Browse Math problems in the Studdy Learning Bank!

Problem 7301

Solve $3(t^2 - 9)^2 + 16(t^2 - 9) = -5$ using substitution. Select the correct solution set.

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Problem 7302

Find the coordinates of point B(-4,6) after a dilation of scale factor 2 centered at the origin.
A.) $B^{\prime}(-2,3)$ B.) $B^{\prime}(-8,-12)$ C.) $B^{\prime}(4,12)$ D.) $B^{\prime}(-8,12)$

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Problem 7303

Find the absolute value of $w$ given $|w| = 5$ .

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Problem 7304

Solve for $y$ in simplest radical form: $x^2 + y^2 + 2x - 3y + 4 = 0$

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Problem 7305

Find the solution set for the inequality $7x > 43$ . Which answer choice correctly represents all values of $x$ that satisfy this inequality?

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Problem 7306

Solve for $x$ where $-9=\frac{6}{x}$ . Simplify the solution.

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Problem 7307

To model Gracie's running, write an equation where she runs 23 miles in the first half and a total of 50 miles by the end of the semester. The correct equation is: $x-23=50$ .

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Problem 7308

Find the amount of pineapple juice needed for a punch with a $4:3$ ratio of orange to pineapple juice, given $64$ oz of orange juice.

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Problem 7309

Determine the amount of $100\%$ antifreeze needed to replace the $20\%$ solution in a radiator to achieve a $40\%$ antifreeze solution.

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Problem 7310

Find the equation $y=mx$ for the proportional relationship passing through the points $(2,-15)$ and $(6,-45)$ .

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Problem 7311

Determine equation for total cost $c$ (in $) of pizza with$ t $toppings, where base cost is$ \ $5$ and each topping costs $\$ 1.50$ .

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Problem 7312

Simplify $3^{-4}$ and express the result as a whole number or reduced fraction.

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Problem 7313

Graph a right triangle with vertices at $(-5,-1)$ and $(-8,-4)$ . Find the distance between the vertices in simplest radical form.

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Problem 7314

Find the sum of the first 10 terms of the arithmetic sequence $40, 37, 34, 31, \ldots$

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Problem 7315

Estimate and solve for x in equations: a) $35=5(3^{x})$ , b) $117=3\times2^{x}$ , c) $1000=500(1+0.08)^{x}$ , d) $45=100(1/2)^{x}$ . Round answers to 3 decimal places.

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Problem 7316

Solve the absolute value equation $-3|x| = 15$ to find the value of $x$ .

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Problem 7317

Determine if the given system of linear equations with $y=\frac{1}{2}x-4$ and $y=\frac{1}{2}x+3$ has a unique solution, no solution, or infinitely many solutions.

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Problem 7318

Kendra wants to buy an iced tea at the cinema. A small cup has 12 oz and costs $\$ 1.68$ . A medium cup has 16 oz and costs $\$ 2.40$ . ¿Qué tamaño tiene la mejor oferta?

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Problem 7319

A family buys a studio apartment for $\$ 200,000$ . They pay a down payment of $\$ 20,000$ . What percent of the purchase price is the down payment?

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Problem 7320

Solve for $x$ in the equation $\frac{x}{5} = \frac{8}{10}$ .

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Problem 7321

Simplify the equation $5+8+2=5+2+8$ to verify the commutative property of addition.

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Problem 7322

Find the points of intersection of the given pairs of linear and quadratic equations: $y=x^{2}+4 x+3, y=5 x+9$ and $y=-x^{2}-4 x+6, y=x-8$ .

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Problem 7323

Décrivez et dessinez la surface dans $\mathbb{R}^{3}$ représentée par l'équation $x + y = 2$ .

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Problem 7324

Solve for x in the following linear equations: $-1=\frac{-3+x}{14}$ , $-5+\frac{x}{2}=-17$ , $33=-7x-23$ , $\frac{1}{2}x-9=6$ , $6+5x=6$ , $-9x+1=-80$ , $-186=12+11x$ , $\frac{x+2}{3}=-5$ , $8x-11=-283$ , $-116=-11+7x$ .

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Problem 7325

Find the coordinates of the other endpoint of $\overline{GH}$ given the midpoint $M(8,0)$ and one endpoint $H(-2,9)$ .

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Problem 7326

Zadanie 5. Given $\mathcal{A}=\{(1,4),(1,5)\}, \mathcal{B}=\{(2,1),(5,2)\}$ and linear transformation $\varphi: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ with $M(\varphi)_{\mathcal{A}}^{\mathcal{B}}=\left[\begin{array}{ll}1 & 0 \\ 2 & 3\end{array}\right]$ , find $M(\varphi \circ \varphi)_{\mathcal{A}}^{\mathcal{B}}$ .

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Problem 7327

Solve the linear equation $9 = 5n + 6 - 6n$ for the value of $n$ .

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Problem 7328

Solve the linear equation $1.5x + 3.9 = 8.4$ by subtracting 3.9 and dividing by 1.5.

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Problem 7329

Find the value of $g$ given the equation $A = g q$ .

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Problem 7330

Find the complement of the union of sets A and B, where $A=\{2,4,6\}$ , $B=\{1,2,3,5,7\}$ , and $U=\{1,2,3,4,5,6,7\}$ .

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Problem 7331

Find the range of the set $A = \{(2,1), (2,3), (-1,4), (1,1)\}$ .

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Problem 7332

Find the value of $x$ that satisfies the equation $-\frac{3}{2} + 2 = x$ .

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Problem 7333

Find the value of $x$ in the equation $14 = 2x$ .

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Problem 7334

Simplify $\sqrt{121 z^{2}}$

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Problem 7335

Explain the error in the student's claim that since $x^{2}-5 x-6$ has two negative terms, both factors of $c$ will be negative.

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Problem 7336

Determine if the ratio $\frac{x}{r}$ is positive or negative given the point $(x, y)$ is in the indicated quadrant.

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Problem 7337

Find the difference between $4x$ and $x^4$ . Evaluate both expressions when $x=2$ .

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Problem 7338

1. Match function rules to invalid inputs: A. 3/x, B. (x+4)/3, C. 1/(x-3). Invalid inputs: 1. 0, 2. -4, 3. 1.
2. Find $x$ that satisfies $-(-2x+1)=9-14x$ . Explain and check the solution.

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Problem 7339

Find the value of $\frac{9}{10}-\frac{3}{5}$ . Show your work to solve this arithmetic expression.

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Problem 7340

Graph the line through points $(-6,-2)$ and $(6,10)$ . Write the line equation $y=mx+b$ .

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Problem 7341

Solve for the value of $d$ such that $9.01 < d + 2$ .

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Problem 7342

Solve the linear equation $x=4(8+5x)$ for the value of $x$ .

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Problem 7343

Multiply by $1/2$ : Is that the same as multiplying by 2, dividing by 2, subtracting 2, or adding 2?

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Problem 7344

Find the solution set for the inequality $(x-2)(x+1)(x-4) \geq 0$ . The solution set is $[-1,2],[4, \infty)$ .

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Problem 7345

Find the value of $7 \div \frac{1}{4}$ and explain the reasoning.

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Problem 7346

Approximate $12^{\frac{2}{3}}$ using a calculator and select the correct answer.

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Problem 7347

Find $A$ given $l=6$ and $w=7$ using the equation $A=l w$ .

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Problem 7348

Solve for $x$ in the linear equation $p-0.8x=18$ .

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Problem 7349

Simplify the expression $9x^{2} + 30x + 25$ .

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Problem 7350

Simplify the expression $9 w^{2} + 9 w + 2$ .

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Problem 7351

Solve the equation $-3=-|c+4|+5$ . The solution set is

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Problem 7352

Determine if the following statements are always, sometimes, or never true: (a) $\text{Two nonintersecting lines are parallel.}$ (b) $\text{Two points are collinear.}$ (c) $\text{Three collinear points determine exactly one plane.}$

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Problem 7353

Find the equation that represents "The product of 3 and the difference of a number and 10 is 15". Options: $3(x-10)=15$ , $3x-10=15$ , $3+(x-10)=15$ , $3\frac{x}{10}=15$

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Problem 7354

Solve the equation $\frac{3}{7} x + 5 = 8$ to find the value of $x$ .

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Problem 7355

Find the probability that Victoria's next bowling score, which is normally distributed with $\mu=130$ and $\sigma=11$ , falls between 123 and 130. Round the answer to the nearest whole percent.

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Problem 7356

Find the largest value of the expressions $2f$ , $f+2$ , $\frac{f}{2}$ , and $f-2$ when $f=8$ .

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Problem 7357

Find the decay equation from the options: $y=6\left(\frac{1}{3}\right)^{x}$ , $y=\frac{1}{2}(3)^{x}$ , $y=3^{x}-4$ , $y=2(4)^{x}$ .

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Problem 7358

Estimate the value of $-18 \frac{1}{4} \div 2 \frac{2}{3}$ .

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Problem 7359

Solve the linear equation $8c + 2(3c + 3) = 12$ and find the solution set.
Part 1 of 2 Identify as an expression or an equation. This is an equation.
Part 2 of 2 The solution set is $c = 1$ .

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Problem 7360

Estimate a 15% tip on a $\$ 89.68$ dinner bill by rounding to the nearest $\$ 90$ . Estimated tip $\$ \square$

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Problem 7361

Sketch the area under the curve $\sqrt{64-x^{2}}$ from $x=0$ to $x=8$ , then compute the integral using geometry.

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Problem 7362

Evaluate limits and find horizontal asymptotes of $f(x) = \frac{5 x^{3}-9}{x^{4}+7 x^{2}}$ . Determine $\lim_{x \to \infty} f(x)$ , $\lim_{x \to -\infty} f(x)$ , and the horizontal asymptotes of $f(x)$ .

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Problem 7363

Find the quotient of $x - 2$ divided by $x^{3} - 5x^{2} - x - 10$ .

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Problem 7364

Evaluate $3(x-7)+5$ when $x=9$ .

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Problem 7365

Find the equation for a line with the equation $y=x$ .

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Problem 7366

Solve the equation $4p + 25 = 6(p - 3) - 3(4 - 3p)$ .

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Problem 7367

Describe a system of equations to solve for how long it takes two worker groups painting a bridge at different rates to paint the same amount, and how much each group will have painted.
$x$ = days until equal painting, $y$ = km painted by each group Group 1: 3 km + 2 km/day * $x$ days = $y$ km Group 2: 1 km + 4 km/day * $x$ days = $y$ km

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Problem 7368

Solve the equation $3=3n-3$ . The solution set is $\{1\}$ .

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Problem 7369

Simplify the expression $5+W-7.5W-\frac{1}{2}$ by adding or subtracting like terms.

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Problem 7370

Find the expression equivalent to $63.56+(-81.47)$ .

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Problem 7371

Find the weight (in pounds) of an airplane carrying $45$ gallons of fuel, given that its weight is a linear function of the amount of fuel (in gallons), and the weights are $2028$ pounds with $20$ gallons and $2124$ pounds with $35$ gallons.

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Problem 7372

Determine the value of "a" in the equation $y = a x(x - 6)$ by substituting the vertex point $(25, 3)$ . Round "a" to one decimal place.

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Problem 7373

Find the number of solutions to the equation $6-7j=-8j$ .

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Problem 7374

Find the slope of the normal line to the curve $f(x)=x+\frac{9}{x}$ at $x=-1$ .

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Problem 7375

Solve the rational equation $3x^{2/3} - 4 = 8$ .

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Problem 7376

Find the number of boys in a club where there are 25% more girls than boys, and the difference between the number of girls and boys is 36.

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Problem 7377

Graph the equation $x=7$ by plotting points. Determine the domain and range.

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Problem 7378

Find the derivative of $y=x \ln (\ln (x))$ evaluated at $x=e$ .

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Problem 7379

Solve for $x$ in the equation $6-3x=5x-10x+10$ . (Type an integer or a simplified fraction.)

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Problem 7380

Encuentra el valor de $x$ que satisface la ecuación $\frac{x}{4}=\frac{4}{8}$ .

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Problem 7381

Solve for $x$ in the equation ${ }_{n} P_{4}=4{ }_{n-1} P_{3}$ , where ${ }_{n} P_{k}$ represents the number of permutations of $k$ items from a set of $n$ items.

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Problem 7382

Find the value of $(5 x)^{0}$ .

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Problem 7383

Solve for $r$ in terms of $s, t, u$ , and $v$ where $u r=-t v s$ and $r=$ .

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Problem 7384

Find the probability of observing 3 successes in 8 Bernoulli trials with $p=0.5$ .

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Problem 7385

Find the value of $3+(-9)$ .

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Problem 7386

Solve the linear equation $\frac{1}{7} y = 3$ for $y$ . Find the values of the given expressions.

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Problem 7387

Verwende die pq-Formel, um die Gleichung $x^{2}-6 x+8=0$ zu lösen.

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Problem 7388

Solve the equation $3(2x+1) = 2x-1$ , showing all work.

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Problem 7389

Find the quadratic equation in vertex form that models a soccer ball's path, given it clears a 2 m fence and lands 3 m from it.

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Problem 7390

Find the values of $a$ for which the $2 \times 2$ matrix $\begin{bmatrix} 2-a & 4 \\ 3 & 3-a \end{bmatrix}$ is singular.

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Problem 7391

Simplify the expression $20 x^{2} y - 28 x$ .

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Problem 7392

Find the real numbers $x$ that satisfy the equation $|x| = 25.8$ .

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Problem 7393

Find the formula for $C$ as a function of $G$ if $C$ is proportional to $G^2$ and $C=40$ when $G=5$ . Then use the formula to find $G$ when $C=10$ .
$\mathbf{C} = kG^2$ $k = 40/5^2 = 1.6$ $G = \sqrt{10/1.6} = 2.5$

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Problem 7394

Find the product using place value: $5 \times 70 = 5 \times \square \text { tens } = 35 \text { tens }$

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Problem 7395

Solve the equation $x-2=10$ using the addition or subtraction property of equality, then check the solution.

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Problem 7396

Evaluate the expression: $31 / 4 + 43 / 12$ .

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Problem 7397

Arrange the steps to solve the equation $\frac{1}{4}(x-1)+3x=2$ .

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Problem 7398

Find the slope-intercept form of the linear equation $-5x + 15y = -30$ .

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Problem 7399

Find the value of 4 copies of $\frac{1}{5}$ .

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Problem 7400

Evaluate $(f \circ g)(1), (f \circ g)(-1), (g \circ f)(-1), (g \circ f)(0), (g \circ g)(-2), (f \circ f)(-1)$ using the given values of $\mathbf{f}(\mathbf{x})$ and $\mathbf{g}(\mathbf{x})$ .

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Math

Problem 7301

Solve 3(t2−9)2+16(t2−9)=−53(t^2 - 9)^2 + 16(t^2 - 9) = -53(t2−9)2+16(t2−9)=−5 using substitution. Select the correct solution set.

Problem 7302

Find the coordinates of point B(-4,6) after a dilation of scale factor 2 centered at the origin.A.) B′(−2,3)B^{\prime}(-2,3)B′(−2,3) B.) B′(−8,−12)B^{\prime}(-8,-12)B′(−8,−12) C.) B′(4,12)B^{\prime}(4,12)B′(4,12) D.) B′(−8,12)B^{\prime}(-8,12)B′(−8,12)

Problem 7303

Find the absolute value of www given ∣w∣=5|w| = 5∣w∣=5.

Problem 7304

Solve for yyy in simplest radical form: x2+y2+2x−3y+4=0x^2 + y^2 + 2x - 3y + 4 = 0x2+y2+2x−3y+4=0

Problem 7305

Find the solution set for the inequality 7x>437x > 437x>43. Which answer choice correctly represents all values of xxx that satisfy this inequality?

Problem 7306

Solve for xxx where −9=6x-9=\frac{6}{x}−9=x6​. Simplify the solution.

Problem 7307

To model Gracie's running, write an equation where she runs 23 miles in the first half and a total of 50 miles by the end of the semester. The correct equation is: x−23=50x-23=50x−23=50.

Problem 7308

Find the amount of pineapple juice needed for a punch with a 4:34:34:3 ratio of orange to pineapple juice, given 646464 oz of orange juice.

Problem 7309

Determine the amount of 100%100\%100% antifreeze needed to replace the 20%20\%20% solution in a radiator to achieve a 40%40\%40% antifreeze solution.

Problem 7310

Find the equation y=mxy=mxy=mx for the proportional relationship passing through the points (2,−15)(2,-15)(2,−15) and (6,−45)(6,-45)(6,−45).

Problem 7311

Determine equation for total cost ccc (in )ofpizzawith) of pizza with )ofpizzawithttoppings,wherebasecostis toppings, where base cost is toppings,wherebasecostis\5 55 and each topping costs $1.50\$ 1.50$1.50.

Problem 7312

Simplify 3−43^{-4}3−4 and express the result as a whole number or reduced fraction.

Problem 7313

Graph a right triangle with vertices at (−5,−1)(-5,-1)(−5,−1) and (−8,−4)(-8,-4)(−8,−4). Find the distance between the vertices in simplest radical form.

Problem 7314

Find the sum of the first 10 terms of the arithmetic sequence 40,37,34,31,…40, 37, 34, 31, \ldots40,37,34,31,…

Problem 7315

Estimate and solve for x in equations: a) 35=5(3x)35=5(3^{x})35=5(3x), b) 117=3×2x117=3\times2^{x}117=3×2x, c) 1000=500(1+0.08)x1000=500(1+0.08)^{x}1000=500(1+0.08)x, d) 45=100(1/2)x45=100(1/2)^{x}45=100(1/2)x. Round answers to 3 decimal places.

Problem 7316

Solve the absolute value equation −3∣x∣=15-3|x| = 15−3∣x∣=15 to find the value of xxx.

Problem 7317

Determine if the given system of linear equations with y=12x−4y=\frac{1}{2}x-4y=21​x−4 and y=12x+3y=\frac{1}{2}x+3y=21​x+3 has a unique solution, no solution, or infinitely many solutions.

Problem 7318

Kendra wants to buy an iced tea at the cinema. A small cup has 12 oz and costs $1.68\$ 1.68$1.68. A medium cup has 16 oz and costs $2.40\$ 2.40$2.40. ¿Qué tamaño tiene la mejor oferta?

Problem 7319

A family buys a studio apartment for $200,000\$ 200,000$200,000. They pay a down payment of $20,000\$ 20,000$20,000. What percent of the purchase price is the down payment?

Problem 7320

Solve for xxx in the equation x5=810\frac{x}{5} = \frac{8}{10}5x​=108​.

Problem 7321

Simplify the equation 5+8+2=5+2+85+8+2=5+2+85+8+2=5+2+8 to verify the commutative property of addition.

Problem 7322

Find the points of intersection of the given pairs of linear and quadratic equations: y=x2+4x+3,y=5x+9y=x^{2}+4 x+3, y=5 x+9y=x2+4x+3,y=5x+9 and y=−x2−4x+6,y=x−8y=-x^{2}-4 x+6, y=x-8y=−x2−4x+6,y=x−8.

Problem 7323

Décrivez et dessinez la surface dans R3\mathbb{R}^{3}R3 représentée par l'équation x+y=2x + y = 2x+y=2.

Problem 7324

Problem 7325

Find the coordinates of the other endpoint of GH‾\overline{GH}GH given the midpoint M(8,0)M(8,0)M(8,0) and one endpoint H(−2,9)H(-2,9)H(−2,9).

Problem 7326

Problem 7327

Solve the linear equation 9=5n+6−6n9 = 5n + 6 - 6n9=5n+6−6n for the value of nnn.

Problem 7328

Solve the linear equation 1.5x+3.9=8.41.5x + 3.9 = 8.41.5x+3.9=8.4 by subtracting 3.9 and dividing by 1.5.

Problem 7329

Find the value of ggg given the equation A=gqA = g qA=gq.

Problem 7330

Find the complement of the union of sets A and B, where A={2,4,6}A=\{2,4,6\}A={2,4,6}, B={1,2,3,5,7}B=\{1,2,3,5,7\}B={1,2,3,5,7}, and U={1,2,3,4,5,6,7}U=\{1,2,3,4,5,6,7\}U={1,2,3,4,5,6,7}.

Problem 7331

Find the range of the set A={(2,1),(2,3),(−1,4),(1,1)}A = \{(2,1), (2,3), (-1,4), (1,1)\}A={(2,1),(2,3),(−1,4),(1,1)}.

Problem 7332

Find the value of xxx that satisfies the equation −32+2=x-\frac{3}{2} + 2 = x−23​+2=x.

Problem 7333

Find the value of xxx in the equation 14=2x14 = 2x14=2x.

Problem 7334

Simplify 121z2\sqrt{121 z^{2}}121z2​

Problem 7335

Explain the error in the student's claim that since x2−5x−6x^{2}-5 x-6x2−5x−6 has two negative terms, both factors of ccc will be negative.

Problem 7336

Determine if the ratio xr\frac{x}{r}rx​ is positive or negative given the point (x,y)(x, y)(x,y) is in the indicated quadrant.

Problem 7337

Find the difference between 4x4x4x and x4x^4x4. Evaluate both expressions when x=2x=2x=2.

Problem 7338

1. Match function rules to invalid inputs: A. 3/x, B. (x+4)/3, C. 1/(x-3). Invalid inputs: 1. 0, 2. -4, 3. 1.2. Find xxx that satisfies −(−2x+1)=9−14x-(-2x+1)=9-14x−(−2x+1)=9−14x. Explain and check the solution.

Problem 7339

Find the value of 910−35\frac{9}{10}-\frac{3}{5}109​−53​. Show your work to solve this arithmetic expression.

Problem 7340

Graph the line through points (−6,−2)(-6,-2)(−6,−2) and (6,10)(6,10)(6,10). Write the line equation y=mx+by=mx+by=mx+b.

Problem 7341

Solve $3(t^2 - 9)^2 + 16(t^2 - 9) = -5$ using substitution. Select the correct solution set.

Find the coordinates of point B(-4,6) after a dilation of scale factor 2 centered at the origin.
A.) $B^{\prime}(-2,3)$ B.) $B^{\prime}(-8,-12)$ C.) $B^{\prime}(4,12)$ D.) $B^{\prime}(-8,12)$

Find the absolute value of $w$ given $|w| = 5$ .

Solve for $y$ in simplest radical form: $x^2 + y^2 + 2x - 3y + 4 = 0$

Find the solution set for the inequality $7x > 43$ . Which answer choice correctly represents all values of $x$ that satisfy this inequality?

Solve for $x$ where $-9=\frac{6}{x}$ . Simplify the solution.

To model Gracie's running, write an equation where she runs 23 miles in the first half and a total of 50 miles by the end of the semester. The correct equation is: $x-23=50$ .

Find the amount of pineapple juice needed for a punch with a $4:3$ ratio of orange to pineapple juice, given $64$ oz of orange juice.

Determine the amount of $100\%$ antifreeze needed to replace the $20\%$ solution in a radiator to achieve a $40\%$ antifreeze solution.

Find the equation $y=mx$ for the proportional relationship passing through the points $(2,-15)$ and $(6,-45)$ .

Determine equation for total cost $c$ (in $) of pizza with$ t $toppings, where base cost is$ \ $5$ and each topping costs $\$ 1.50$ .

Simplify $3^{-4}$ and express the result as a whole number or reduced fraction.

Graph a right triangle with vertices at $(-5,-1)$ and $(-8,-4)$ . Find the distance between the vertices in simplest radical form.

Find the sum of the first 10 terms of the arithmetic sequence $40, 37, 34, 31, \ldots$

Estimate and solve for x in equations: a) $35=5(3^{x})$ , b) $117=3\times2^{x}$ , c) $1000=500(1+0.08)^{x}$ , d) $45=100(1/2)^{x}$ . Round answers to 3 decimal places.

Solve the absolute value equation $-3|x| = 15$ to find the value of $x$ .

Determine if the given system of linear equations with $y=\frac{1}{2}x-4$ and $y=\frac{1}{2}x+3$ has a unique solution, no solution, or infinitely many solutions.

Kendra wants to buy an iced tea at the cinema. A small cup has 12 oz and costs $\$ 1.68$ . A medium cup has 16 oz and costs $\$ 2.40$ . ¿Qué tamaño tiene la mejor oferta?

A family buys a studio apartment for $\$ 200,000$ . They pay a down payment of $\$ 20,000$ . What percent of the purchase price is the down payment?

Solve for $x$ in the equation $\frac{x}{5} = \frac{8}{10}$ .

Simplify the equation $5+8+2=5+2+8$ to verify the commutative property of addition.

Find the points of intersection of the given pairs of linear and quadratic equations: $y=x^{2}+4 x+3, y=5 x+9$ and $y=-x^{2}-4 x+6, y=x-8$ .

Décrivez et dessinez la surface dans $\mathbb{R}^{3}$ représentée par l'équation $x + y = 2$ .

Find the coordinates of the other endpoint of $\overline{GH}$ given the midpoint $M(8,0)$ and one endpoint $H(-2,9)$ .

Solve the linear equation $9 = 5n + 6 - 6n$ for the value of $n$ .

Solve the linear equation $1.5x + 3.9 = 8.4$ by subtracting 3.9 and dividing by 1.5.

Find the value of $g$ given the equation $A = g q$ .

Find the complement of the union of sets A and B, where $A=\{2,4,6\}$ , $B=\{1,2,3,5,7\}$ , and $U=\{1,2,3,4,5,6,7\}$ .

Find the range of the set $A = \{(2,1), (2,3), (-1,4), (1,1)\}$ .

Find the value of $x$ that satisfies the equation $-\frac{3}{2} + 2 = x$ .

Find the value of $x$ in the equation $14 = 2x$ .

Simplify $\sqrt{121 z^{2}}$

Explain the error in the student's claim that since $x^{2}-5 x-6$ has two negative terms, both factors of $c$ will be negative.

Determine if the ratio $\frac{x}{r}$ is positive or negative given the point $(x, y)$ is in the indicated quadrant.

Find the difference between $4x$ and $x^4$ . Evaluate both expressions when $x=2$ .

1. Match function rules to invalid inputs: A. 3/x, B. (x+4)/3, C. 1/(x-3). Invalid inputs: 1. 0, 2. -4, 3. 1.
2. Find $x$ that satisfies $-(-2x+1)=9-14x$ . Explain and check the solution.

Find the value of $\frac{9}{10}-\frac{3}{5}$ . Show your work to solve this arithmetic expression.

Graph the line through points $(-6,-2)$ and $(6,10)$ . Write the line equation $y=mx+b$ .

Solve for the value of $d$ such that $9.01 < d + 2$ .

Solve the linear equation $x=4(8+5x)$ for the value of $x$ .

Multiply by $1/2$ : Is that the same as multiplying by 2, dividing by 2, subtracting 2, or adding 2?

Find the solution set for the inequality $(x-2)(x+1)(x-4) \geq 0$ . The solution set is $[-1,2],[4, \infty)$ .

Find the value of $7 \div \frac{1}{4}$ and explain the reasoning.

Approximate $12^{\frac{2}{3}}$ using a calculator and select the correct answer.

Find $A$ given $l=6$ and $w=7$ using the equation $A=l w$ .

Solve for $x$ in the linear equation $p-0.8x=18$ .

Simplify the expression $9x^{2} + 30x + 25$ .

Simplify the expression $9 w^{2} + 9 w + 2$ .

Solve the equation $-3=-|c+4|+5$ . The solution set is

Find the equation that represents "The product of 3 and the difference of a number and 10 is 15". Options: $3(x-10)=15$ , $3x-10=15$ , $3+(x-10)=15$ , $3\frac{x}{10}=15$

Solve the equation $\frac{3}{7} x + 5 = 8$ to find the value of $x$ .

Find the probability that Victoria's next bowling score, which is normally distributed with $\mu=130$ and $\sigma=11$ , falls between 123 and 130. Round the answer to the nearest whole percent.

Find the largest value of the expressions $2f$ , $f+2$ , $\frac{f}{2}$ , and $f-2$ when $f=8$ .

Find the decay equation from the options: $y=6\left(\frac{1}{3}\right)^{x}$ , $y=\frac{1}{2}(3)^{x}$ , $y=3^{x}-4$ , $y=2(4)^{x}$ .

Estimate the value of $-18 \frac{1}{4} \div 2 \frac{2}{3}$ .

Solve the linear equation $8c + 2(3c + 3) = 12$ and find the solution set.
Part 1 of 2 Identify as an expression or an equation. This is an equation.
Part 2 of 2 The solution set is $c = 1$ .

Estimate a 15% tip on a $\$ 89.68$ dinner bill by rounding to the nearest $\$ 90$ . Estimated tip $\$ \square$

Sketch the area under the curve $\sqrt{64-x^{2}}$ from $x=0$ to $x=8$ , then compute the integral using geometry.

Find the quotient of $x - 2$ divided by $x^{3} - 5x^{2} - x - 10$ .

Evaluate $3(x-7)+5$ when $x=9$ .

Find the equation for a line with the equation $y=x$ .

Solve the equation $4p + 25 = 6(p - 3) - 3(4 - 3p)$ .

Solve the equation $3=3n-3$ . The solution set is $\{1\}$ .

Simplify the expression $5+W-7.5W-\frac{1}{2}$ by adding or subtracting like terms.

Find the expression equivalent to $63.56+(-81.47)$ .

Find the weight (in pounds) of an airplane carrying $45$ gallons of fuel, given that its weight is a linear function of the amount of fuel (in gallons), and the weights are $2028$ pounds with $20$ gallons and $2124$ pounds with $35$ gallons.

Determine the value of "a" in the equation $y = a x(x - 6)$ by substituting the vertex point $(25, 3)$ . Round "a" to one decimal place.

Find the number of solutions to the equation $6-7j=-8j$ .

Find the slope of the normal line to the curve $f(x)=x+\frac{9}{x}$ at $x=-1$ .