Math Questions

Amy is thinking of a number that is 2 times the value of Jake's number. Amy's number is also 2 more than 3 times the value of Jake's number. What is Amy's number? Write and solve a system of equations to answer the question. A. -2 B. -4 C. 4 D. 2

An equation for the line L is: y = 11 + 10/7 (x-4) The angle I makes with the x-axis is:

Ava wonders what her family's favorite sports team is. So, she asked all her friends about their favorite team. Is this a random sample that helps find her family's favorite team? A. Yes, because she asked her friends. B. No, because she asked her friends; people in her family may like a different team. C. Yes, because she asked each friend the same question. D. This cannot be determined with the information given.

Which of the following shows the equation below rewritten in the form ax² +bx+c=0? (3x)² = 8(x-1) A. 3x²-8x+8 = 0 B. 9x² -8x+8=0 C. 9x² +8x-8=0 D. 3x² +8x-8=0

Solve 4|x + 5| + 8 = 24. A. x = -1 and x = 9 B. x = -1 and x = -9 C. x = 1 and x = -9 D. = 1 and x = -1

The slope of a line is -1/3. Find the slope of a line that is perpendicular to this line. -3 1/3 3

Which of these is a factor in this expression? 7z^4 - 5+10 (y³+5) A. 10 (y³ + 5) B. −5+10 (y³ + 5) c. (y³ + 5) D. 7z^4 - 5

Isaac invested $77,000 in an account paying an interest rate of 4.6% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 12 years?

What's the probability of rolling the die twice and having it land on 5 both times? 1/36 1/6 1/3

The expression below is the factorization of which of the following trinomials? (2x+7)(x+5) A. 2x²+2x+35 B. 2x² +10x+35 C. 2x² +12x+35 D. 2x² +17x+35

You know that this statement is true: If A is true then B is true. Which of the following statements might also be true? If B is false then A is false If A is false then B is true If A is false then B is false If A is true then B is false

Construct a polynomial of degree two that has the numbers-2, 4 as its zeros and has y intercept 12. The result is an expression in the form y-Ax² + Bx+C. Which one of the following statement(s) is(are) true? There may be more than one correct answer. (x-2) is a factor A=1.5 A=-1.5 When x=-3, y=-11.5

Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = 8 + 9/x f'(x)= f(1) = f(2)= f(3) =

The negation of the statement "Sophie is wearing white shoes" is: Maria is wearing white shoes Sophie is wearing shoes Sophie is not wearing shoes Sophie is not wearing white shoes Sophie is wearing black shoes

The number 38.99011 rounded to 3 significant figures is: The number 347.0067 rounded to 5 significant figures is: The number 3533.620 rounded to 3 significant figures is:

Using the discriminant, how many real solutions does the following quadratic equation have? x^2+6x+10=0 A. Three real solutions B. Two real solutions C. One real solution D. No real solutions

Solve |x + 6| = 8. A. x = -2 and x = 14 B. x =2 and x = -14 C. x = 2 and x = -2 D. x = 2 and x = -14

a. When 15.039 and 11.523 are divided, the answer should have ________ Enter the answer, using the correct number of significant figures: 15.039/11.523 = b. When 11.523 is subtracted from 15.039, the answer should have _____ Enter the answer, using the correct number of decimal places: 15.039 11.523 =.

4 Workout Plus offers a membership for $30 each month plus a $100 startup fee. Fit Works offers a membership for $50 each month plus a $20 startup fee. The equations for each membership plan are given below. Graph the equations to determine after how many months membership costs will be the same. y = 30x + 100 y = 50x + 20 After how many months (x) will memberships to both gyms cost the same amount? (A.REI.C.6)

The number of hours worked, x, and the total dollars earned, y, have a strong positive relationship. Explain what it means to have a strong positive relationship in this situation.

Let z₁ = 6(cos 130° + i sin 130°) and z₂=2(cos 190° +isin 190°). Find the following. Write your answers in trigonometric form. Give exact values in your answers (not decimal approximations). (a) z1z2 = (b) z1/z2 =

Which of the following is the result of the equation below after completing the square and factoring? A. (x-5/2)² = 9/4 B. (x+5/2)² = 9/4 C. (x+5)² = 41/4 D. (x+5/2)² = 41/4

Which of the following numbers must be added to complete the square in the equation below? x^2+22x-50 A. 50 B. 121 C. 11 D. 22

An isometry is a transformation that preserves direction orientation distance

The coordinates of a triangle are given as A(3, 2), B(-4, 1), C(-3, -2). What are the coordinates of the image after the triangle is reflected in the line y = x? A' B' C'

Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000. Which function calculates his monthly earnings (E) as a function of m, his monthly sales? E(m) = 2,000+ 0.15(m-20,000) E(m) = 2,000+ 0.15(m + 20,000) E(m) = 2,000+ 15(m -20,000) E(m) = 2,000 + 15(m + 20,000)

What would be the best first step in solving this system? y = x² + 3x - 4 2x+y = 17 A. Substitute for x in the first equation. B. Isolate x in the second equation. C. Substitute for y in the second equation. D. Isolate x2 in the first equation.

Given the following information: P(A) = 0.37 P(B) = 0.19 P(A and B) = 0.1 P(B given A) = 0.27 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =

Which expression is the simplest form of - (3x³ + x²) + 2 (x³ − 4x²)? A.-x³-9x² B. 5x³ - 8x² C. - x³ - 3x² D. 5x³ - 7x²

Use the four-step process to find f'(x) and then find f′(1), f'(2), and f'(3). f(x) = 9 + 5/x

The graph of the reciprocal parent function, f(x) = 1/x, is shifted 4 units up nand 3 units to the left to create the graph of g(x). What function is g(x)? A. g(x) = 1/x+4 +3 B. g(x)= 1/x-4 +3 c. g(x)= 1/x-3 +4 D. g(x) = 1/x+3 + 4

Approximately 75% of patients comply with physicians' recommendations post office visits.Each patient's compliance is independent of any other patient's. Of the 400 patients surveyed post office site, what is the probability that at least 300 will comply? Patients are randomly selected.

What is the probability of rolling a dice and getting a 7? A. 1/6 B. 1/7 C. 0, it is impossible to roll a 7 on a dice because the dice does not have 7 on any of its sides

There are 6 red socks and 8 black socks in a drawer. Without looking, you pick out 2 socks to wear. What is the probability of picking red, black? A. 15/91 B. 14/27 C. 24/91

A construction company is analyzing which of its older projects need renovation. Building B was built two years before building C. Building D was built two years before building B. The product of building B's age and building D's age is at least 195. If x represents the age of building C, which inequality represents this situation? A x^2 + 8x + 16 ≥ 195 B. x^2 +6x + 8 ≥ 195 C. x^2 + 4x + 4 ≥ 195 D. x^2 +42 ≥195

For - 12 ≤ x ≤ 15 the function f is defined by f(x) = x²(x + 6)² On which two intervals is the function increasing (enter intervals in ascending order)? Find the interval on which the function is positive: x = Where does the function achieve its minimum? x =

Solve 4 x + 6 = 32. A. x = 14 and x = -2 B. x= -14 and x = −2 C. x= -14 and x = 2 D. x = 14 and x = -14

If P (3,2), find the image of P under the following rotation. 180° counterclockwise about the origin

A spinner has the colors red, blue, and green on it. Maria spins it 30 times, and it lands on red 12 times. What is the experimental probability of spinning a red? A. 4/15 B. 2/5 C. 1/3

If P (2,-1), find the image of P under the following rotation. 180° counterclockwise about the origin

The circumference of a sphere was measured to be 75 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.

Solve - 6 + 8 = 15. A. x= 13 and x = -1 B. x= 13 and x = -13 C. x= -13 and x = -1 D. x= -13 and x = 1

Solve 6x - 2y = 10 for y. A. y = 3x - 10 B. y = 3x - 5 C. y = -6x + 10 D. y = 6x + 5

The owner of a baseball stadium found that he sells an average of 586 tickets to each game when he charges an average of $59 per ticket. In addition, he found that with every $6 increase in ticket price, the average number of tickets sold decreases by an average of 4. Which of the following functions describes the baseball stadium's profit in terms of x, the number of $6 increases over $59? A. P(x) = $59-$3,752x - $24x² B. P(x) = $34,574 + $3,516x C. P(x) = $34,574 + $3,280x- $24x² D. P(x) = $59+ $3,280x

Set A and the universal set U are defined as follows. U = {h, p, q, r, x, y) A = {p, r, x} Find the following sets. Write your answer in roster form or as Ø. (a) 4nØ = (b) AU A' =

What is the result when this equation is solved for y? 4x² + 10x - 2y = 6 A. y = -2x² - 5x+3 B. y = 4x² + 10x - 6 C. y = 2x² + 5x - 3 D. y=-4x² - 10x+6

What is the solution to this equation? 5(x-4)= 3x+4 A. x = -8 B. x = 12 C. x = -2 D. x = 3

An equation for the line L is: y = 3 + 5/4 (x - 12) The angle L makes with the x-axis is:

Given a function f(x) with f(− 8) = 1 and f(9) ,m= 2: There must be a number c with -8 < c < 9 and f(c) = 1.4. There might be a number c with 8 < c < 9 and f(c) = 1.4. There cannot be a number c with -8 < c < 9 and f(c) = 1.4.

Select the correct answer. Which of the following functions is the inverse of this function? f (x) = x + 2 / 7 A. p(x)=7x - 2 B. q(x) = -x + 2 / 7 C. r (x) = 7 / x+2 D. s(x)=2x + 7