Math Questions

A party room costs $50 plus $6 per person. To reserve a party room, you must spend at least $98. Which inequality could help you figure out how many people you should invite so that you spend at least $98? A. 56p < 98 B. B. 50+ 6p ≥ 98 C. 50+ 6p ≤ 98 D. 50-6p ≤ 98

The two sets of data below represent the number of runs scored by two different youth baseball teams over the course of a season. Team A: 4, 8, 5, 12, 3, 9, 5, 2 Team B: 5, 9, 11, 4, 6, 11, 2, 7 Which set of statements about the mean and standard deviation is true? 1) mean A< mean B standard deviation A > standard deviation B 2) mean A> mean B standard deviation A < standard deviation B 3) mean A < mean B standard deviation A < standard deviation B 4) mean A> mean B standard deviation A > standard deviation B

A car rental company offers two plans for renting a car. Plan A: 35 dollars per day and 10 cents per mile Plan B: 65 dollars per day with free unlimited mileage How many miles would you need to drive in one day for plan B to save you money? Enter the exact answer as an inequality using the variable m to represent the number of miles.

The circumference of a sphere was measured to be 82 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.

For - 11 ≤ x ≤ 13 the function f is defined by f(x) = x³ (x + 1)² On which two intervals is the function increasing (enter intervals in ascending order)? Find the interval on which the function is positive: Where does the function achieve its minimum?

f(x) = √3x g(x) = √48x Find (f g)(x). Assume x ≥ 0. A. (f.g)(x) = 12√x B. (f g)(x) = √51x C. (f.g)(x) = 12x D. (f.g)(x) = 72x

Given a continuous function f(x) with f(-5) = - 1 and f(9) = - 8: There must be a number c with − 5 < c < 9 and f(c) = - 4.6. There might be a number c with - 5 < c < 9 and f(c) = - 4.6. There cannot be a number c with -5 < c < 9 and f(c) = - 4.6.

John lives in Vermont and Julie lives in Florida. One January day, it was 52°F in Florida and -9°F in Vermont. What was the difference in temperatures?

Find an equation of the ellipse that has center (3, 2), a minor axis of length 2, and a vertex at (3,-9).

Solve 3x + 3 = 21. A. x = 6 and x = -8 B. x= -6 and x = -8 C. x= 6 and x = -6 D. x=-6 and x = 8

An equation for the line L is: y = 3 + 3/2 (x - 17) The angle L makes with the x-axis is:

Solve the triangle BQK where b=3.43, q = 6.51, and Q = 90°. Which of the following statements are true about BQK? There is at least one correct response. Choose all correct responses. Rounded to the nearest degree, the measure of angle K = 53° The perimeter of BQK is approximately 17.3 The perimeter of BQK is approximately 15.47 Rounded to the nearest degree, the measure of angle B = 32° None of these statements are true about AABQK

Use the graph of the function f shown to estimate the following limits and the function value. Complete parts (A) through (D). (C) Find the limit lim x⇒1 f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim x⇒1 f(x) B. The limit does not exist. (D) Find the function value f(1). A. f(1) = B. The function does not have a value.

Which of the following is a validation of congruency between two polygons? if by applying only rotation you can make them coincide if by applying only translation you can make them coincide if by applying rigid motions you can make them coincide if by applying dilation you can make them equal

Define the sets A, B and C as: A = {-7, 4, 0, 3} B = {-7, 0, 4, 6} C = {-5, 4, 0, 2, 4, 6} List all values of a that satisfy each statement. - x is in A and x is in B: x is in A or x is in C: x is not in B and is in C:

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1400 bacteria selected from this population reached the size of 1849 bacteria in six hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.

A school board wants to implement a new lunch program, but wants to know how the students feel about it. Which sample is the best predictor of how the students feel? A. Select 7th graders at random. B. Select the first 10 students that show up to lunch. C. Ask the other members of the school board. D. Select random students from every grade.

You know that the following information about f(x): f(3) = 14 f(14) = 2 f'(14) = 2 f'(3) = 13 If F(x) = f(f(x)) and G(x) = (F(x))² then: F'(3) = G'(3) =

a. When 50.19 and 50.67 are multiplied, the answer should have Enter the answer, using the correct number of significant figures: 50.19 x 50.67 = b. When 50.19 and 50.67 are summed, the answer should have Enter the answer, using the correct number of decimal places: 50.19 +50.67: =

The critical numbers of the function f(x) = (8x - 8) e^4x are:

In slides 2-4, use the side lengths to determine if the triangle is acute, obtuse, right, or not a triangle. 19, 6, 12

Rosario and Enrique are in the same mathematics class. On the first five tests, Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of 90, 61, 79, 73, and 87. How much higher was Enrique's average than Rosario's average? 15 points 2 points 3 points 4 points

a. When 28.40 and 27.6 are divided, the answer should have ____ Enter the answer, using the correct number of significant figures: 28.40/27.6 = b. When 27.6 is subtracted from 28.40, the answer should have ___ Enter the answer, using the correct number of decimal places: 28.40 27.6 =

The number 1.464163 rounded to 4 significant figures is: The number 418.308 rounded to 3 significant figures is: The number 43.94754 rounded to 5 significant figures is:

f(x) = 3x + 8. Find the inverse of f(x). A. f ¹ (x) = 3x - 8 B. ƒ ¹ (x) = x - 3 / 8 c. f ¹ (x) = x - 3 / 3 D. f¹(x)= 8 - 3x

You want to solve the following system of equations by addition. What should you do first, so that one variable is eliminated when you add the equations? -2x+4y=10 3x-2y=-7 A. Multiply the top equation by -3. B. Multiply the top equation by 3 and the bottom equation by -2. C. Multiply the top equation by 2 and the bottom equation by 3. D. Multiply the bottom equation by 2.

Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. -1 (multiplicity 2), 3+2i

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