Algebra

Problem 24601

Solve for $x$ in the equation: $15 x - 5 + x = -47$ . Which option is correct? A, B, C, or D?

See Solution

Problem 24602

Find the zeros of $F(x)=x^{2}+x-20$ by factoring. What are the $x$ -intercepts? A. They are: B. They are:

See Solution

Problem 24603

Solve the inequality $\frac{x}{9}+3<4$ .

See Solution

Problem 24604

Solve $8x + 4 = 4x + 16$ . What is the value of $x$ ? A. $5$ B. $1$ C. $4$ D. $3$

See Solution

Problem 24605

Find the unit vector in the direction of the sum of the vectors $\vec{a}=2 \hat{i}-\hat{j}+2 \hat{k}$ and $\vec{b}=-\hat{i}+\hat{j}+3 \hat{k}$ .

See Solution

Problem 24606

Identify 6 properties of the function $f(x)=-4.7 x^{2}+2.8 x-5$ , including ordered pairs and intervals. Number each.

See Solution

Problem 24607

Determine if the function $f(x)=-3 x^{2}+24 x-4$ has a max or min value, and find that value.

See Solution

Problem 24608

Solve: $(x+2)^{2}+4=3$

See Solution

Problem 24609

Solve the system:
y = x + 6 9x² + y² = 36
List all solutions as ordered pairs or state if there are none.

See Solution

Problem 24610

Sketch the graph of $f(x)=(x-2)^{2}+4$ . Find the axis of symmetry, domain, and range in interval notation.

See Solution

Problem 24611

A hiker walks a 0.3 mile trail. What does $n$ represent in $0.3 n=10$ ? Options: times walked, days walked, total miles.

See Solution

Problem 24612

Which group wrote the equation correctly: $5(c-9)=15(3 c)+4$ or $5 c-9=15(3 c+4)$ ? Options: Both, Neither, Group 1, Group 2.

See Solution

Problem 24613

Find the zeros of $P(x)=3x^2-108$ by factoring. What are the $x$ -intercepts? A. They are $\square$ , B. They are different: zeros $\square$ , intercepts $\square$ .

See Solution

Problem 24614

Find the zeros of the function $f(x)=x^{2}-98$ using the square root method. What are the $x$ -intercepts?

See Solution

Problem 24615

Determine if the function $f(x)=-3x^{2}+18x-3$ has a max or min value and find that value.

See Solution

Problem 24616

For the function $f(x)=x^{2}+6x+9$ , find its vertex, axis of symmetry, and intercepts. Does it open up or down?

See Solution

Problem 24617

Sketch the graph of $f(x)=(x-1)^{2}+3$ . Find the axis of symmetry, domain, and range.

See Solution

Problem 24618

Find the zeros of the function $f(x)=2x^{2}+10x+9$ using the quadratic formula. What are the $x$ -intercepts?

See Solution

Problem 24619

Maximize $P=4x+2y$ with constraints: $2x+2y \leq 10$ , $3x+y \leq 9$ , $x \geq 0$ , $y \geq 0$ .

See Solution

Problem 24620

Find the real zeros and $x$ -intercepts of $f(x)=x^{2}+10x+22$ using the quadratic formula. Options: A, B, or C.

See Solution

Problem 24621

Find the average rate of change of the quadratic function $p$ on $6 \leq x \leq 8$ given rates of -4 and -1 on other intervals. (A) 2 (B) 3 (C) 5 (D) Cannot be determined.

See Solution

Problem 24622

Graph the inequality $y \geq \frac{1}{2} x + 3$ .

See Solution

Problem 24623

Find the zeros of $f(x)=x^{2}-20$ using the square root method. What are the x-intercepts?

See Solution

Problem 24624

Determine if $f(x)$ could be linear or quadratic based on the values: $f(-2)=5$ , $f(-1)=2$ , $f(0)=1$ , $f(1)=2$ .

See Solution

Problem 24625

Find the zeros of $F(x)=x^{2}-x-56$ by factoring. What are the $x$ -intercepts?

See Solution

Problem 24626

A ball is thrown from a 64 ft building with an initial velocity of 48 ft/s. The distance is $s(t) = 64 + 48t - 16t^2$ .
(a) When does the ball hit the ground?
(b) When does it pass the building's top while descending?

See Solution

Problem 24627

Find the slope of $g(m)=13.6-0.037 m$ and explain its meaning for Bethany's fuel consumption while driving.

See Solution

Problem 24628

Maximize revenue for $R(p)=-6p^2+18,000p$ and find the unit price and maximum revenue.

See Solution

Problem 24629

Given $h(x) = g(x+1) - g(x) = -6$ , which statement about $f$ and $g$ must be true? (A, B, C, or D)

See Solution

Problem 24630

Find the zeros of $P(x)=2x^2-72$ by factoring. What are the $x$ -intercepts?

See Solution

Problem 24631

Solve the quadratic equation $x^{2}-10 x+34=0$ using the quadratic formula. Provide exact answers with radicals and $i$ .

See Solution

Problem 24632

What transformation is needed for the graph of $f(x)=x^{5}-5$ from $y=x^{5}$ ? A. left 5 B. down 5 C. up 5 D. right 5

See Solution

Problem 24633

What was the student's first step to simplify $15 j=8 j-28$ to $7 j=-28$ ?

See Solution

Problem 24634

Graph the transformed function $f(x)=(x-5)^{5}+1$ from $y=x^{5}$ . Choose the correct graph: A, B, or C.

See Solution

Problem 24635

Find the number of mangoes, $m$ , given 3 times as many oranges as mangoes, 2 more apples than mangoes, totaling 27 fruits.

See Solution

Problem 24636

Determine the end behavior of $f(x)=-7(x-3)(x+9)^{2}$ and find its real zeros.

See Solution

Problem 24637

Find the real zeros and their multiplicities for $f(x)=-7(x-3)(x+9)^{2}$ . Does the graph cross/touch the $x$ -axis? What is the end behavior?

See Solution

Problem 24638

Solve $3ax + 4ax = 5ax + 4$ for $x$ , given that $a \neq 0$ .

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Problem 24639

Find the acceptable blood pressure range for a reading of 84 with a variation of 4. Solve the equation: $|x - 84| \leq 4$ .

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Problem 24640

For the function $f(x)=-6(x-7)(x+7)^{2}$ , find real zeros, their multiplicities, graph behavior, max, and end behavior.

See Solution

Problem 24641

Given the function $f(x)=-6(x-7)(x+7)^{2}$ , find real zeros, their multiplicities, graph behavior, and end behavior.

See Solution

Problem 24642

Find the inverse of the function $f(x)=\frac{4x-1}{6x-9}$ .

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Problem 24643

For the function $f(x)=-8(x-1)(x+3)^{2}$ , find real zeros, their multiplicity, and graph behavior at $x$ -intercepts.

See Solution

Problem 24644

Identify the terms in the expression for the cost of attending a play: $45 p + 7$ .

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Problem 24645

Solve for $c$ in the equation $6 c + 1 = -2$ .

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Problem 24646

Solve for $c$ in the equation $6 c + 1 = -2$ .

See Solution

Problem 24647

Find the real zeros of $f(x)=-6\left(x^{2}+25\right)(x-5)^{3}$ and their multiplicities. Does the graph cross/touch the $x$ -axis?

See Solution

Problem 24648

Find the real zeros and their multiplicities for $f(x)=-6(x^{2}+25)(x-5)^{3}$ . Does the graph cross or touch the $x$ -axis? What is the end behavior?

See Solution

Problem 24649

For the function $f(x)=-7\left(x^{2}+9\right)(x-8)^{3}$ , find real zeros, their multiplicities, graph behavior, and end behavior.

See Solution

Problem 24650

For the function $f(x)=-7\left(x^{2}+9\right)(x-8)^{3}$ , find the real zeros, their multiplicities, and end behavior.

See Solution

Problem 24651

Find the inverse of the function $f$ given by the pairs: $(-1, 6)$ , $(0, 4)$ , $(1, 7)$ , $(2, 8)$ , $(3, 5)$ .

See Solution

Problem 24652

Solve for $x$ in the equation: $-2(x+2)-7=-3$ .

See Solution

Problem 24653

For the function $f(x)=-8\left(x^{2}+9\right)(x-7)^{3}$ , find real zeros, their multiplicity, and end behavior.

See Solution

Problem 24654

Calculate $\left(\frac{(2.1)^{5}}{(0.9)^{4}}\right)^{3}$ .

See Solution

Problem 24655

Find the inverse of the function $f(x)=12 x-2$ .

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Problem 24656

For the function $f(x)=-8\left(x^{2}+9\right)(x-7)^{3}$ , find real zeros, their multiplicities, and end behavior.

See Solution

Problem 24657

For the polynomial $f(x)=-3\left(x^{2}+9\right)(x-3)^{3}$ , find real zeros, their multiplicities, crossing behavior, and end behavior.

See Solution

Problem 24658

Find the inverse of $f(x)=\sqrt{x-5}$ for $x \geq 5$ .

See Solution

Problem 24659

Simplify $4.3 \cdot (4.3^2)^4$

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Problem 24660

Find the real zeros and their multiplicities for $f(x)=-3(x^{2}+9)(x-3)^{3}$ , and determine graph behavior.

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Problem 24661

Calculate the final score based on weights: midterm (5\%), project (15\%), homework (30\%), final (50\%). Scores: midterm 66, project 99, homework 76, final 72. What is the final score and letter grade?

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Problem 24662

Find an equivalent expression for $\left(\frac{(2.1)^{5}}{(0.9)^{4}}\right)^{3}$ .

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Problem 24663

Find the distance over which a force of 200 N does 800 J of work. Options: a. $40 \mathrm{~m}$ b. $20 \mathrm{~m}$ c. $4 \mathrm{~m}$ d. $2 \mathrm{~m}$

See Solution

Problem 24664

Find an equivalent expression for $\left(\frac{(2.1)^{5}}{(0.9)^{4}}\right)^{3}$ .

See Solution

Problem 24665

Rewrite $\left(x^{2}\right)^{3}$ as a single exponent: $\left(x^{2}\right)^{3}=x^{\square}$ . Fill in the blank.

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Problem 24666

Find the equivalent expression for $\left(\frac{(2.1)^{5}}{(0.9)^{4}}\right)^{3}$ . Options: $2.3^{3}$ , $\frac{(2.1)^{15}}{(0.9)^{12}}$ , $\frac{(2.1)^{8}}{(0.9)^{7}}$ .

See Solution

Problem 24667

For the function $f(x)=-9 x^{2}(x^{2}-2)$ , find real zeros, their multiplicities, crossing behavior, and end behavior.

See Solution

Problem 24668

Find the real zeros and their multiplicities for $f(x)=-9 x^{2}(x^{2}-2)$ . Does the graph cross or touch the $x$ -axis? What is the end behavior?

See Solution

Problem 24669

Rewrite $(2 y)^{4}$ without exponents and fill in the blank: $(2 y)^{4}=\square y$ .

See Solution

Problem 24670

Find an equivalent expression for $2^{2} \cdot 3^{4}$ .

See Solution

Problem 24671

Find an equivalent expression for $(2^{2} \cdot 3^{4})^{3}$ .

See Solution

Problem 24672

Find the real zeros and their multiplicities for $f(x)=-2 x^{2}(x^{2}-11)$ . Does the graph cross/touch the $x$ -axis? What is the end behavior?

See Solution

Problem 24673

Let the original price be $x$ . Write the equation: $360 = \frac{2}{5}x$ . Find $x$ .

See Solution

Problem 24674

For the function $f(x)=-2 x^{2}(x^{2}-11)$ , find real zeros, their multiplicities, and end behavior.

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Problem 24675

For the function $f(x)=-6 x^{2}(x^{2}-2)$ , find real zeros and their multiplicities, graph behavior, and end behavior.

See Solution

Problem 24676

Find an equivalent expression for $\frac{(-4)^{4}}{(-4)^{2}}$ .

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Problem 24677

Find two numbers where their sum is -7 and one is 15 less than the other. List them as a, b.

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Problem 24678

Find two numbers where one is 5 more than 15 times the other and their sum is 53. Enter as $a, b$ .

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Problem 24679

Find an equivalent expression for $\left(\left(\frac{2}{5}\right)^{4}\left(\frac{2}{5}\right)^{3}\right)^{2}$ .

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Problem 24680

The number minus 18 equals 9. Find the number. $x - 18 = 9$

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Problem 24681

Evaluate $\left(\frac{\left(\frac{1}{4}\right)^{7}}{\left(\frac{1}{4}\right)^{6}}\right)^{2}$ .

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Problem 24682

Find the smaller of two consecutive numbers whose sum is -33. Let the numbers be $x$ and $x+1$ .

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Problem 24683

Find the total cost to produce 3,600 items if the cost per item is \ $18 and start-up costs are \$196,000:$ 18q + 196000$.

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Problem 24684

Analyze the function $f(x)=-4(x+2)(x-4)^{3}$ and find its end behavior for large $|x|$ .

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Problem 24685

Write the equation for savings $s$ after $m$ months, starting with \$374 and saving \$26 monthly.

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Problem 24686

Write $(3 p)^{3}$ in expanded form. Fill in the blanks: $(3 p)^{3} = \_\_\_$

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Problem 24687

Solve the equation: $x + 6 = x$ .

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Problem 24688

Solve for $x$ in the equation $x+(x+33)=200$ .

See Solution

Problem 24689

Analyze the function $f(x)=-4(x+2)(x-4)^{3}$ :
(a) Describe its end behavior.
(b) Find the $x$ - and $y$ -intercepts.

See Solution

Problem 24690

Rahquez and Hu have 203 books total. If Rahquez has 35 more than Hu, find how many books Hu has.

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Problem 24691

Solve the equation: $\frac{1}{2} x + \frac{1}{2} x = x + 1$ .

See Solution

Problem 24692

Solve the equation: $\frac{1}{3}(9 x+3)=3 x+1$ .

See Solution

Problem 24693

Analyze the function $f(x)=-4(x+2)(x-4)^{3}$ :
(a) Find end behavior.
(b) Find intercepts: $x$ -intercepts are $-2,4$ ; $y$ -intercept is 512.
(c) Determine zeros and their multiplicity.

See Solution

Problem 24694

Find the simplified expression for $\left(2^{2} \cdot 3^{4}\right)^{3}$ .

See Solution

Problem 24695

Find an equivalent expression for $\left(2^{2} \cdot 3^{4}\right)^{3}$ .

See Solution

Problem 24696

Four times a number minus two equals -58. Find the number.
A) Write the equation: $4x - 2 = -58$ . B) Solve for $x$ : $x =$

See Solution

Problem 24697

An organism has $20 \mathrm{~g}$ of carbon-14. After 11,400 years (2 half-lives), how much remains? a) 0 g b) 2.5 g c) 5 g d) 10 g

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Problem 24698

Solve for $x$ : $2 x + 4 = -(-7 x + 6)$ .

See Solution

Problem 24699

Estimate the age of a fossil with $16 \mathrm{~g}$ of carbon-14 from an initial $32 \mathrm{~g}$ .

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Problem 24700

A $15 \mathrm{~cm}$ wire is cut into two pieces. The longer piece is $5 \mathrm{~cm}$ longer than the shorter. Find the shorter piece's length.

See Solution

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Algebra

Problem 24601

Solve for xxx in the equation: 15x−5+x=−4715 x - 5 + x = -4715x−5+x=−47. Which option is correct? A, B, C, or D?

Problem 24602

Find the zeros of F(x)=x2+x−20F(x)=x^{2}+x-20F(x)=x2+x−20 by factoring. What are the xxx-intercepts? A. They are: B. They are:

Problem 24603

Solve the inequality x9+3<4\frac{x}{9}+3<49x​+3<4.

Problem 24604

Solve 8x+4=4x+168x + 4 = 4x + 168x+4=4x+16. What is the value of xxx? A. 555 B. 111 C. 444 D. 333

Problem 24605

Find the unit vector in the direction of the sum of the vectors a⃗=2i^−j^+2k^\vec{a}=2 \hat{i}-\hat{j}+2 \hat{k}a=2i^−j^​+2k^ and b⃗=−i^+j^+3k^\vec{b}=-\hat{i}+\hat{j}+3 \hat{k}b=−i^+j^​+3k^.

Problem 24606

Identify 6 properties of the function f(x)=−4.7x2+2.8x−5f(x)=-4.7 x^{2}+2.8 x-5f(x)=−4.7x2+2.8x−5, including ordered pairs and intervals. Number each.

Problem 24607

Determine if the function f(x)=−3x2+24x−4f(x)=-3 x^{2}+24 x-4f(x)=−3x2+24x−4 has a max or min value, and find that value.

Problem 24608

Solve: (x+2)2+4=3(x+2)^{2}+4=3(x+2)2+4=3

Problem 24609

Solve the system: y = x + 6 9x² + y² = 36 List all solutions as ordered pairs or state if there are none.

Problem 24610

Sketch the graph of f(x)=(x−2)2+4f(x)=(x-2)^{2}+4f(x)=(x−2)2+4. Find the axis of symmetry, domain, and range in interval notation.

Problem 24611

A hiker walks a 0.3 mile trail. What does nnn represent in 0.3n=100.3 n=100.3n=10? Options: times walked, days walked, total miles.

Problem 24612

Which group wrote the equation correctly: 5(c−9)=15(3c)+45(c-9)=15(3 c)+45(c−9)=15(3c)+4 or 5c−9=15(3c+4)5 c-9=15(3 c+4)5c−9=15(3c+4)? Options: Both, Neither, Group 1, Group 2.

Problem 24613

Find the zeros of P(x)=3x2−108P(x)=3x^2-108P(x)=3x2−108 by factoring. What are the xxx-intercepts? A. They are □\square□, B. They are different: zeros □\square□, intercepts □\square□.

Problem 24614

Find the zeros of the function f(x)=x2−98f(x)=x^{2}-98f(x)=x2−98 using the square root method. What are the xxx-intercepts?

Problem 24615

Determine if the function f(x)=−3x2+18x−3f(x)=-3x^{2}+18x-3f(x)=−3x2+18x−3 has a max or min value and find that value.

Problem 24616

For the function f(x)=x2+6x+9f(x)=x^{2}+6x+9f(x)=x2+6x+9, find its vertex, axis of symmetry, and intercepts. Does it open up or down?

Problem 24617

Sketch the graph of f(x)=(x−1)2+3f(x)=(x-1)^{2}+3f(x)=(x−1)2+3. Find the axis of symmetry, domain, and range.

Problem 24618

Find the zeros of the function f(x)=2x2+10x+9f(x)=2x^{2}+10x+9f(x)=2x2+10x+9 using the quadratic formula. What are the xxx-intercepts?

Problem 24619

Maximize P=4x+2yP=4x+2yP=4x+2y with constraints: 2x+2y≤102x+2y \leq 102x+2y≤10, 3x+y≤93x+y \leq 93x+y≤9, x≥0x \geq 0x≥0, y≥0y \geq 0y≥0.

Problem 24620

Find the real zeros and xxx-intercepts of f(x)=x2+10x+22f(x)=x^{2}+10x+22f(x)=x2+10x+22 using the quadratic formula. Options: A, B, or C.

Problem 24621

Find the average rate of change of the quadratic function ppp on 6≤x≤86 \leq x \leq 86≤x≤8 given rates of -4 and -1 on other intervals. (A) 2 (B) 3 (C) 5 (D) Cannot be determined.

Problem 24622

Graph the inequality y≥12x+3y \geq \frac{1}{2} x + 3y≥21​x+3.

Problem 24623

Find the zeros of f(x)=x2−20f(x)=x^{2}-20f(x)=x2−20 using the square root method. What are the x-intercepts?

Problem 24624

Determine if f(x)f(x)f(x) could be linear or quadratic based on the values: f(−2)=5f(-2)=5f(−2)=5, f(−1)=2f(-1)=2f(−1)=2, f(0)=1f(0)=1f(0)=1, f(1)=2f(1)=2f(1)=2.

Problem 24625

Find the zeros of F(x)=x2−x−56F(x)=x^{2}-x-56F(x)=x2−x−56 by factoring. What are the xxx-intercepts?

Problem 24626

A ball is thrown from a 64 ft building with an initial velocity of 48 ft/s. The distance is s(t)=64+48t−16t2s(t) = 64 + 48t - 16t^2s(t)=64+48t−16t2. (a) When does the ball hit the ground?(b) When does it pass the building's top while descending?

Problem 24627

Find the slope of g(m)=13.6−0.037mg(m)=13.6-0.037 mg(m)=13.6−0.037m and explain its meaning for Bethany's fuel consumption while driving.

Problem 24628

Maximize revenue for R(p)=−6p2+18,000pR(p)=-6p^2+18,000pR(p)=−6p2+18,000p and find the unit price and maximum revenue.

Problem 24629

Given h(x)=g(x+1)−g(x)=−6h(x) = g(x+1) - g(x) = -6h(x)=g(x+1)−g(x)=−6, which statement about fff and ggg must be true? (A, B, C, or D)

Problem 24630

Find the zeros of P(x)=2x2−72P(x)=2x^2-72P(x)=2x2−72 by factoring. What are the xxx-intercepts?

Problem 24631

Solve the quadratic equation x2−10x+34=0x^{2}-10 x+34=0x2−10x+34=0 using the quadratic formula. Provide exact answers with radicals and iii.

Problem 24632

What transformation is needed for the graph of f(x)=x5−5f(x)=x^{5}-5f(x)=x5−5 from y=x5y=x^{5}y=x5? A. left 5 B. down 5 C. up 5 D. right 5

Problem 24633

What was the student's first step to simplify 15j=8j−2815 j=8 j-2815j=8j−28 to 7j=−287 j=-287j=−28?

Problem 24634

Graph the transformed function f(x)=(x−5)5+1f(x)=(x-5)^{5}+1f(x)=(x−5)5+1 from y=x5y=x^{5}y=x5. Choose the correct graph: A, B, or C.

Problem 24635

Find the number of mangoes, mmm, given 3 times as many oranges as mangoes, 2 more apples than mangoes, totaling 27 fruits.

Problem 24636

Determine the end behavior of f(x)=−7(x−3)(x+9)2f(x)=-7(x-3)(x+9)^{2}f(x)=−7(x−3)(x+9)2 and find its real zeros.

Problem 24637

Find the real zeros and their multiplicities for f(x)=−7(x−3)(x+9)2f(x)=-7(x-3)(x+9)^{2}f(x)=−7(x−3)(x+9)2. Does the graph cross/touch the xxx-axis? What is the end behavior?

Problem 24638

Solve 3ax+4ax=5ax+43ax + 4ax = 5ax + 43ax+4ax=5ax+4 for xxx, given that a≠0a \neq 0a=0.

Problem 24639

Find the acceptable blood pressure range for a reading of 84 with a variation of 4. Solve the equation: ∣x−84∣≤4|x - 84| \leq 4∣x−84∣≤4.

Problem 24640

Solve for $x$ in the equation: $15 x - 5 + x = -47$ . Which option is correct? A, B, C, or D?

Find the zeros of $F(x)=x^{2}+x-20$ by factoring. What are the $x$ -intercepts? A. They are: B. They are:

Solve the inequality $\frac{x}{9}+3<4$ .

Solve $8x + 4 = 4x + 16$ . What is the value of $x$ ? A. $5$ B. $1$ C. $4$ D. $3$

Find the unit vector in the direction of the sum of the vectors $\vec{a}=2 \hat{i}-\hat{j}+2 \hat{k}$ and $\vec{b}=-\hat{i}+\hat{j}+3 \hat{k}$ .

Identify 6 properties of the function $f(x)=-4.7 x^{2}+2.8 x-5$ , including ordered pairs and intervals. Number each.

Determine if the function $f(x)=-3 x^{2}+24 x-4$ has a max or min value, and find that value.

Solve: $(x+2)^{2}+4=3$

Solve the system:
y = x + 6 9x² + y² = 36
List all solutions as ordered pairs or state if there are none.

Sketch the graph of $f(x)=(x-2)^{2}+4$ . Find the axis of symmetry, domain, and range in interval notation.

A hiker walks a 0.3 mile trail. What does $n$ represent in $0.3 n=10$ ? Options: times walked, days walked, total miles.

Which group wrote the equation correctly: $5(c-9)=15(3 c)+4$ or $5 c-9=15(3 c+4)$ ? Options: Both, Neither, Group 1, Group 2.

Find the zeros of $P(x)=3x^2-108$ by factoring. What are the $x$ -intercepts? A. They are $\square$ , B. They are different: zeros $\square$ , intercepts $\square$ .

Find the zeros of the function $f(x)=x^{2}-98$ using the square root method. What are the $x$ -intercepts?

Determine if the function $f(x)=-3x^{2}+18x-3$ has a max or min value and find that value.

For the function $f(x)=x^{2}+6x+9$ , find its vertex, axis of symmetry, and intercepts. Does it open up or down?

Sketch the graph of $f(x)=(x-1)^{2}+3$ . Find the axis of symmetry, domain, and range.

Find the zeros of the function $f(x)=2x^{2}+10x+9$ using the quadratic formula. What are the $x$ -intercepts?

Maximize $P=4x+2y$ with constraints: $2x+2y \leq 10$ , $3x+y \leq 9$ , $x \geq 0$ , $y \geq 0$ .

Find the real zeros and $x$ -intercepts of $f(x)=x^{2}+10x+22$ using the quadratic formula. Options: A, B, or C.

Find the average rate of change of the quadratic function $p$ on $6 \leq x \leq 8$ given rates of -4 and -1 on other intervals. (A) 2 (B) 3 (C) 5 (D) Cannot be determined.

Graph the inequality $y \geq \frac{1}{2} x + 3$ .

Find the zeros of $f(x)=x^{2}-20$ using the square root method. What are the x-intercepts?

Determine if $f(x)$ could be linear or quadratic based on the values: $f(-2)=5$ , $f(-1)=2$ , $f(0)=1$ , $f(1)=2$ .

Find the zeros of $F(x)=x^{2}-x-56$ by factoring. What are the $x$ -intercepts?

A ball is thrown from a 64 ft building with an initial velocity of 48 ft/s. The distance is $s(t) = 64 + 48t - 16t^2$ .
(a) When does the ball hit the ground?
(b) When does it pass the building's top while descending?

Find the slope of $g(m)=13.6-0.037 m$ and explain its meaning for Bethany's fuel consumption while driving.

Maximize revenue for $R(p)=-6p^2+18,000p$ and find the unit price and maximum revenue.

Given $h(x) = g(x+1) - g(x) = -6$ , which statement about $f$ and $g$ must be true? (A, B, C, or D)

Find the zeros of $P(x)=2x^2-72$ by factoring. What are the $x$ -intercepts?

Solve the quadratic equation $x^{2}-10 x+34=0$ using the quadratic formula. Provide exact answers with radicals and $i$ .

What transformation is needed for the graph of $f(x)=x^{5}-5$ from $y=x^{5}$ ? A. left 5 B. down 5 C. up 5 D. right 5

What was the student's first step to simplify $15 j=8 j-28$ to $7 j=-28$ ?

Graph the transformed function $f(x)=(x-5)^{5}+1$ from $y=x^{5}$ . Choose the correct graph: A, B, or C.

Find the number of mangoes, $m$ , given 3 times as many oranges as mangoes, 2 more apples than mangoes, totaling 27 fruits.

Determine the end behavior of $f(x)=-7(x-3)(x+9)^{2}$ and find its real zeros.

Find the real zeros and their multiplicities for $f(x)=-7(x-3)(x+9)^{2}$ . Does the graph cross/touch the $x$ -axis? What is the end behavior?

Solve $3ax + 4ax = 5ax + 4$ for $x$ , given that $a \neq 0$ .

Find the acceptable blood pressure range for a reading of 84 with a variation of 4. Solve the equation: $|x - 84| \leq 4$ .

For the function $f(x)=-6(x-7)(x+7)^{2}$ , find real zeros, their multiplicities, graph behavior, max, and end behavior.

Given the function $f(x)=-6(x-7)(x+7)^{2}$ , find real zeros, their multiplicities, graph behavior, and end behavior.

Find the inverse of the function $f(x)=\frac{4x-1}{6x-9}$ .

For the function $f(x)=-8(x-1)(x+3)^{2}$ , find real zeros, their multiplicity, and graph behavior at $x$ -intercepts.

Identify the terms in the expression for the cost of attending a play: $45 p + 7$ .

Solve for $c$ in the equation $6 c + 1 = -2$ .

Solve for $c$ in the equation $6 c + 1 = -2$ .

Find the real zeros of $f(x)=-6\left(x^{2}+25\right)(x-5)^{3}$ and their multiplicities. Does the graph cross/touch the $x$ -axis?

Find the real zeros and their multiplicities for $f(x)=-6(x^{2}+25)(x-5)^{3}$ . Does the graph cross or touch the $x$ -axis? What is the end behavior?

For the function $f(x)=-7\left(x^{2}+9\right)(x-8)^{3}$ , find real zeros, their multiplicities, graph behavior, and end behavior.

For the function $f(x)=-7\left(x^{2}+9\right)(x-8)^{3}$ , find the real zeros, their multiplicities, and end behavior.

Find the inverse of the function $f$ given by the pairs: $(-1, 6)$ , $(0, 4)$ , $(1, 7)$ , $(2, 8)$ , $(3, 5)$ .

Solve for $x$ in the equation: $-2(x+2)-7=-3$ .

For the function $f(x)=-8\left(x^{2}+9\right)(x-7)^{3}$ , find real zeros, their multiplicity, and end behavior.

Calculate $\left(\frac{(2.1)^{5}}{(0.9)^{4}}\right)^{3}$ .

Find the inverse of the function $f(x)=12 x-2$ .

For the function $f(x)=-8\left(x^{2}+9\right)(x-7)^{3}$ , find real zeros, their multiplicities, and end behavior.

For the polynomial $f(x)=-3\left(x^{2}+9\right)(x-3)^{3}$ , find real zeros, their multiplicities, crossing behavior, and end behavior.

Find the inverse of $f(x)=\sqrt{x-5}$ for $x \geq 5$ .

Simplify $4.3 \cdot (4.3^2)^4$

Find the real zeros and their multiplicities for $f(x)=-3(x^{2}+9)(x-3)^{3}$ , and determine graph behavior.

Find an equivalent expression for $\left(\frac{(2.1)^{5}}{(0.9)^{4}}\right)^{3}$ .

Find the distance over which a force of 200 N does 800 J of work. Options: a. $40 \mathrm{~m}$ b. $20 \mathrm{~m}$ c. $4 \mathrm{~m}$ d. $2 \mathrm{~m}$

Find an equivalent expression for $\left(\frac{(2.1)^{5}}{(0.9)^{4}}\right)^{3}$ .

Rewrite $\left(x^{2}\right)^{3}$ as a single exponent: $\left(x^{2}\right)^{3}=x^{\square}$ . Fill in the blank.

Find the equivalent expression for $\left(\frac{(2.1)^{5}}{(0.9)^{4}}\right)^{3}$ . Options: $2.3^{3}$ , $\frac{(2.1)^{15}}{(0.9)^{12}}$ , $\frac{(2.1)^{8}}{(0.9)^{7}}$ .

For the function $f(x)=-9 x^{2}(x^{2}-2)$ , find real zeros, their multiplicities, crossing behavior, and end behavior.

Find the real zeros and their multiplicities for $f(x)=-9 x^{2}(x^{2}-2)$ . Does the graph cross or touch the $x$ -axis? What is the end behavior?

Rewrite $(2 y)^{4}$ without exponents and fill in the blank: $(2 y)^{4}=\square y$ .

Find an equivalent expression for $2^{2} \cdot 3^{4}$ .

Find an equivalent expression for $(2^{2} \cdot 3^{4})^{3}$ .

Find the real zeros and their multiplicities for $f(x)=-2 x^{2}(x^{2}-11)$ . Does the graph cross/touch the $x$ -axis? What is the end behavior?

Let the original price be $x$ . Write the equation: $360 = \frac{2}{5}x$ . Find $x$ .

For the function $f(x)=-2 x^{2}(x^{2}-11)$ , find real zeros, their multiplicities, and end behavior.