Solve the problem.The area of a trapezoid is 30x2 - 15x. The area of a smaller trapezoid is 20x - 10. Find an expression, in factored form, for the difference of the areas of the two trapezoids.

A. 5(2x + 1)(3x - 2)
B. (5x - 1)(6x - 1)
C. 5(2x - 1)(3x - 2)
D. 5(3x - 1)(2x + 2)


Answer: C

Mathematics

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Analyze the situation and explain how you would make a decision.Your current cell phone company charges $30 per month for unlimited minutes. Another company charges $20 per month for the first 500 minutes plus 5¢ a minute for any additional minutes. Should you keep your current service or switch to the other company?

What will be an ideal response?

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Evaluate the integral f(x, y, z)dV where f(x, y, z)= xy + yz and B = { x, y, z) | 0 ? x ? 2, -1 ? y ? 1, 0 ? z ? 3} with respect to x, y, and z, in that order.

Select the correct answer. a. 4 b. 28 c. 36 d. 24

Mathematics

Solve the problem.A radio transmission tower is 170 feet tall. How long should a guy wire be if it is to be attached 14 feet from the top and is to make an angle of 35° with the ground? Give your answer to the nearest tenth of a foot.

A. 190.4 feet B. 272.0 feet C. 296.4 feet D. 207.5 feet

Mathematics

Evaluate the algebraic expression for the given value(s)., given x = 6, y = 4

A. 1 B. 0 C. 2 D. 3

Mathematics