Math Questions

In finding the solution of the equation 5 - 3x = 2x + 9, 3x is added to both sides of the equation first. Which of the following should be done next? add-9 add-5 add-2x

Consider the function f(x) = 2 - 5x² on the interval [ - 3, 7]. The average rate of change of f(x) on this interval is: f(7) - f(-3) / 7-(-3) = The Mean Value Theorem says that there is at least one number c in the open interval (,) so that f'(c) equals this average rate of change. Find the value(s) of c that work for f(x) on ( - 3, 7):

The distance between A (-4, 2) and B(4, 2) is. 4 6 8

A book editor was proofreading a draft of a novel. She found that the number of errors on each page of the book was normally distributed, with the mean number of errors on a page as 15 and a standard deviation of 2. If 102 pages had between 11 and 15 errors, what was the approximate total number of pages in the book?

Solve for x. 7(x + 1) = 21 x = 4 Ox=22/7 Ox=2 Ox=20/7

Find the 30th term of the following sequence. 2, 8, 14, 20, ... 176 182 180 174

Find the average rate of change of the function f(x)=x² + 3x from x₁ = 4 to x₂ = 6.

The coefficients in the expansion of (x + y)4 are. A. 1, 4, 6, 4, 1 B. 0, 1, 6, 4, 1,0 C. 1, 4, 6, 6, 4, 1 D. 0, 4, 6, 4,0

Fire towers A and B are located 10 miles apart. They use the direction of the other tower as 0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire at 64°. How far from tower A is the fire to the nearest tenth of a mile?

Find the image of the given point under the given translation. . P(-5, 7) T(x, y) = (x + 5, y - 4)

Which function is the inverse of y=-3x+6/7? A. y=-1/3 x+2/7 B. y = -1/3 x + 18/7 C. y=-3x-6/7 D. y=-1/3x+7/6

Simplify (assuming all variables are positive): √9x²y² 3√xy 3xy 3√3xy 9xy

An equation _______ has one solution. sometimes never always

Given that - 24x^8 + 3x^36y + y^9 = -20 compute dy/dx= Now find an equation of the line tangent to the graph of -24x^8 + 3x^36y + y^9 = -20 at (1, 1)

If R=(√2+1)^2n+1 where [R] and f = R-[R] denotes the greatest integer function and fractional part of R respectively, then the value of [R] is equal to: f+1/f f-1/f 1/f-f None of these

Find the maximum and minimum values of the function g(0) = 2θ - 7 sin(θ) on the interval [0, π/2] Minimum value = Maximum value: =

f (x) = (1/5)x represents an exponential growth equation. O True O False

Suppose a point has polar coordinates (2, - 3π/4),with the angle measured in radians. Find two additional polar representations of the point. Write each coordinate in simplest form with the angle in [-2π, 2π].

Use vertical multiplication to find the product of: x³ +2x+3 x²-x+1 A. x^6+x^4+4x³ - 2x² -x +3 B. x^6+2x³-2x²+2x+1 C. x^6+ x^4 + 3x³ - 2x²-3x+3 D. x^6 -x^4 +x³ - 2x² + 2x +3

Suppose a point has polar coordinates (-5, 11π/6) with the angle measured in radians. Find two additional polar representations of the point. Write each coordinate in simplest form with the angle in [-2π, 2π].

32) Irene is on the 18th floor of a hotel. Her car is parked in the B level of the parking garage which is two floors below the main floor (ground level). Including the floor on which Irene is located and the floor on which her car is located, how many floors will Irene pass when she rides the elevator to go to her car?

The total cost (in dollars) of manufacturing x auto body frames is C(x) = 70,000+400x. (A) Find the average cost per unit if 500 frames are produced. (B) Find the marginal average cost at a production level of 500 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 501 frames are produced. (A) If 500 frames are produced, the average cost is $ 540 per frame. (B) The marginal average cost at a production level of 500 units is $0.8 per frame. (Round to the nearest cent as needed.)

Which of the following terms appear in the expansion of (x+y)^10? The letter a in each term represents a real constant. A. ax^4y^6 B. ax^5 C. ax^6y^4 D. ax³y^7

What's the circumference of a circle with a radius of 3 inches? Use 3.14 for π.

Indicate in standard form the equation of the line passing through the given points, writing the answer the equation box below. B(0, 0), C(4,-4)

What is the degree of this polynomial? 5y² + y +1 A. 2 B. 1 C. 5 D. 3

Question 6 of 46 Using the factor theorem, which of the following is a factor of the polynomial below? x3 +7x2 +4x-12 A. x+6 B. x+4 C. x-3 D. x-2

Which of the following points lies in quadrant III? (-1,-5) (-1,5) (1,-5)

The coordinates P(0, 1), Q(3, 2), R(5, -4) form a right triangle. True False

What identity can be used to rewrite the expression 27X³ -64? A. Pythagorean Triples B. Sum of Cubes C. Difference of Squares D. Difference of Cubes

Which of the following is a root of the polynomial function below? F(x) = x² + 3x² -5x-4 A. 1/2 - √5/2 B. 4 C. 3 D. 1/3 + √5/3

A boat heads directly north across a river, 68 m wide at a rate of 3 m/s. The current is flowing downstream (due west) at 1.9 m/s. A. What is the resultant velocity and direction of the boat? Write your angle as a bearing. B. How long does it take the boat to cross the river? (Hint: How long does it take to covert the vertical distance of 68m across the river?) C. How far downstream is the boar when it reaches the other side of the river?

Three of the vertices of a square are the points whose coordinates are (2, 3), (2, 6), and (5, 3). What are the coordinates of the fourth vertex? (6,5) (2,5) (5,6)

To solve this system of equations, Ayana isolated y in the first equation and then substituted for y in the second equation. What was the result? 2y = 6x x² + y = 4 A. x² + 3x² = 4 B. x² + 6x = 4 C. x² + 3x = 4 D. x² + 6x² = 4

Calculate the mass percent concentration in the following solution: A sugar solution with 100 g of sugar, dissolved in 0.25 kg of water. Hint: Make sure that all of your units are in grams before doing any calculations. Round to one decimal place and do NOT include the % sign in your answer.

Simplify (assuming all variables are positive): √20x²5 2xy² √5y 2x²y4√√5y 4xy² √5y 2x²y² √5y

Solve x/3- 6 y for x. A. x= 3y - 18 B. x = y + 2 C. x = y 2 D. x= 3y + 18

What is the output of the following function for x = 2? F(x) = 2x¹ - x³ +5x-9 A. 25 B. 11 C. 9 D. 14

If you toss a coin, what is the probability of it landing tails up?

Simplify: (2x²y³)4 16x8y¹2 8x6y7 8x8y¹2 16x6y7

What is the degree of the polynomial below? 2x² +3x+1 A. 0 B. 3 C. 2 D. 1

Indicate the equation of the given line in standard form. Write the answer in the equation box below. The line containing the median of the trapezoid whose vertices are R(-1, 5), S(1, 8), 7(7,-2), and U2, 0).

Expand the expression. 1/3 (12d + e)

What expression is represented by the factorization below? (3x+2)(3x-2) A. 9x² +12x-4 B. 9x² +12x+4 C. 9x²-4 D. 9x² +4

Which of the following is a monomial? A. 9x²+2x+4 B. √2x+1 C. 6/x D. 3x

If you place these marbles in a bag, close your eyes, and choose a marble, what is the probability that it will be yellow?

Which of the following represents the synthetic division form of the long division problem below? 2x³ -6x² +4x+7/x+3 A. 3√-2 6-4 -7 B. -3√2 -6 4 7 C. 3√2 -6 47 D. -3√-2 6-4 -7

Kristen and Martha have a company making widgets. When working alone, Kristen can make a widget in 6 minutes. When working alone, Martha can make a widget in 2 minutes. How long would it take them working together to create a widget?

Which of the following would be the most logical first step to solving this quadratic equation? x^2 - 5x+6 = 0 A. Factor the left side. B. Use the zero product rule to set up smaller equations. C. Add-6 to both sides. D. Take the square root of both sides.

There are 16 marbles in a bag; 12 of the marbles are blue and 4 are yellow. What is the probability of picking a blue marble and then a yellow marble, without replacing the first marble? a. 11/20 b. 3/7 c. 1/5