75}=759​=

Problem 24029

What does f(6)=113f(6)=113f(6)=113 mean for the function f(x)=−x3+8x2+6x+5f(x)=-x^{3}+8 x^{2}+6 x+5f(x)=−x3+8x2+6x+5?

Problem 24030

If x3y=3\frac{x}{3y} = 33yx​=3, find the value of yx\frac{y}{x}xy​.

Problem 24031

Calculate 681⋅93−582⋅93681 \cdot 93 - 582 \cdot 93681⋅93−582⋅93.

Problem 24032

Calculate 4[7(8+5)]⋅34[7(8+5)] \cdot 34[7(8+5)]⋅3.

Problem 24033

Find the revenue function for the price-demand p(x)=85−3xp(x)=85-3xp(x)=85−3x where 1≤x≤201 \leq x \leq 201≤x≤20. What is R(x)R(x)R(x)?

Problem 24034

Convert the fraction 103\frac{10}{3}310​ to a mixed numeral.

Problem 24035

If P(A)=0.95\mathrm{P}(\mathrm{A})=0.95P(A)=0.95, what does this mean? Choose the best interpretation. 10 points. A, B, C, or D?

Problem 24036

What does P(A)=0.32\mathrm{P}(\mathrm{A})=0.32P(A)=0.32 mean? Choose one: A. unlikely, B. less often, C. never, D. always.

Problem 24037

Solve the equation ∣4n−15∣=∣n∣|4n - 15| = |n|∣4n−15∣=∣n∣.

Problem 24038

Solve the inequality 3x−4>0\frac{3}{x-4}>0x−43​>0. What are the valid ranges for xxx?

Problem 24039

Solve the inequality x+2x−4<0\frac{x+2}{x-4}<0x−4x+2​<0 and find the valid intervals for xxx.

Problem 24040

Solve for $u$ : $|2u| + 8 = 28$ . Provide your answer as an integer or fraction in simplest form.

Solve the equation $|\frac{t}{2}|=6$ .

Solve the equation $|f|-3=-50$ . How many solutions does it have: none, one, or two?

Find the integer or fraction solutions for $t$ in the equation $5=|t-5|$ .

Find the function $g$ if $f(x)=\frac{1}{x}$ and $\left(\frac{f}{g}\right)(x)=\frac{x+1}{x^{2}-x}$ .

Solve the equation $|m+3|=7$ .

Find the values of $q$ that satisfy the equation $|q-8|=14$ .

Solve the equation $|x-1|+5=2$ .

Determine the domain of the function $f(x)=\frac{x-8}{x+8}$ in interval notation.

Determine the domain of the function $F(x)=7 x^{5}-4 x^{4}+4$ in interval notation.

Calculate the limit $\frac{f(x+h)-f(x)}{h}$ for $h \neq 0$ where $f(x)=x^{2}+5x-1$ and $f(x)=\frac{1}{x+3}$ .

Convert $\frac{3}{4}$ to a percentage. What is the next step?

Simplify $f(x-3)$ for the function $f(x)=x^{2}-2$ . What is $f(x-3)=?$

Find and simplify $f(3x)$ for $f(x) = x^2 - 11$ . What is $f(3x) = \square$ ?

Simplify $f(3+h)-f(3)$ for $f(x)=x^{2}-12$ .

Round 16.446 to the nearest hundredth. The result is: $16.45$

Find and simplify for $f(x)=7x-2$ : (A) $f(x+h)$ , (B) $f(x+h)-f(x)$ , (C) $\frac{f(x+h)-f(x)}{h}$ .

Convert 50°C to Fahrenheit. $50^{\circ} \mathrm{C}=\square^{\circ} \mathrm{F}$ (Round as needed.)

Choose the correct symbol to make the expression true: $33\% \quad ? \quad 0.53$ .

Count the terms in the expression: $4(x) + 4(3)$ .

Solve the system: $x^{2}+2=y$ and $y=-3x^{2}+1$ .

Convert $\frac{37}{50}$ to a percentage. What is the next step?

Calculate $735 \cdot 389 + 265 \cdot 389$ .

Calculate: $768 \div 70 - 418 \div 70$

Find $f(x+h)$ , $f(x+h)-f(x)$ , and $\frac{f(x+h)-f(x)}{h}$ for $f(x)=3x^2-7x+6$ .

Find the meaning of $f(6)=113$ for the function $f(x)=-x^{3}+8 x^{2}+6 x+5$ .

Convert the fraction $\frac{9}{75}$ to its decimal form. $\frac{9}{75}=$

What does $f(6)=113$ mean for the function $f(x)=-x^{3}+8 x^{2}+6 x+5$ ?

If $\frac{x}{3y} = 3$ , find the value of $\frac{y}{x}$ .

Calculate $681 \cdot 93 - 582 \cdot 93$ .

Calculate $4[7(8+5)] \cdot 3$ .

Find the revenue function for the price-demand $p(x)=85-3x$ where $1 \leq x \leq 20$ . What is $R(x)$ ?

Convert the fraction $\frac{10}{3}$ to a mixed numeral.

If $\mathrm{P}(\mathrm{A})=0.95$ , what does this mean? Choose the best interpretation. 10 points. A, B, C, or D?

What does $\mathrm{P}(\mathrm{A})=0.32$ mean? Choose one: A. unlikely, B. less often, C. never, D. always.

Solve the equation $|4n - 15| = |n|$ .

Solve the inequality $\frac{3}{x-4}>0$ . What are the valid ranges for $x$ ?

Solve the inequality $\frac{x+2}{x-4}<0$ and find the valid intervals for $x$ .

Find the revenue function $R(x)=85x-3x^{2}$ and its domain from options A. $[1,20]$ , B. $[0,592]$ , C. $[0,85]$ , D. $[0,20]$ .

Find $f(x+h)$ , $f(x+h)-f(x)$ , and $\frac{f(x+h)-f(x)}{h}$ for $f(x)=3x-5$ . What is $f(x+h)$ ?

Find the profit function $P(x)$ using the revenue $R(x)=80x-3x^2$ and cost $C(x)=120+15x$ for $1 \leq x \leq 20$ .

Given revenue $R(x)=80x-3x^2$ and cost $C(x)=120+15x$ , find the profit function and its domain. A. $[1,20]$ B. $[0,80]$ C. $[0,228]$ D. $[0,20]$

Solve the equation: $-3 x^{2}-2 x+1=x^{2}-2 x-3$ .

Solve the equation $P=R-C$ for $C$ .

Calculate: $(34 \cdot 5 - 7 \cdot 2 \cdot 5) \div 4 + 25 - (13 \cdot 4 \div 26 - 32)$

Calculate the expression: $134 - 5(20 + 12 \div 4 \cdot 3 - 3 \cdot 7) + (120 \div 2 - 12 \cdot 5)$ .

Solve for $x$ in the equation: $x=(8.4 \times 10^{3} M^{-2} \cdot s^{-1})(0.36 M)^{3}$ . Include units.

Find the limit of $f(x)$ as $x$ approaches 1, where $f(x)=\frac{(x-1)^{2}(x+1)}{|x-1|}$ for $x \neq 1$ and $f(1)=2$ .

Solve the equation $4 x^{2}-2 x+1=2 x^{2}-5 x+3$ .

Solve for $b_{2}$ in the trapezoid area formula: $A=\frac{1}{2} h(b_{1}+b_{2})$ .

Solve the inequality: $6x + 1 \geq 2x - 3(6x - 5)$ . Express the solution in interval notation.

Calculate $x$ using the formula $x=\left(8.4 \times 10^{3} M^{-2} \cdot \mathrm{s}^{-1}\right)(0.36 M)^{3}$ .

Find $\lim _{x \rightarrow \frac{\pi}{4}} g(x)$ for $g(x)=\frac{2 \cos ^{2} x-1}{\cos x-\sin x}$ .

Find $f(-3)$ for the piecewise function $f(x)=\begin{cases}8 x+1 & \text{if } x<3 \\ 3 x & \text{if } 3 \leq x \leq 5 \\ 3-3 x & \text{if } x>5\end{cases}$ .

Solve the inequality: $7(x+3) \leq 0$ .

Solve and graph the inequalities: $x+y > -8$ , $x-y < 3$ , $y < 3$ .

Find $\lim _{x \rightarrow \frac{\pi}{4}} g(x)$ for $g(x)=\frac{2 \cos ^{2} x-1}{\cos x-\sin x}$ . Which option is equivalent?

Solve for $t$ in the equation: $\frac{2}{5} = \frac{2t}{3} + 3$ .

Find the significant figures in the number $1.498$ .

Given the weight prediction formula $\text{Weight} = -115 + 3.6 \text{(Height)}$ , which statements are true? A. I only B. II and III only C. I and II only D. III only E. II only. Select one.

Find the domain and $(f+g)(x)$ for $f(x)=\sqrt{2 x}$ and $g(x)=3 x-2$ . Simplify your answer.

Find the significant figures in the number $248.0$ .

Calculate the average rate of change of $g(x)=-5 x^{3}+4$ between $x=-4$ and $x=4$ .

Evaluate the function $f(x)=\frac{3 x+8}{5 x-3}$ for: (a) $f(0)$ , (b) $f(1)$ , (c) $f(-1)$ , (d) $f(-x)$ , (e) $-f(x)$ , (f) $f(x+1)$ , (g) $f(7 x)$ , (h) $f(x+h)$ .

Find the significant figures in the number $9.055$ .

Given functions $f(x)=\sqrt{2x}$ and $g(x)=3x-2$ , find $(f+g)(x)$ and its domain.

Solve the inequality: $2|x+4|+8 \geq 18$ .