Browse Algebra problems in the Studdy Learning Bank!

Problem 5501

Find the roots of the polynomial equation $9x^3 + 13x^2 = 8x + 15$ by factoring or using other methods.

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Problem 5502

Simplify the given complex number expression and express the result in the form $a + bi$ .
$(5 + 2i)^2 + (2 - i)^2$

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Problem 5503

Solve $\frac{x}{4}-\frac{3}{4}=16$ . Which property was used to add $\frac{3}{4}$ to both sides?

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Problem 5504

Solve the equation $9 = 9x - 3x + 21$ and express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

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Problem 5505

Solve and check each linear equation: $7x-5=72$ , $6x-3=63$ , $11x-(6x-5)=40$ , $5x-(2x-10)=35$ , $2x-7=6+x$ , $3x+5=2x+13$ , $7x+4=x+16$ , $13x+14=12x-5$ .

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Problem 5506

Solve the equation $-11=2n-5n+16$ and express the answer as an integer, simplified fraction, or decimal rounded to two decimal places.

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Problem 5507

7a) Find $v$ when $u=4$ and $t=3$ for $v=u+10t$ . 7b) Solve for $u$ in $v=u+10t$ . 12) Solve for $m$ in $s=\frac{hm}{4}$ .

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Problem 5508

If a quadratic equation has a negative discriminant, it has $\textbf{two complex solutions}$ .

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Problem 5509

Solve for the value of $y$ such that $6 \geq 18 - 2y$ .

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Problem 5510

Solve for $r$ where $-1 r-5 < -4$ .

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Problem 5511

Solve for $8x+7$ given $4x+9=10$ . Options: (A) 2, (B) 9, (C) 15, (D) 20, (E) 27.

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Problem 5512

Find the value of the expression $5x + 5x$ .

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Problem 5513

Solve the rational equation $\frac{x-2}{2x} + 1 = \frac{x+1}{x}$ . Find the value(s) of $x$ that make the denominator(s) zero, which are the $\varnothing$ restrictions on the variable.

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Problem 5514

Find the amount of type A coffee used in a 158-pound coffee blend that costs $815.60 total, given type A costs$ 5.80/lb and type B costs $4.60/lb.

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Problem 5515

Find the expressions for $(r \cdot s)(x)$ and $(r+s)(x)$ , then evaluate $(r-s)(3)$ .

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Problem 5516

Solve the linear equation $2x - 9y = -38$ and find the value of $y$ when $x = -10$ .

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Problem 5517

Find rational roots of $f(x) = 2x^3 - 4x^2 - 8x + 16$ . Determine $y$ -intercept and sketch graph crossing all intercepts.

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Problem 5518

Luke swam $3 \times 45 = 135$ meters in 45 seconds. The point on the line is (45, $135$ ).

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Problem 5519

Solve the linear equation $-8y - 6 = -2y$ and simplify the solution.

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Problem 5520

Find the value of $p$ using the equation $6\left(\frac{d}{3}-5\right)=34$ . Determine the final operation needed if you apply the Distributive Property first.

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Problem 5521

Solve for $x$ in the equation $4-5x = -5x+4$ , if possible. Check the solution.

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Problem 5522

Solve the linear equation $-x + 7y = 8$ and find the value of $y$ when $x = 6$ .

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Problem 5523

Find the value of $4 \times 3^3$ by expressing it as a single term with a coefficient and power.

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Problem 5524

Solve the linear equation $2.1(16y - 10.3) = 18.42y - 36.81$ to find the value of $y$ .

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Problem 5525

Solve for the side length of an equilateral triangle fence with a perimeter of $183 \mathrm{cm}$ after increasing each side by $7 \mathrm{cm}$ .
a) $s + 7 + s + 7 + s + 7 = 183$ b) Determine the length of each side of the old fence.

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Problem 5526

Find the width of a storage container with length 14.7 cm and width $3.5 \times$ length.

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Problem 5527

Find the solution to the inequality $\log_{10}x > \log_{10}(x-1)$ .

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Problem 5528

Solve the absolute value equation $|x-4|=4$ for the value(s) of $x$ .

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Problem 5529

Find the value of $y$ given the equation $y=4-(-2^{2})$ .

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Problem 5530

Solve the equation $129=15x+9$ . (1 point)

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Problem 5531

Find the value of $a$ that satisfies the equation $-(a-3)+2a=-12$ .

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Problem 5532

Find the missing binomial term to complete the factorization: $2s^{4} - 2s = 2s(s^{2} + s + 1)$ .

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Problem 5533

Find the time to fill a vat with two pipes, one filling in 3 hours, the other emptying in 8 hours, when both are left open.

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Problem 5534

Solve for x in the linear equation $6x + 5 = 47$ .

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Problem 5535

Find the x-intercepts of the function $y=-2(x-1)(x+5)$ .

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Problem 5536

Simplify $\sqrt{36 x^{18}}$ when $x>0$ .

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Problem 5537

Find the value of $-34+2(x-7)$ when $x=-1$ .

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Problem 5538

Simplify the expression $\frac{5 x}{x+3} \div \frac{x^{2}-8 x+15}{x^{2}-9}$ .

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Problem 5539

Solve for the number of large boxes shipped given the equation $3a + 4b = 25$ and that the customer had 3 small boxes shipped.

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Problem 5540

Find $z$ when $x=10$ and $y=3$ , given that $z$ varies directly as $x$ and inversely as $y^2$ , and $z=60$ when $x=8$ and $y=8$ . Round answer to two decimal places.

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Problem 5541

Find the product $\$(f \cdot g)(x)\$$ if $\$f(x)=11 x+2\$$ and $\$g(x)=5 x\$$ .

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Problem 5542

Interpret $3-(-5)$ : A) 5 left of 3 B) 5 right of 3 C) 3 left of -5 D) 3 right of -5

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Problem 5543

Find $r$ given $4r-2=r$ , then calculate $27r$ .

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Problem 5544

Find the value of the expression $|-6|-|6|-(-6)$ .

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Problem 5545

Find the roots of the equation $\sqrt{5x-1} = \sqrt{2x+5}$ using algebraic methods.

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Problem 5546

Find the value of $x$ that satisfies the equation $1=\frac{x}{2}$ .

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Problem 5547

Solve the absolute value equation $|4-2x| = 7$ and find the value of $x$ . If no roots exist, enter NA. (Round to 3 decimal places)

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Problem 5548

Solve the linear equation $-15x-14=-104$ by applying the Addition and Division Properties of Equality.

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Problem 5549

Find the values of $a$ , $b$ , y-intercept, and domain for the function $f(x)=2\left(\frac{3}{4}\right)^{x}$ .

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Problem 5550

Solve for $R$ in the equation $5 R - 1 = R$ , then find the value of $32 R$ .

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Problem 5551

Solve the equation $3.9x-10.6=1.1$ using equality properties. Select all applicable: A. Addition, B. Multiplication, C. Division, D. Subtraction.

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Problem 5552

Solve the system of linear equations to find the values of $x$ and $y$ . Substitute $y$ from the second equation into the first equation to get the resulting equation. Determine the values of $x$ and $y$ .

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Problem 5553

What is the y-intercept of the exponential function $F(x) = a \cdot b^{x}$ ?

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Problem 5554

Find the positive solution of the equation $7 x^{6/5} - 12 = 5091$ .

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Problem 5555

Ahmad bought $b$ books online for $\$ 5$ each, paid $\$ 4$ for shipping, and the total cost was $\$ 89$ . Find the number of books $b$ he bought.

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Problem 5556

Evaluate the expression $-8^{4}$ .

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Problem 5557

Find the value of $p$ that satisfies the equation $-0.65 p - 3 = 0.35 p$ .

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Problem 5558

Solve the expression $4[9+3(6 \cdot 3-4)]$ to find the missing value.

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Problem 5559

Find the least common multiple of $16 u^{8} x^{7} y^{2}$ and $6 u^{5} x^{6}$ .

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Problem 5560

Solve for y in the equation $3(4y-1) = 2(5y+1/2)$ . The solution is $y=$

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Problem 5561

Find and correct the error in the step-by-step solution to the linear equation $x-5(x+1)=3x+2$ .

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Problem 5562

Solve exponential equations, analyze errors, and explain logarithm laws. Equations: $7=(3)^{x}-2$ , $(16)^{x}=(2)^{x-2}$ . Error analysis: $5^{3x+2}=25^{x-8}$ , $\left(\frac{1}{6}\right)^{5x}=32^{x+8}$ . Logarithm laws: relation to exponential numbers, 7 laws.

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Problem 5563

Simplify the expression $5x + x$ .

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Problem 5564

Use remainder theorem to determine if $x=2$ is a zero of $p(x)=x^{3}+21 x^{2}+74 x-240$ . Find quotient and remainder.

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Problem 5565

Simplify the expression $\sqrt{5} \cdot \sqrt{12}$ using positive exponents.

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Problem 5566

Solve the linear equation $1.5 z + 4 = 2.2 z + 7.5$ by first subtracting a constant from both sides, then subtracting a variable term, and finally dividing to find $z$ .

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Problem 5567

Find the value of $(h/g)(3)$ where $g(x)=2x$ and $h(x)=x-9$ .

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Problem 5568

Simplify the expression $-3 \times (8 - 5)$ .

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Problem 5569

Find $x$ and $y$ where $2x + 3y = 5$ and $x - y = 5$ . Graph the solutions: $y = 4, -2, 2, -1$ .

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Problem 5570

Simplify the expression $y^{\frac{50}{56}}$ where $y$ is a positive real number.

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Problem 5571

Find the value of $m$ that makes the system of linear equations $y=mx-6$ and $8x-4y=12$ have no solution.

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Problem 5572

Find the value of $n$ that satisfies $\sqrt[4]{3n-11}=3$ .

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Problem 5573

Find the value of $v$ that satisfies the quadratic equation $v^2 + 18v + 9 = -8$ .

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Problem 5574

Peaches cost $2 per pound. The customer's model represents total cost$ y $based on pounds$ x $bought. The values of$ x $and$ y $are:$ x \geq 0 $,$ y \geq 0 $, and$ y = 2x$.

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Problem 5575

Interpret the slope of the regression equation $\text{Salary} = \$95,000 + \$1,280 \cdot (\text{Years})$ in the context of professor salaries.

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Problem 5576

Find the value of $Z$ in the equation $8Z=64$ .

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Problem 5577

Find the value of $2k$ when $k$ more than 7 subtracted from 18 results in 2.

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Problem 5578

Solve the polynomial $9x^3 - 12x^2 - 8x - 1 = 0$ using Rational Zero Theorem and Descartes's Rule of Signs. The solution set is { $-1, \frac{1}{3}, 1$ }.

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Problem 5579

Simplify the expression $7(-6+8)+8(-4+5)$ using the order of operations rule.

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Problem 5580

Find the product of coefficients a, b, and c when the expression $x^{-\frac{5}{4}} y^{-\frac{8}{3}} \sqrt{25 x^{4} y^{2}}$ is written in the form $a x^{b} y^{c}$ .

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Problem 5581

Solve and round to the nearest hundredth: a) $\frac{26}{b+5}=1+\frac{3}{b-2}$ , b) $\frac{c}{c+2}-3=\frac{-6}{c^{2}-4}$

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Problem 5582

If $4p=16$ , find the value of $8p+5$ .

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Problem 5583

Find the equations where $x=-26$ . Options: A. $-1.5(x+12)=21$ , B. $\square-1.2(x-9)=42$ , C. $\square-1.5(x+6)=-21$ , D. $1.25(x+7)=30$ .

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Problem 5584

Find the real number $x$ such that $x^{1/3} = -5$ . The solution is $x = -125$ .

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Problem 5585

Solve for $x$ in the equation $-15 = -\frac{5}{3}x$ . Simplify the solution.

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Problem 5586

Solve for the variable $m$ in the equation $4-\frac{m}{2}=10$ .

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Problem 5587

Find the value of $n$ in the equation $\frac{6^{8}}{6^{n}}=6^{2}$ .

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Problem 5588

Find the basic function $r(x) = (x+7)^3$ is derived from, and how it has been transformed.

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Problem 5589

Find the middle value $m$ and distance $E$ of the interval $6<\mu<24$ , then write the interval as $m \pm E$ .

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Problem 5590

Find the inverse function of $y=6^{x}$ . Options: $y=\log_{6} x$ , $y=\log_{x} 6$ , $y=\log \frac{1}{6} x$ , $y=\log_{6} 6x$ .

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Problem 5591

Find the exponential function passing through $(2,80)$ : $f(x)=4(5)^{x}$ or $f(x)=5(4)^{x}$ ?

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Problem 5592

Solve for $x$ given the equation $10=8x$ .

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Problem 5593

Find the value of $y$ when $x=4$ .

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Problem 5594

Find the value of the coefficient $C$ in the partial fraction expansion of the rational expression $(4x^2 + 6)/(x+1)$ .

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Problem 5595

Solve for s where s-14 is greater than or equal to -15. $s \geq -1$ .

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Problem 5596

Solve the system of linear equations $x-y=4$ and $x+2y=4$ for $x$ and $y$ .

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Problem 5597

Find the product of $-10x$ and 1.

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Problem 5598

Solve the quadratic equation $(x-7)^{2} = -81$ for real values of $x$ .

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Problem 5599

Solve $25=5e^{2t}$ for $t$ . Exact solution required.

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Problem 5600

Find the value of the permutation ${ }_{9} P_{5}$ .

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Algebra

Problem 5501

Find the roots of the polynomial equation 9x3+13x2=8x+159x^3 + 13x^2 = 8x + 159x3+13x2=8x+15 by factoring or using other methods.

Problem 5502

Simplify the given complex number expression and express the result in the form a+bia + bia+bi.(5+2i)2+(2−i)2(5 + 2i)^2 + (2 - i)^2(5+2i)2+(2−i)2

Problem 5503

Solve x4−34=16\frac{x}{4}-\frac{3}{4}=164x​−43​=16. Which property was used to add 34\frac{3}{4}43​ to both sides?

Problem 5504

Solve the equation 9=9x−3x+219 = 9x - 3x + 219=9x−3x+21 and express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

Problem 5505

Problem 5506

Solve the equation −11=2n−5n+16-11=2n-5n+16−11=2n−5n+16 and express the answer as an integer, simplified fraction, or decimal rounded to two decimal places.

Problem 5507

7a) Find vvv when u=4u=4u=4 and t=3t=3t=3 for v=u+10tv=u+10tv=u+10t. 7b) Solve for uuu in v=u+10tv=u+10tv=u+10t. 12) Solve for mmm in s=hm4s=\frac{hm}{4}s=4hm​.

Problem 5508

If a quadratic equation has a negative discriminant, it has two complex solutions\textbf{two complex solutions}two complex solutions.

Problem 5509

Solve for the value of yyy such that 6≥18−2y6 \geq 18 - 2y6≥18−2y.

Problem 5510

Solve for rrr where −1r−5<−4-1 r-5 < -4−1r−5<−4.

Problem 5511

Solve for 8x+78x+78x+7 given 4x+9=104x+9=104x+9=10. Options: (A) 2, (B) 9, (C) 15, (D) 20, (E) 27.

Problem 5512

Find the value of the expression 5x+5x5x + 5x5x+5x.

Problem 5513

Solve the rational equation x−22x+1=x+1x\frac{x-2}{2x} + 1 = \frac{x+1}{x}2xx−2​+1=xx+1​. Find the value(s) of xxx that make the denominator(s) zero, which are the ∅\varnothing∅ restrictions on the variable.

Problem 5514

Find the amount of type A coffee used in a 158-pound coffee blend that costs 815.60total,giventypeAcosts815.60 total, given type A costs 815.60total,giventypeAcosts5.80/lb and type B costs $4.60/lb.

Problem 5515

Find the expressions for (r⋅s)(x)(r \cdot s)(x)(r⋅s)(x) and (r+s)(x)(r+s)(x)(r+s)(x), then evaluate (r−s)(3)(r-s)(3)(r−s)(3).

Problem 5516

Solve the linear equation 2x−9y=−382x - 9y = -382x−9y=−38 and find the value of yyy when x=−10x = -10x=−10.

Problem 5517

Find rational roots of f(x)=2x3−4x2−8x+16f(x) = 2x^3 - 4x^2 - 8x + 16f(x)=2x3−4x2−8x+16. Determine yyy-intercept and sketch graph crossing all intercepts.

Problem 5518

Luke swam 3×45=1353 \times 45 = 1353×45=135 meters in 45 seconds. The point on the line is (45, 135135135).

Problem 5519

Solve the linear equation −8y−6=−2y-8y - 6 = -2y−8y−6=−2y and simplify the solution.

Problem 5520

Find the value of ppp using the equation 6(d3−5)=346\left(\frac{d}{3}-5\right)=346(3d​−5)=34. Determine the final operation needed if you apply the Distributive Property first.

Problem 5521

Solve for xxx in the equation 4−5x=−5x+44-5x = -5x+44−5x=−5x+4, if possible. Check the solution.

Problem 5522

Solve the linear equation −x+7y=8-x + 7y = 8−x+7y=8 and find the value of yyy when x=6x = 6x=6.

Problem 5523

Find the value of 4×334 \times 3^34×33 by expressing it as a single term with a coefficient and power.

Problem 5524

Solve the linear equation 2.1(16y−10.3)=18.42y−36.812.1(16y - 10.3) = 18.42y - 36.812.1(16y−10.3)=18.42y−36.81 to find the value of yyy.

Problem 5525

Solve for the side length of an equilateral triangle fence with a perimeter of 183cm183 \mathrm{cm}183cm after increasing each side by 7cm7 \mathrm{cm}7cm.a) s+7+s+7+s+7=183s + 7 + s + 7 + s + 7 = 183s+7+s+7+s+7=183 b) Determine the length of each side of the old fence.

Problem 5526

Find the width of a storage container with length 14.7 cm and width 3.5×3.5 \times3.5× length.

Problem 5527

Find the solution to the inequality log⁡10x>log⁡10(x−1)\log_{10}x > \log_{10}(x-1)log10​x>log10​(x−1).

Problem 5528

Solve the absolute value equation ∣x−4∣=4|x-4|=4∣x−4∣=4 for the value(s) of xxx.

Problem 5529

Find the value of yyy given the equation y=4−(−22)y=4-(-2^{2})y=4−(−22).

Problem 5530

Solve the equation 129=15x+9129=15x+9129=15x+9. (1 point)

Problem 5531

Find the value of aaa that satisfies the equation −(a−3)+2a=−12-(a-3)+2a=-12−(a−3)+2a=−12.

Problem 5532

Find the missing binomial term to complete the factorization: 2s4−2s=2s(s2+s+1)2s^{4} - 2s = 2s(s^{2} + s + 1)2s4−2s=2s(s2+s+1).

Problem 5533

Find the time to fill a vat with two pipes, one filling in 3 hours, the other emptying in 8 hours, when both are left open.

Problem 5534

Solve for x in the linear equation 6x+5=476x + 5 = 476x+5=47.

Problem 5535

Find the x-intercepts of the function y=−2(x−1)(x+5)y=-2(x-1)(x+5)y=−2(x−1)(x+5).

Problem 5536

Simplify 36x18\sqrt{36 x^{18}}36x18​ when x>0x>0x>0.

Problem 5537

Find the value of −34+2(x−7)-34+2(x-7)−34+2(x−7) when x=−1x=-1x=−1.

Problem 5538

Simplify the expression 5xx+3÷x2−8x+15x2−9\frac{5 x}{x+3} \div \frac{x^{2}-8 x+15}{x^{2}-9}x+35x​÷x2−9x2−8x+15​.

Problem 5539

Solve for the number of large boxes shipped given the equation 3a+4b=253a + 4b = 253a+4b=25 and that the customer had 3 small boxes shipped.

Problem 5540

Find zzz when x=10x=10x=10 and y=3y=3y=3, given that zzz varies directly as xxx and inversely as y2y^2y2, and z=60z=60z=60 when x=8x=8x=8 and y=8y=8y=8. Round answer to two decimal places.

Find the roots of the polynomial equation $9x^3 + 13x^2 = 8x + 15$ by factoring or using other methods.

Simplify the given complex number expression and express the result in the form $a + bi$ .
$(5 + 2i)^2 + (2 - i)^2$

Solve $\frac{x}{4}-\frac{3}{4}=16$ . Which property was used to add $\frac{3}{4}$ to both sides?

Solve the equation $9 = 9x - 3x + 21$ and express the solution as an integer, simplified fraction, or decimal rounded to two decimal places.

Solve the equation $-11=2n-5n+16$ and express the answer as an integer, simplified fraction, or decimal rounded to two decimal places.

7a) Find $v$ when $u=4$ and $t=3$ for $v=u+10t$ . 7b) Solve for $u$ in $v=u+10t$ . 12) Solve for $m$ in $s=\frac{hm}{4}$ .

If a quadratic equation has a negative discriminant, it has $\textbf{two complex solutions}$ .

Solve for the value of $y$ such that $6 \geq 18 - 2y$ .

Solve for $r$ where $-1 r-5 < -4$ .

Solve for $8x+7$ given $4x+9=10$ . Options: (A) 2, (B) 9, (C) 15, (D) 20, (E) 27.

Find the value of the expression $5x + 5x$ .

Solve the rational equation $\frac{x-2}{2x} + 1 = \frac{x+1}{x}$ . Find the value(s) of $x$ that make the denominator(s) zero, which are the $\varnothing$ restrictions on the variable.

Find the amount of type A coffee used in a 158-pound coffee blend that costs $815.60 total, given type A costs$ 5.80/lb and type B costs $4.60/lb.

Find the expressions for $(r \cdot s)(x)$ and $(r+s)(x)$ , then evaluate $(r-s)(3)$ .

Solve the linear equation $2x - 9y = -38$ and find the value of $y$ when $x = -10$ .

Find rational roots of $f(x) = 2x^3 - 4x^2 - 8x + 16$ . Determine $y$ -intercept and sketch graph crossing all intercepts.

Luke swam $3 \times 45 = 135$ meters in 45 seconds. The point on the line is (45, $135$ ).

Solve the linear equation $-8y - 6 = -2y$ and simplify the solution.

Find the value of $p$ using the equation $6\left(\frac{d}{3}-5\right)=34$ . Determine the final operation needed if you apply the Distributive Property first.

Solve for $x$ in the equation $4-5x = -5x+4$ , if possible. Check the solution.

Solve the linear equation $-x + 7y = 8$ and find the value of $y$ when $x = 6$ .

Find the value of $4 \times 3^3$ by expressing it as a single term with a coefficient and power.

Solve the linear equation $2.1(16y - 10.3) = 18.42y - 36.81$ to find the value of $y$ .

Solve for the side length of an equilateral triangle fence with a perimeter of $183 \mathrm{cm}$ after increasing each side by $7 \mathrm{cm}$ .
a) $s + 7 + s + 7 + s + 7 = 183$ b) Determine the length of each side of the old fence.

Find the width of a storage container with length 14.7 cm and width $3.5 \times$ length.

Find the solution to the inequality $\log_{10}x > \log_{10}(x-1)$ .

Solve the absolute value equation $|x-4|=4$ for the value(s) of $x$ .

Find the value of $y$ given the equation $y=4-(-2^{2})$ .

Solve the equation $129=15x+9$ . (1 point)

Find the value of $a$ that satisfies the equation $-(a-3)+2a=-12$ .

Find the missing binomial term to complete the factorization: $2s^{4} - 2s = 2s(s^{2} + s + 1)$ .

Solve for x in the linear equation $6x + 5 = 47$ .

Find the x-intercepts of the function $y=-2(x-1)(x+5)$ .

Simplify $\sqrt{36 x^{18}}$ when $x>0$ .

Find the value of $-34+2(x-7)$ when $x=-1$ .

Simplify the expression $\frac{5 x}{x+3} \div \frac{x^{2}-8 x+15}{x^{2}-9}$ .

Solve for the number of large boxes shipped given the equation $3a + 4b = 25$ and that the customer had 3 small boxes shipped.

Find $z$ when $x=10$ and $y=3$ , given that $z$ varies directly as $x$ and inversely as $y^2$ , and $z=60$ when $x=8$ and $y=8$ . Round answer to two decimal places.

Find the product $\$(f \cdot g)(x)\$$ if $\$f(x)=11 x+2\$$ and $\$g(x)=5 x\$$ .

Interpret $3-(-5)$ : A) 5 left of 3 B) 5 right of 3 C) 3 left of -5 D) 3 right of -5

Find $r$ given $4r-2=r$ , then calculate $27r$ .

Find the value of the expression $|-6|-|6|-(-6)$ .

Find the roots of the equation $\sqrt{5x-1} = \sqrt{2x+5}$ using algebraic methods.

Find the value of $x$ that satisfies the equation $1=\frac{x}{2}$ .

Solve the absolute value equation $|4-2x| = 7$ and find the value of $x$ . If no roots exist, enter NA. (Round to 3 decimal places)

Solve the linear equation $-15x-14=-104$ by applying the Addition and Division Properties of Equality.

Find the values of $a$ , $b$ , y-intercept, and domain for the function $f(x)=2\left(\frac{3}{4}\right)^{x}$ .

Solve for $R$ in the equation $5 R - 1 = R$ , then find the value of $32 R$ .

Solve the equation $3.9x-10.6=1.1$ using equality properties. Select all applicable: A. Addition, B. Multiplication, C. Division, D. Subtraction.

Solve the system of linear equations to find the values of $x$ and $y$ . Substitute $y$ from the second equation into the first equation to get the resulting equation. Determine the values of $x$ and $y$ .

What is the y-intercept of the exponential function $F(x) = a \cdot b^{x}$ ?

Find the positive solution of the equation $7 x^{6/5} - 12 = 5091$ .

Ahmad bought $b$ books online for $\$ 5$ each, paid $\$ 4$ for shipping, and the total cost was $\$ 89$ . Find the number of books $b$ he bought.

Evaluate the expression $-8^{4}$ .

Find the value of $p$ that satisfies the equation $-0.65 p - 3 = 0.35 p$ .

Solve the expression $4[9+3(6 \cdot 3-4)]$ to find the missing value.

Find the least common multiple of $16 u^{8} x^{7} y^{2}$ and $6 u^{5} x^{6}$ .

Solve for y in the equation $3(4y-1) = 2(5y+1/2)$ . The solution is $y=$

Find and correct the error in the step-by-step solution to the linear equation $x-5(x+1)=3x+2$ .

Simplify the expression $5x + x$ .

Use remainder theorem to determine if $x=2$ is a zero of $p(x)=x^{3}+21 x^{2}+74 x-240$ . Find quotient and remainder.

Simplify the expression $\sqrt{5} \cdot \sqrt{12}$ using positive exponents.

Solve the linear equation $1.5 z + 4 = 2.2 z + 7.5$ by first subtracting a constant from both sides, then subtracting a variable term, and finally dividing to find $z$ .

Find the value of $(h/g)(3)$ where $g(x)=2x$ and $h(x)=x-9$ .

Simplify the expression $-3 \times (8 - 5)$ .

Find $x$ and $y$ where $2x + 3y = 5$ and $x - y = 5$ . Graph the solutions: $y = 4, -2, 2, -1$ .

Simplify the expression $y^{\frac{50}{56}}$ where $y$ is a positive real number.

Find the value of $m$ that makes the system of linear equations $y=mx-6$ and $8x-4y=12$ have no solution.

Find the value of $n$ that satisfies $\sqrt[4]{3n-11}=3$ .

Find the value of $v$ that satisfies the quadratic equation $v^2 + 18v + 9 = -8$ .