Browse Math problems in the Studdy Learning Bank!

Problem 7001

Find the asymptotes of the curve $C$ with equation $y=\frac{x^{2}+2 x-15}{x-2}$ .

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Problem 7002

Find the value of $r$ that satisfies $4 \pi r^{2} = 67$ , rounded to one decimal place.

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Problem 7003

Find the value of $p$ that satisfies the equation $100 = p^2$ .

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Problem 7004

Encuentra el punto de intersección con el eje y y la pendiente de la recta $y=-6x-8$ .

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Problem 7005

Solve for $x$ in the equation $\frac{x}{2} + 5 = 10$ .

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Problem 7006

Ship $x$ candles, each weighing $\frac{1}{5}$ pounds, in a box weighing 49 pounds. The total weight is 53 pounds. Find $x$ .

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Problem 7007

Evaluate the following expressions: $3(a^2 - b^2 + c)$ , $2(5a^2 - 7a + 2)$ , and $(2y + 5)(-4)$ .

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Problem 7008

Is the equation $5 m + 2 m = 7 m$ valid? Check the units.

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Problem 7009

Find the percentage of data to the left of the z-score $z=1.05$ .

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Problem 7010

Find the value of $2w+8$ when $w=-5$ .

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Problem 7011

If a quadratic equation has $\text{discriminant} = -8$ , the roots are two complex numbers.

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Problem 7012

Find the inverse of the rational function $\frac{-x+5}{x+7}$ .

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Problem 7013

Solve $\frac{3(2 x+3)}{13}=2 x-7$ for $x$ .

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Problem 7014

Find the value of $24 \times n$ when $n=8$ . Enter the correct answer in the box. $24 \times \square = 192$

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Problem 7015

Find the equivalent expression to $0=2 x^{2}-16 x-18$ using the completing the square method.

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Problem 7016

Find the equation of the function after translating $f(x)=\sqrt{x}$ left 3 units and up 5 units.

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Problem 7017

Solve for x in the equation $9 + 7x = 7x^2$ .

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Problem 7018

Factor the given rational expression, then find the coordinates of the hole.
$\frac{x^{2}+2x-3}{x^{2}+3x-4}$ Find $x$ and $y$ where the expression is undefined.

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Problem 7019

Solve the inequality $3-4(x+1) \leq 2x+5$ and represent the solution on a number line.

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Problem 7020

Solve the linear equation $6 y - 12 = -3 + 9 y$ for the variable $y$ .

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Problem 7021

Find the value of $r$ given the system of linear equations $-4(r+2) = -12$ and $r+2 = 3$ .

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Problem 7022

Solve the linear equation $2d + 9 - 5d = 2d - 1$ for the variable $d$ .

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Problem 7023

Find the domain of the rational expression $\frac{(x+2)(x+1)}{(x-1)(x-3)}$ , excluding the real numbers where the expression is undefined.

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Problem 7024

Simplify the expression $(a-3)^{2}$ .

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Problem 7025

Find the height of an isosceles trapezoid with bases of length $5$ inches and $11$ inches, given its area is $40$ square inches.

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Problem 7026

Find the value of $\log_{2}\sqrt[3]{64}$ .

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Problem 7027

Find the number of friends who received books from Aiden, who bought 11 books and gave 2 books to each friend, keeping one book for himself. $x$ is the number of friends.

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Problem 7028

Find the value of a quantity that decays exponentially at $8.5\%$ every 9 weeks, starting at 390, after 42 days, to the nearest hundredth.

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Problem 7029

Solve the quadratic equation $-7 x^{2}+7 x+1=-8$ and choose the correct solution.

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Problem 7030

Find the constant of proportionality $k$ when $y$ is directly proportional to $x$ , and $y=49.5$ when $x=11$ . Write the variation equation $y=kx$ .

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Problem 7031

Find the side length $x$ of an equilateral triangle with perimeter $18.6$ inches, given each side is $x+4$ inches.

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Problem 7032

Determine if the point $(1,0)$ satisfies the equation $y=8x$ .

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Problem 7033

Solve for $k$ where $k \div \frac{3}{5}=4$ . Write answer as fraction or whole/mixed number.

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Problem 7034

Find the value of the absolute value of 7.

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Problem 7035

Find the quotient of $\frac{28 x^{5}}{45}$ divided by $\frac{7 x^{3}}{30}$ and express it in simplest form.

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Problem 7036

Solve the system of linear equations $-16d - 14 + 4d = -14$ and $-12d - 14 = -14$ for the variable $d$ .

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Problem 7037

Write an expression to divide $y$ by 2.

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Problem 7038

Solve for $t$ where $t \div 9 = \frac{7}{10}$ . Write the answer as a fraction or whole/mixed number.

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Problem 7039

Find the value of $f(12)$ in the sequence $f(1)=5, f(n)=f(n-1)+3$ .

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Problem 7040

Tristan volunteered 61 hours last year, including 23 hours walking dogs. Find the hours he volunteered at the soup kitchen using the equation $23+s=61$ .

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Problem 7041

Simplify the expression $\left(3 x^{5}\right)^{2} \cdot 4 x^{-1}$ .

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Problem 7042

Solve for $x$ in the equation $-2\left(x+\frac{1}{4}\right)+1=5$ . Enter the answer as a simplified fraction.

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Problem 7043

Determine the sign that makes the statement $85\% ? 0.85$ true, where the options are $>$ , $<$ , or $=$ .

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Problem 7044

Find the operator that makes the statement $7 \% ? \frac{3}{40}$ true.

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Problem 7045

Solve equations with variables on both sides. Which operation solves $14+7d=8d$ ?

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Problem 7046

Describe the end behavior of $f(x)=3x^4$ using the leading coefficient and degree. State the domain and range.

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Problem 7047

Find the product of $3 \cdot 5$ .

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Problem 7048

Find the value of $m$ in the equation $12+7+m=30$ . Drag and drop the correct answer: 11.

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Problem 7049

$k \in \left(-\frac{17}{6}, -\frac{1}{2}\right]$

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Problem 7050

Find the solutions for $w$ in the equation $-\left(\frac{1}{4} w+8\right)+8=3$ .

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Problem 7051

Find the values of $x$ and $y$ that satisfy the system of linear equations $2x + 3y = 8$ and $x = \frac{1}{2}y$ .

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Problem 7052

(10 points) Find the domain, asymptotes, critical points, intervals of increasing/decreasing, and concavity for $f(x)=x^{2}+\frac{16}{x}$ . Sketch the curve.

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Problem 7053

Convert base 8 number 4,305 to hexadecimal.
$4,305_{8} = \square_{16}$

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Problem 7054

Solve the equation $\frac{1}{9^{4}}=x$ for $x$ .

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Problem 7055

Solve the linear equations $2x - 1 + 3x = 0$ and $5x - 1 = 0$ . How can we obtain the second equation from the first?

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Problem 7056

Find the expression for "8 less than the product of 6 and 9": $6 \times 9 - 8$ .

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Problem 7057

Solve the expression using the order of operations: $5^{2} + 2[73 - (4 \times 5)]$ .

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Problem 7058

Solve the linear equation $\frac{z}{-9}-1=3$ for the variable $z$ .

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Problem 7059

Find two consecutive integers that satisfy the inequality $\sqrt{181} < x < x + 1$ .

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Problem 7060

Simplify the expression $\frac{y+7}{y^{2}-y-12}-\frac{2}{y^{2}-9}$ .

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Problem 7061

Find the quotient of 7,518 divided by 6. Explain your $\frac{7,518}{6}$ solution.

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Problem 7062

An insect exhibit has $2$ butterflies for every $3$ caterpillars. There are $36$ caterpillars. Find the number of butterflies.

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Problem 7063

Evaluate the logarithmic expressions: (a) $\log_{5} \frac{1}{25}$ (b) $\log_{2} 32$

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Problem 7064

Write an equation to represent "Sixteen less than five times a number is 7". Describe a real-world situation the equation could represent. $5x - 16 = 7$

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Problem 7065

Solve for the variable $g$ in the equation $m g = 4$ .

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Problem 7066

What is the value of the expression $\left(2^{4}\right)^{2}$ ?

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Problem 7067

Find the square root of 784 using prime factorization.

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Problem 7068

Simplify the expression $\frac{6 p-6}{p} \times \frac{2 p^{2}}{9 p-9}$ .

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Problem 7069

Find the missing numbers to solve $52-6$ using the given steps: $52-6 = 52-\sqrt{-4} = -4$ .

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Problem 7070

Find the second derivative of $f(x) = x \sin x$ . The second derivative is $f''(x) = -2 \cos x + x \sin x$ .

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Problem 7071

Use remainder theorem to find remainder when $f(x) = 2x^4 - 6x^3 + 9x - 2$ is divided by $x-2$ . Determine if $x-2$ is a factor of $f(x)$ .

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Problem 7072

Find the value of $a(3a + b)$ when $a = -2$ and $b = 8$ .

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Problem 7073

Find the simplified expression for the sum of $4x-2$ and $x-8$ .

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Problem 7074

Solve for $g$ in the equation $14=g \div(-7)$ .

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Problem 7075

Identify the hole in the graph of $f(x)=\frac{x+7}{7x+49}$ .

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Problem 7076

Identify real/imaginary complex numbers and write in standard form $a+bi$ . Examples: $6i$ , $\frac{1+i}{3}$ , $\sqrt{7}$ , $\frac{\pi}{2}$ .

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Problem 7077

Find the simplified expression for the area of a square with side length $x-10$ .

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Problem 7078

Find the solution to the absolute value equation $2|5x+3|-2=14$ .

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Problem 7079

Calculate the volume of concrete needed for a 6 ft wide, 100 ft long, and 3 inch deep sidewalk. [Volume = $6 \times 100 \times 0.25$ cubic feet, convert to cubic yards].

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Problem 7080

Berechne $(x+5)^{2}$ mit den binomischen Formeln.

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Problem 7081

Factor $64 x^{3} + 125 y^{3}$ to get $8x^{3} + 5y^{3}$ .

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Problem 7082

Solve the linear equation $5w - 4 = 16$ and verify the solution.

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Problem 7083

Find the two points on a line parallel to the line $4x - 6y = -42$ .

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Problem 7084

Solve for $x$ in the equation $c x + b = 4(x - c)$ . Simplify the solution.

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Problem 7085

Solve for $k$ in the equation $18 = 2k + 12k - 8k$ .

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Problem 7086

Simplify the expression: $(19-7) \div 4 + 11$

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Problem 7087

Determine if $h(x) = 3x^2 + x^4$ is even, odd, or neither. Then, determine if its graph is symmetric about the $y$ -axis, origin, or neither.

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Problem 7088

Which one is not a linear equation? Choose the correct answer: $9 x^{2}-4 x+3=0$ is not a linear equation.

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Problem 7089

Solve the system of linear equations: $y=-\frac{1}{4} x-2$ and $x+4 y=-8$ .

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Problem 7090

Find the postage for a letter weighing $x$ oz. where first-class postage is $\$ 0.39$ for the first ounce and $\$ 0.26$ for each additional ounce. Find the limit of $C(x)$ as $x \rightarrow 3^{-}$ .

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Problem 7091

Find the value of $x$ in the equation $9(x-3)=18$ .

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Problem 7092

Determine the masses of red, green, and yellow $2 \mathrm{~kg}$ blocks in a bag with ratio $5 : 3 : 2$ by mass.

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Problem 7093

Verwenden Sie den Logarithmus, um die Lösungen zu finden und geben Sie einen Näherungswert mit vier Dezimalstellen an. a) $9^{x+2}=5$ b) $9 \cdot 5^{2 x}=65,7$ c) $7+0,13^{x}=8,5$ d) $11,4^{2 x+3}=0,9$

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Problem 7094

Find the minimum value of the parabolic function $y = x^2 + 4$ . Express the solution as a simplified fraction or integer.

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Problem 7095

Solve the trigonometric equation $2-\csc^2 z=1-\cot^2 z$ for $z$ .

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Problem 7096

Find the difference between $9 \frac{5}{6}$ and $2 \frac{1}{3}$ .

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Problem 7097

Solve for the value of $c$ given the equation $2+\frac{4}{3}c=c-\frac{1}{3}$ .

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Problem 7098

Multiply $\left(\frac{1}{6} x-\frac{4}{5}\right)$ and $\left(3 x+\frac{2}{3}\right)$ , express the result as a simplified trinomial.

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Problem 7099

Simplify the expression $\frac{x^{2}+6 x+8}{5 x} \div \frac{x+4}{3}$ and give the answer as a simplified fraction.

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Problem 7100

Solve for the value of $h$ given the inequality $49 \geq \frac{h}{8} + 37$ .

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Math

Problem 7001

Find the asymptotes of the curve CCC with equation y=x2+2x−15x−2y=\frac{x^{2}+2 x-15}{x-2}y=x−2x2+2x−15​.

Problem 7002

Find the value of rrr that satisfies 4πr2=674 \pi r^{2} = 674πr2=67, rounded to one decimal place.

Problem 7003

Find the value of ppp that satisfies the equation 100=p2100 = p^2100=p2.

Problem 7004

Encuentra el punto de intersección con el eje y y la pendiente de la recta y=−6x−8y=-6x-8y=−6x−8.

Problem 7005

Solve for xxx in the equation x2+5=10\frac{x}{2} + 5 = 102x​+5=10.

Problem 7006

Ship xxx candles, each weighing 15\frac{1}{5}51​ pounds, in a box weighing 49 pounds. The total weight is 53 pounds. Find xxx.

Problem 7007

Evaluate the following expressions: 3(a2−b2+c)3(a^2 - b^2 + c)3(a2−b2+c), 2(5a2−7a+2)2(5a^2 - 7a + 2)2(5a2−7a+2), and (2y+5)(−4)(2y + 5)(-4)(2y+5)(−4).

Problem 7008

Is the equation 5m+2m=7m5 m + 2 m = 7 m5m+2m=7m valid? Check the units.

Problem 7009

Find the percentage of data to the left of the z-score z=1.05z=1.05z=1.05.

Problem 7010

Find the value of 2w+82w+82w+8 when w=−5w=-5w=−5.

Problem 7011

If a quadratic equation has discriminant=−8\text{discriminant} = -8discriminant=−8, the roots are two complex numbers.

Problem 7012

Find the inverse of the rational function −x+5x+7\frac{-x+5}{x+7}x+7−x+5​.

Problem 7013

Solve 3(2x+3)13=2x−7\frac{3(2 x+3)}{13}=2 x-7133(2x+3)​=2x−7 for xxx.

Problem 7014

Find the value of 24×n24 \times n24×n when n=8n=8n=8. Enter the correct answer in the box. 24×□=19224 \times \square = 19224×□=192

Problem 7015

Find the equivalent expression to 0=2x2−16x−180=2 x^{2}-16 x-180=2x2−16x−18 using the completing the square method.

Problem 7016

Find the equation of the function after translating f(x)=xf(x)=\sqrt{x}f(x)=x​ left 3 units and up 5 units.

Problem 7017

Solve for x in the equation 9+7x=7x29 + 7x = 7x^29+7x=7x2.

Problem 7018

Factor the given rational expression, then find the coordinates of the hole.x2+2x−3x2+3x−4\frac{x^{2}+2x-3}{x^{2}+3x-4}x2+3x−4x2+2x−3​ Find xxx and yyy where the expression is undefined.

Problem 7019

Solve the inequality 3−4(x+1)≤2x+53-4(x+1) \leq 2x+53−4(x+1)≤2x+5 and represent the solution on a number line.

Problem 7020

Solve the linear equation 6y−12=−3+9y6 y - 12 = -3 + 9 y6y−12=−3+9y for the variable yyy.

Problem 7021

Find the value of rrr given the system of linear equations −4(r+2)=−12-4(r+2) = -12−4(r+2)=−12 and r+2=3r+2 = 3r+2=3.

Problem 7022

Solve the linear equation 2d+9−5d=2d−12d + 9 - 5d = 2d - 12d+9−5d=2d−1 for the variable ddd.

Problem 7023

Find the domain of the rational expression (x+2)(x+1)(x−1)(x−3)\frac{(x+2)(x+1)}{(x-1)(x-3)}(x−1)(x−3)(x+2)(x+1)​, excluding the real numbers where the expression is undefined.

Problem 7024

Simplify the expression (a−3)2(a-3)^{2}(a−3)2.

Problem 7025

Find the height of an isosceles trapezoid with bases of length 555 inches and 111111 inches, given its area is 404040 square inches.

Problem 7026

Find the value of log⁡2643\log_{2}\sqrt[3]{64}log2​364​.

Problem 7027

Find the number of friends who received books from Aiden, who bought 11 books and gave 2 books to each friend, keeping one book for himself. xxx is the number of friends.

Problem 7028

Find the value of a quantity that decays exponentially at 8.5%8.5\%8.5% every 9 weeks, starting at 390, after 42 days, to the nearest hundredth.

Problem 7029

Solve the quadratic equation −7x2+7x+1=−8-7 x^{2}+7 x+1=-8−7x2+7x+1=−8 and choose the correct solution.

Problem 7030

Find the constant of proportionality kkk when yyy is directly proportional to xxx, and y=49.5y=49.5y=49.5 when x=11x=11x=11. Write the variation equation y=kxy=kxy=kx.

Problem 7031

Find the side length xxx of an equilateral triangle with perimeter 18.618.618.6 inches, given each side is x+4x+4x+4 inches.

Problem 7032

Determine if the point (1,0)(1,0)(1,0) satisfies the equation y=8xy=8xy=8x.

Problem 7033

Solve for kkk where k÷35=4k \div \frac{3}{5}=4k÷53​=4. Write answer as fraction or whole/mixed number.

Problem 7034

Find the value of the absolute value of 7.

Problem 7035

Find the quotient of 28x545\frac{28 x^{5}}{45}4528x5​ divided by 7x330\frac{7 x^{3}}{30}307x3​ and express it in simplest form.

Problem 7036

Solve the system of linear equations −16d−14+4d=−14-16d - 14 + 4d = -14−16d−14+4d=−14 and −12d−14=−14-12d - 14 = -14−12d−14=−14 for the variable ddd.

Problem 7037

Write an expression to divide yyy by 2.

Problem 7038

Solve for ttt where t÷9=710t \div 9 = \frac{7}{10}t÷9=107​. Write the answer as a fraction or whole/mixed number.

Problem 7039

Find the value of f(12)f(12)f(12) in the sequence f(1)=5,f(n)=f(n−1)+3f(1)=5, f(n)=f(n-1)+3f(1)=5,f(n)=f(n−1)+3.

Problem 7040

Find the asymptotes of the curve $C$ with equation $y=\frac{x^{2}+2 x-15}{x-2}$ .

Find the value of $r$ that satisfies $4 \pi r^{2} = 67$ , rounded to one decimal place.

Find the value of $p$ that satisfies the equation $100 = p^2$ .

Encuentra el punto de intersección con el eje y y la pendiente de la recta $y=-6x-8$ .

Solve for $x$ in the equation $\frac{x}{2} + 5 = 10$ .

Ship $x$ candles, each weighing $\frac{1}{5}$ pounds, in a box weighing 49 pounds. The total weight is 53 pounds. Find $x$ .

Evaluate the following expressions: $3(a^2 - b^2 + c)$ , $2(5a^2 - 7a + 2)$ , and $(2y + 5)(-4)$ .

Is the equation $5 m + 2 m = 7 m$ valid? Check the units.

Find the percentage of data to the left of the z-score $z=1.05$ .

Find the value of $2w+8$ when $w=-5$ .

If a quadratic equation has $\text{discriminant} = -8$ , the roots are two complex numbers.

Find the inverse of the rational function $\frac{-x+5}{x+7}$ .

Solve $\frac{3(2 x+3)}{13}=2 x-7$ for $x$ .

Find the value of $24 \times n$ when $n=8$ . Enter the correct answer in the box. $24 \times \square = 192$

Find the equivalent expression to $0=2 x^{2}-16 x-18$ using the completing the square method.

Find the equation of the function after translating $f(x)=\sqrt{x}$ left 3 units and up 5 units.

Solve for x in the equation $9 + 7x = 7x^2$ .

Factor the given rational expression, then find the coordinates of the hole.
$\frac{x^{2}+2x-3}{x^{2}+3x-4}$ Find $x$ and $y$ where the expression is undefined.

Solve the inequality $3-4(x+1) \leq 2x+5$ and represent the solution on a number line.

Solve the linear equation $6 y - 12 = -3 + 9 y$ for the variable $y$ .

Find the value of $r$ given the system of linear equations $-4(r+2) = -12$ and $r+2 = 3$ .

Solve the linear equation $2d + 9 - 5d = 2d - 1$ for the variable $d$ .

Find the domain of the rational expression $\frac{(x+2)(x+1)}{(x-1)(x-3)}$ , excluding the real numbers where the expression is undefined.

Simplify the expression $(a-3)^{2}$ .

Find the height of an isosceles trapezoid with bases of length $5$ inches and $11$ inches, given its area is $40$ square inches.

Find the value of $\log_{2}\sqrt[3]{64}$ .

Find the number of friends who received books from Aiden, who bought 11 books and gave 2 books to each friend, keeping one book for himself. $x$ is the number of friends.

Find the value of a quantity that decays exponentially at $8.5\%$ every 9 weeks, starting at 390, after 42 days, to the nearest hundredth.

Solve the quadratic equation $-7 x^{2}+7 x+1=-8$ and choose the correct solution.

Find the constant of proportionality $k$ when $y$ is directly proportional to $x$ , and $y=49.5$ when $x=11$ . Write the variation equation $y=kx$ .

Find the side length $x$ of an equilateral triangle with perimeter $18.6$ inches, given each side is $x+4$ inches.

Determine if the point $(1,0)$ satisfies the equation $y=8x$ .

Solve for $k$ where $k \div \frac{3}{5}=4$ . Write answer as fraction or whole/mixed number.

Find the quotient of $\frac{28 x^{5}}{45}$ divided by $\frac{7 x^{3}}{30}$ and express it in simplest form.

Solve the system of linear equations $-16d - 14 + 4d = -14$ and $-12d - 14 = -14$ for the variable $d$ .

Write an expression to divide $y$ by 2.

Solve for $t$ where $t \div 9 = \frac{7}{10}$ . Write the answer as a fraction or whole/mixed number.

Find the value of $f(12)$ in the sequence $f(1)=5, f(n)=f(n-1)+3$ .

Tristan volunteered 61 hours last year, including 23 hours walking dogs. Find the hours he volunteered at the soup kitchen using the equation $23+s=61$ .

Simplify the expression $\left(3 x^{5}\right)^{2} \cdot 4 x^{-1}$ .

Solve for $x$ in the equation $-2\left(x+\frac{1}{4}\right)+1=5$ . Enter the answer as a simplified fraction.

Determine the sign that makes the statement $85\% ? 0.85$ true, where the options are $>$ , $<$ , or $=$ .

Find the operator that makes the statement $7 \% ? \frac{3}{40}$ true.

Solve equations with variables on both sides. Which operation solves $14+7d=8d$ ?

Describe the end behavior of $f(x)=3x^4$ using the leading coefficient and degree. State the domain and range.

Find the product of $3 \cdot 5$ .

Find the value of $m$ in the equation $12+7+m=30$ . Drag and drop the correct answer: 11.

$k \in \left(-\frac{17}{6}, -\frac{1}{2}\right]$

Find the solutions for $w$ in the equation $-\left(\frac{1}{4} w+8\right)+8=3$ .

Find the values of $x$ and $y$ that satisfy the system of linear equations $2x + 3y = 8$ and $x = \frac{1}{2}y$ .

(10 points) Find the domain, asymptotes, critical points, intervals of increasing/decreasing, and concavity for $f(x)=x^{2}+\frac{16}{x}$ . Sketch the curve.

Convert base 8 number 4,305 to hexadecimal.
$4,305_{8} = \square_{16}$

Solve the equation $\frac{1}{9^{4}}=x$ for $x$ .

Solve the linear equations $2x - 1 + 3x = 0$ and $5x - 1 = 0$ . How can we obtain the second equation from the first?

Find the expression for "8 less than the product of 6 and 9": $6 \times 9 - 8$ .

Solve the expression using the order of operations: $5^{2} + 2[73 - (4 \times 5)]$ .

Solve the linear equation $\frac{z}{-9}-1=3$ for the variable $z$ .

Find two consecutive integers that satisfy the inequality $\sqrt{181} < x < x + 1$ .

Simplify the expression $\frac{y+7}{y^{2}-y-12}-\frac{2}{y^{2}-9}$ .

Find the quotient of 7,518 divided by 6. Explain your $\frac{7,518}{6}$ solution.

An insect exhibit has $2$ butterflies for every $3$ caterpillars. There are $36$ caterpillars. Find the number of butterflies.

Evaluate the logarithmic expressions: (a) $\log_{5} \frac{1}{25}$ (b) $\log_{2} 32$

Write an equation to represent "Sixteen less than five times a number is 7". Describe a real-world situation the equation could represent. $5x - 16 = 7$

Solve for the variable $g$ in the equation $m g = 4$ .

What is the value of the expression $\left(2^{4}\right)^{2}$ ?

Simplify the expression $\frac{6 p-6}{p} \times \frac{2 p^{2}}{9 p-9}$ .

Find the missing numbers to solve $52-6$ using the given steps: $52-6 = 52-\sqrt{-4} = -4$ .

Find the second derivative of $f(x) = x \sin x$ . The second derivative is $f''(x) = -2 \cos x + x \sin x$ .

Use remainder theorem to find remainder when $f(x) = 2x^4 - 6x^3 + 9x - 2$ is divided by $x-2$ . Determine if $x-2$ is a factor of $f(x)$ .

Find the value of $a(3a + b)$ when $a = -2$ and $b = 8$ .

Find the simplified expression for the sum of $4x-2$ and $x-8$ .

Solve for $g$ in the equation $14=g \div(-7)$ .