Math Statement

Problem 22901

Solve for x in the equation: $-8-9|9x+6|=73$ .

See Solution

Problem 22902

Solve by factoring: $5 x^{3}-10 x^{2}-75 x=0$ . Find all real solutions: $x=$ .

See Solution

Problem 22903

Solve for $x$ : $3 - 5|7x - 6| = -7$ . If there are two solutions, list them as $a, b$ .

See Solution

Problem 22904

Solve for $k$ in the equation: $k^{2}-16=6 k^{3}-96 k$ . What are the real solutions?
$k=$

See Solution

Problem 22905

Solve $\log _{a}(5 x+14 a)+1=2 \log _{a} x-\log _{x} 1$ for $x$ in terms of $a$ .

See Solution

Problem 22906

Identify the linear function from these equations: $y=x^{2}$ , $y=2x+4$ , $y=4x^{3}+1$ , $y=2x^{2}-5$ .

See Solution

Problem 22907

Identify the linear function among these equations: $y=2 x^{2}$ , $y=-4 x+5$ , $y=-3 x^{2}+2$ , $y=x^{3}$ .

See Solution

Problem 22908

Simplify the cube root of -8 using rational numbers: $\sqrt[3]{-8}$ .

See Solution

Problem 22909

Simplify the expression $\sqrt[3]{-1}$ using rational numbers.

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Problem 22910

Solve the inequality $(x-3)(x-4)(x-5) \leq 0$ and list intervals with their signs in interval notation.

See Solution

Problem 22911

Solve the inequality $(x-5)(x-6)(x-7) \geq 0$ and list intervals with signs in each interval using interval notation.

See Solution

Problem 22912

Solve the inequality $(x-6)(x-7)(x-8) \geq 0$ and list intervals with signs in interval notation.

See Solution

Problem 22913

Solve the inequality: $(x-4)(x-5)(x-6) \geq 0$ . Provide the solution in interval notation.

See Solution

Problem 22914

Solve the inequality $(x-1)(x-2)(x-3) \geq 0$ and list intervals with signs in each. Use interval notation.

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Problem 22915

Solve the inequality: $(x-4)(x-5)(x-7) \leq 0$ . Provide the solution in interval notation.

See Solution

Problem 22916

Solve the inequality: $(x-3)(x-4)(x-5) \geq 0$ . List intervals and signs in each interval using interval notation.

See Solution

Problem 22917

Solve the inequality $(x-6)(x-7)(x-8) \geq 0$ and list intervals with signs in interval notation.

See Solution

Problem 22918

Compute $8 \cdot 8 - 7 \cdot 9$ .

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Problem 22919

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 22920

Find the result of $12 \div 2 + 4$ .

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Problem 22921

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 22922

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

See Solution

Problem 22923

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

See Solution

Problem 22924

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

See Solution

Problem 22925

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

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Problem 22926

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 22927

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) $f(x)=\frac{x-2}{x^{2}+3 x+2}$

See Solution

Problem 22928

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. $30 x^{4}-15 x^{3}-70 x^{2}+35 x$

See Solution

Problem 22929

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

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Problem 22930

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

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Problem 22931

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 22932

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

See Solution

Problem 22933

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

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Problem 22934

If $a$ and $b$ satisfy $a \sin^2 \theta + a \cos^2 \theta = b$ , find $\frac{b}{a}$ . F. -1 G. 0 H. $\frac{1}{2}$ J. 1 K. 2

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Problem 22935

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

See Solution

Problem 22936

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

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Problem 22937

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

See Solution

Problem 22938

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

See Solution

Problem 22939

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

See Solution

Problem 22940

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

See Solution

Problem 22941

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

See Solution

Problem 22942

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

See Solution

Problem 22943

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

See Solution

Problem 22944

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

See Solution

Problem 22945

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

See Solution

Problem 22946

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

See Solution

Problem 22947

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

See Solution

Problem 22948

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

See Solution

Problem 22949

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 22950

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 $f(x)$ .

See Solution

Problem 22951

Find the number of elements in the union of sets A and B, given |A| = 5, |B| = 17, and |A ∩ B| = 5.

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Problem 22952

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 22953

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

See Solution

Problem 22954

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

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Problem 22955

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

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Problem 22956

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

See Solution

Problem 22957

Simplify: $-3.8 + 2.3 - (-1.1)$

See Solution

Problem 22958

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

See Solution

Problem 22959

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

See Solution

Problem 22960

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

See Solution

Problem 22961

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

See Solution

Problem 22962

Сравните числа a и b для случаев: a) $a-b=-0,001$ ; б) $a-b=0$ ; в) $a-b=4,3$ .

See Solution

Problem 22963

Divide 568 by 86.

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Problem 22964

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

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Problem 22965

Prove that if $\angle 1$ and $\angle 2$ are supplementary, and $\angle 2$ and $\angle 3$ are supplementary, then $\angle 1 \cong \angle 3$ .

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Problem 22966

Which choice correctly shows the inequality: $-\frac{3}{4}>-3.46>-2 \frac{1}{3}>6>\frac{16}{5}$ ?

See Solution

Problem 22967

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

See Solution

Problem 22968

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.

See Solution

Problem 22969

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

See Solution

Problem 22970

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

See Solution

Problem 22971

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

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Problem 22972

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.

See Solution

Problem 22973

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.

See Solution

Problem 22974

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

See Solution

Problem 22975

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

See Solution

Problem 22976

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

See Solution

Problem 22977

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

See Solution

Problem 22978

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

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Problem 22979

In a triangle, if $m \angle A=(x-2)^{\circ}$ , $m \angle B=(x-2)^{\circ}$ , and $m \angle C=(3x+4)^{\circ}$ , find each angle's measure.

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Problem 22980

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

See Solution

Problem 22981

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 22982

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

Problem 22983

Simplify the difference quotient for $f(x)= 3x + 7$ : $\frac{f(x+h)-f(x)}{h}$ , where $h \neq 0$ .

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Problem 22984

Find and simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for the functions: 71. $f(x)=4x$ , 72. $f(x)=7x$ .

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Problem 22985

Solve the inequalities: (a) $4(7-u)+6u<10$ ; (b) $-2(v+5)+21 \geq 2(6-v)$ . Identify solutions.

See Solution

Problem 22986

Solve the inequality $5(7 v+6) \geq 35 v+30$ . What are the possible values for $v$ ?

See Solution

Problem 22987

Solve the inequality $-2(y+5)+21>2(7-y)$ . What are the possible values for $y$ ?

See Solution

Problem 22988

Solve the inequality $-2(v+5)+21 \geq 2(6-v)$ . What are the possible values for $v$ ?

See Solution

Problem 22989

Solve the inequality $5(4-u)+5u<16$ . What are the possible values for $u$ ?

See Solution

Problem 22990

Solve the inequality $4(5 x+3) \leq 18 x+30$ . What are the possible values for $x$ ?

See Solution

Problem 22991

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x) = x^2 - 4x + 3$ , with $h \neq 0$ .

See Solution

Problem 22992

Find the limit: $\lim _{x \rightarrow 8^{+}} \frac{1}{x-8}$ .

See Solution

Problem 22993

Find the limit: $\lim _{x \rightarrow 2^{+}} \frac{x-6}{(x-2)^{2}}$ .

See Solution

Problem 22994

The area between $y=\sin (x)$ and the $x$ -axis from $x=-\pi$ to $x=\pi$ is given by $\int_{-\pi}^{\pi} \sin (x) dx$ . True or False?

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Problem 22995

False. The solutions to the differential equation $\frac{d y}{d x}=y^{2}-4 y$ include other values.

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Problem 22996

Determine the slope and $y$ -intercept of the line given by $y=-8 x-11$ . What is the slope?

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Problem 22997

Verify if $\int \frac{1}{1+x^{2}} \, dx = \tan^{-1}(x) + C$ and show the proof step by step.

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Problem 22998

Find the limits for the piecewise function $f(x)=\left\{\begin{array}{ll}x^{2}+16, & x<-16 \\ \sqrt{x+16}, & x \geq-16\end{array}\right.$ : a. $\lim _{x \rightarrow-16^{-}} f(x)$ b. $\lim _{x \rightarrow-16^{+}} f(x)$ c. $\lim _{x \rightarrow-16} f(x)$

See Solution

Problem 22999

Is it true or false that $\int_{1}^{x^{2}} \ln(1+t^{2}) dt = \int_{1}^{x} 2t \ln(1+t^{4}) dt$ ?

See Solution

Problem 23000

Find the value of $K$ in the solution $y(t)=\frac{K}{1+A e^{-r t}}$ for the IVP $\frac{d y}{d t}=3 y(1-\frac{y}{12})$ , $y(0)=2$ .

See Solution

1 ...227 228 229 230 231 232 233 ...269

Math Statement

Problem 22901

Solve for x in the equation: −8−9∣9x+6∣=73-8-9|9x+6|=73−8−9∣9x+6∣=73.

Problem 22902

Solve by factoring: 5x3−10x2−75x=05 x^{3}-10 x^{2}-75 x=05x3−10x2−75x=0. Find all real solutions: x=x=x=.

Problem 22903

Solve for xxx: 3−5∣7x−6∣=−73 - 5|7x - 6| = -73−5∣7x−6∣=−7. If there are two solutions, list them as a,ba, ba,b.

Problem 22904

Solve for kkk in the equation: k2−16=6k3−96kk^{2}-16=6 k^{3}-96 kk2−16=6k3−96k. What are the real solutions? k= k= k=

Problem 22905

Solve log⁡a(5x+14a)+1=2log⁡ax−log⁡x1\log _{a}(5 x+14 a)+1=2 \log _{a} x-\log _{x} 1loga​(5x+14a)+1=2loga​x−logx​1 for xxx in terms of aaa.

Problem 22906

Identify the linear function from these equations: y=x2y=x^{2}y=x2, y=2x+4y=2x+4y=2x+4, y=4x3+1y=4x^{3}+1y=4x3+1, y=2x2−5y=2x^{2}-5y=2x2−5.

Problem 22907

Identify the linear function among these equations: y=2x2y=2 x^{2}y=2x2, y=−4x+5y=-4 x+5y=−4x+5, y=−3x2+2y=-3 x^{2}+2y=−3x2+2, y=x3y=x^{3}y=x3.

Problem 22908

Simplify the cube root of -8 using rational numbers: −83\sqrt[3]{-8}3−8​.

Problem 22909

Simplify the expression −13\sqrt[3]{-1}3−1​ using rational numbers.

Problem 22910

Solve the inequality (x−3)(x−4)(x−5)≤0(x-3)(x-4)(x-5) \leq 0(x−3)(x−4)(x−5)≤0 and list intervals with their signs in interval notation.

Problem 22911

Solve the inequality (x−5)(x−6)(x−7)≥0(x-5)(x-6)(x-7) \geq 0(x−5)(x−6)(x−7)≥0 and list intervals with signs in each interval using interval notation.

Problem 22912

Solve the inequality (x−6)(x−7)(x−8)≥0(x-6)(x-7)(x-8) \geq 0(x−6)(x−7)(x−8)≥0 and list intervals with signs in interval notation.

Problem 22913

Solve the inequality: (x−4)(x−5)(x−6)≥0(x-4)(x-5)(x-6) \geq 0(x−4)(x−5)(x−6)≥0. Provide the solution in interval notation.

Problem 22914

Solve the inequality (x−1)(x−2)(x−3)≥0(x-1)(x-2)(x-3) \geq 0(x−1)(x−2)(x−3)≥0 and list intervals with signs in each. Use interval notation.

Problem 22915

Solve the inequality: (x−4)(x−5)(x−7)≤0(x-4)(x-5)(x-7) \leq 0(x−4)(x−5)(x−7)≤0. Provide the solution in interval notation.

Problem 22916

Solve the inequality: (x−3)(x−4)(x−5)≥0(x-3)(x-4)(x-5) \geq 0(x−3)(x−4)(x−5)≥0. List intervals and signs in each interval using interval notation.

Problem 22917

Solve the inequality (x−6)(x−7)(x−8)≥0(x-6)(x-7)(x-8) \geq 0(x−6)(x−7)(x−8)≥0 and list intervals with signs in interval notation.

Problem 22918

Compute 8⋅8−7⋅98 \cdot 8 - 7 \cdot 98⋅8−7⋅9.

Problem 22919

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 22920

Find the result of 12÷2+412 \div 2 + 412÷2+4.

Problem 22921

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 22922

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 22923

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

Problem 22924

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 22925

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 22926

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 22927

Problem 22928

Problem 22929

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

Problem 22930

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 22931

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 22932

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 22933

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

Problem 22934

If aaa and bbb satisfy asin⁡2θ+acos⁡2θ=ba \sin^2 \theta + a \cos^2 \theta = basin2θ+acos2θ=b, find ba\frac{b}{a}ab​. F. -1 G. 0 H. 12\frac{1}{2}21​ J. 1 K. 2

Problem 22935

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

Problem 22936

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

Problem 22937

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 22938

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

Problem 22939

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 22940

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

Problem 22941

Solve for x in the equation: $-8-9|9x+6|=73$ .

Solve by factoring: $5 x^{3}-10 x^{2}-75 x=0$ . Find all real solutions: $x=$ .

Solve for $x$ : $3 - 5|7x - 6| = -7$ . If there are two solutions, list them as $a, b$ .

Solve for $k$ in the equation: $k^{2}-16=6 k^{3}-96 k$ . What are the real solutions?
$k=$

Solve $\log _{a}(5 x+14 a)+1=2 \log _{a} x-\log _{x} 1$ for $x$ in terms of $a$ .

Identify the linear function from these equations: $y=x^{2}$ , $y=2x+4$ , $y=4x^{3}+1$ , $y=2x^{2}-5$ .

Identify the linear function among these equations: $y=2 x^{2}$ , $y=-4 x+5$ , $y=-3 x^{2}+2$ , $y=x^{3}$ .

Simplify the cube root of -8 using rational numbers: $\sqrt[3]{-8}$ .

Simplify the expression $\sqrt[3]{-1}$ using rational numbers.

Solve the inequality $(x-3)(x-4)(x-5) \leq 0$ and list intervals with their signs in interval notation.

Solve the inequality $(x-5)(x-6)(x-7) \geq 0$ and list intervals with signs in each interval using interval notation.

Solve the inequality $(x-6)(x-7)(x-8) \geq 0$ and list intervals with signs in interval notation.

Solve the inequality: $(x-4)(x-5)(x-6) \geq 0$ . Provide the solution in interval notation.

Solve the inequality $(x-1)(x-2)(x-3) \geq 0$ and list intervals with signs in each. Use interval notation.

Solve the inequality: $(x-4)(x-5)(x-7) \leq 0$ . Provide the solution in interval notation.

Solve the inequality: $(x-3)(x-4)(x-5) \geq 0$ . List intervals and signs in each interval using interval notation.

Solve the inequality $(x-6)(x-7)(x-8) \geq 0$ and list intervals with signs in interval notation.

Compute $8 \cdot 8 - 7 \cdot 9$ .

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

Find the result of $12 \div 2 + 4$ .

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 $x^{2}-y^{2}$ .

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

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.

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 $k=$ .

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.

If $a$ and $b$ satisfy $a \sin^2 \theta + a \cos^2 \theta = b$ , find $\frac{b}{a}$ . F. -1 G. 0 H. $\frac{1}{2}$ J. 1 K. 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.

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 $f(x)$ .

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

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.

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.

Simplify: $-3.8 + 2.3 - (-1.1)$

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.

Сравните числа a и b для случаев: a) $a-b=-0,001$ ; б) $a-b=0$ ; в) $a-b=4,3$ .

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

Prove that if $\angle 1$ and $\angle 2$ are supplementary, and $\angle 2$ and $\angle 3$ are supplementary, then $\angle 1 \cong \angle 3$ .

Which choice correctly shows the inequality: $-\frac{3}{4}>-3.46>-2 \frac{1}{3}>6>\frac{16}{5}$ ?

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.

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.

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