Basic Math Questions and Answers

Solve the formula Ax+By = C for A. A. A = C-By/x B. A=C/X+By C. A = C+By/x D. A = C- By/x

Factor. 6x2-x-12

Solve the quadratic equation by factoring. x² - 7x-8=0 x= -4 or x = 2 x = 8 or x = -1 x= -8 or x = 1 x = 4 or x = 2

The polynomial (x-2) is a factor of the polynomial 3x² - 8x + 2. A. True B. False

Runners in a long distance race start out going 8 kilometers east and then head north for the remainder of the race. The finish line is 10 kilometers from the starting line. How far did the runners travel north? 2 km 6 km 10 km

Kayla was asked to rewrite the polynomial expression x²-14x + 49. How could she rewrite the polynomial? A. (x+7)(x+2) B. (x-7)(x-7) C. (x-7)(x+7) D. (x+7)(x+7)

Clint's salary increased from $22,000 to $28,600 over a three-year period. Helen's salary increased from $27,000 to $35,100 over the same period. Whose salary increased more in absolute terms? In relative terms? Explain. Whose salary increased more in absolute terms? Select the correct choice below and fill in the answer box(es) to complete your choice. A. Helen's salary increased more, because her salary increased by $ amount that Clint's salary increased. This is more than $ B. Clint's salary increased more, because his salary increased by $ amount that Helen's salary increased. C. Neither person's salary increased more, because both of their salaries increased by $ This is more than $ the the

Point (-5, 5) lies in Quadrant I IV II III

Two lighthouses are located on a north-south line. From lighthouse A the bearing of a ship 3742 m away is 129 °. From lighthouse B the bearing of the ship is 39°. Find the distance between the lighthouses.

Select the axis of symmetry and y-intercept of f (x) = x² + 4x - 5 (Choose 2) (0,8) (0.-1) (0,3) x=1 (0.-5) x=2 □ x=-2 x=0 □ (0, 1) x=-1 x = 3

Find the average rate of change of the function f(x)=x² + 5x from x₁ = 2 to X₂ = 4. The average rate of change is (Simplify your answer.)

Which statements describe one of the transformations performed on f(x) = x² to create g(x) = 3(x+5)² -2? Choose all that apply. A. A translation of 2 units to the left B. A vertical stretch with a scale factor of 1/3 C. A vertical stretch with a scale factor of 3 D. A translation of 5 units to the left

Solve for x. 3(x + 2) = 12 x = 6 x = 2 x = 3 1/3 x=4 2/3

Solve for x. 8(x + 1)-3(x + 4) = 7(2 - x) x=11/12 X x=-11/ x=-11/2 x = 1/

Simplify (assuming that a is positive): √50a² 5av10 2a √5 25a√2 Sa√2

Simplify the given equation. 5x + 2(x - 3) = +2(x - 1) 7x-6=-2x-2 7x-6=-2x+2 7x-3 = -2x-1

Which of the following is the complete factorization of the polynomial below x³+x²-17x+15 A. (x+5)(x-3)(x-1) B. (x-5)(x+3)(x-1) C. (x+5)(x+3)(x+1) D. (x-5)(x-3)(x+1)

A rectangular patio measures 20 feet by 30 feet. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio.

Simplify (assuming all positive exponents): √60a¹¹ 2a5√15a 4a55 √15 2a5√8a

A person buys a phone for $83 and signs up for a single-line phone plan with 2000 monthly anytime minutes. The plan costs $112.95 per month. Write an equation that can be used to determine the total cost, C(t), of this phone plan for t months Then, find the cost for 24 months, assuming that the number of minutes the person uses does not exceed 2000 per month. An equation that can be used to determine the total cost, C(t), of the phone plan for t months is C(t) = (Use integers or decimals for any numbers in the expression.)

y = x² y = 1,002 x -2,000 If (x1, y1) and (x2, y2) are distinct solutions to the system of equations shown above, what is the sum of the x ₁ and x ₂?

What is the complete factorization of the polynomial below? x^3+x^2 + 4x + 4 A. (x + 1)(x+2i)(x+2i) B. (x-1)(x + 2i)(x-2i) C. (x + 1)(x + 2i)(x-2i) D. (x-1)(x + 2i)(x+2i)

What are the zeros of the function f(x) = (x+5)(2x-8) ? A. x= -5 and x = 8 B. x = -5 and x = 4 C. x = 5 and x = -4 D. x = 5 and x = -8

Which of the following are not polynomials? A. x² +0x²+2x+√2 B.2/x3 +1/2 C. x2/3+√3x+1 D.2/3+x-2+1 E. x-2+x+1

Simplify (assuming all variables are positive): √16a²b³ 4a²b² √b ab√16b 4avb 4ab√b

Simplify: 48x^4−72x^3+44x/24x^2 48x^2 + 41x 48x^5 – 72x^3 + 11/6x 2x^3-3x + 11/6x 2x^3 - 72x^3 +44x

If P = (2, -1), find the image of P under the following rotation. 90° counterclockwise about the origin ([?], [])

A group of friends went to lunch. The bill, before sales tax and tip, was $37.50. A sales tax of 8% was added. The group then tipped 18% on the amount after the sales tax was added What was the amount, in dollars of the sales tax?

Which of the following represents "ten times the sum of a number and fourteen is equal to nine times the number"? 10(N+14) = 9N 10(N +9N) = 14 10(9N+14) = N

A student submitted the following work that is not correct. Can you find the mistake? Explain the mistake the student made. Simplify (assuming all variables are positive): √32x^3y^2z^7 Step 1: √8.4.x^2.x.y^2.z^6. z Step 2: 2xyz^3√8xz

If the zeros of a quadratic equation are -2 and 4, what would be the factors? (x + 2)(x+4) (x + 2)(x-4) (x-2)(x+4)

Select all that describe the graph of y = -2/3(4)^x+3 - 4 as compared to y = 4^x (Choose 4) horizontal shift to the left 3 vertical stretch vertical shift up 4 vertical shift down 4 horizontal shift to the right 3 reflection over the y-axis vertical compression reflection over the x-axis

Find the vertex: f(x) = -3x² + 18x - 25 (-2,-73) (-3,-106) (2.3) (3,2)

Solve the equation by taking square roots: -3(x - 2)² +33 = 0 x = -2+√30 or x = -2-√30 x = 2+√11 or x = 2-√11 x = 2+√30 or x = 2-√/30 x = -2+√11 or x = -2-√11

A scalene triangle has symmetry with respect to a line containing a median of the triangle. True False

Select all that describe the graph of f(x) = -3. 2x as compared to the graph of f (x) = 2x exponential growth vertical stretch reflected over the x-axis vertical compression exponential decay reflected over the y-axis

Solve by completing the square: x² - 6x = 22 x=3+√31 or x = 3-√31 x=-3+√√31 or x = -3-√3 x=3+√13 or x = 3-√13 x=-3+√13 or x = -3-√13

The target temperature for a laboratory is 68° Fahrenheit. It can vary by up to 4°. If t is the temperature in the laboratory, which of the following inequalities represents this situation? A. |t + 4| ≤ 68 B. |t+ 68| ≤ 4 C. |t - 68| ≤ 4 D. |t-4| ≥ 68

Victoria was given the expression -3x+x²-8+4x-3x² -2 and asked to simplify it. How can she simplify the expression? A. 4x²+7x+6 B. -2x²+x-10 C. -4x²-7x-6 D. 2x²-x+10

Simplify (assuming all variables are positive): √75x³y³ 5xy √3xy 25x²y²√3xy 25xy √3xy 5x²y²√3xy

A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be built along the highway exactly 5 miles away from milepost 63. If mis the milepost number of the rest area, which of the following equations represents the possible locations for the rest area? A. |m + 5| = 63 B. |m - 5| = 63 C. |63 + m| = 5 D. |63-m| = 5

In the polynomial function below, what is the leading coefficient? F(x) = x² +8-5x³-19x A. 1/2 B. 8 C. -19 D. 2 E. -5

Japan became a major economic power after World War II due to 1. the support of the Soviet Union and Warsaw Pact nations 2. a focus on the production and exportation of consumer goods 3. spoils of war brought home by Japanese soldiers 4. the acquisition of new markets through military conquest

Solve for x. 16x - 5 = 18x - 2 x = 1 1/2 x = -3 1/2 x = -1 1/2 x = 3 1/2

Which of the following describe the graph of y=1/3(3/2)^x compared to y = (3/2)^x. (Choose 2) Reflection across the x-axis Reflection across the y-axis Vertical Compression Exponential Decay Vertical Stretch Exponential Growth

Select all that describe the graph of f(x) = 1/3(1/5)* as compared to the graph of f(x) = (1/5) (Choose 2) reflected over the x-axis vertical compression exponential growth reflected over the y-axis Oexponential decay vertical stretch

Given quadrilateral RSTU, tell which sides (if any) are parallel and which are perpendicular for the coordinates of the vertices. R(-1, 1), S(1, -2), T(4, 0), U(3, 3) Click on the graphic to complete the answer RS ST

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. (-2, -1), (-5, -1), (0, 4), (5, -1), (2, -1), (2, 1), (-2, 1), (0, 5), (0, 1).

Factor, if possible. y²+y-2 Select the correct choice below and fill in any answer boxes within your choice. A. y²+y-2= (Type your answer in factored form. Factor completely.) B. The polynomial is prime.

Solve the equation b factoring: b² = -4b+ 21 Ob=7 or b=3 Ob=-7 or b=3 Ob= 7 or b=-3 Ob=-7 or b=-3