Solve the problem.The amount of money that Pablo makes in a given week varies directly as the number of hours he works that week. In a week in which he works 32 hours, he makes $608. How much will he make in a week in which he works 50 hours?
A. $960
B. $965
C. $950
D. $945
Answer: C
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Evaluate the integral using the given substitution. dx , u = x5 - 1
A. (x5 - 1)6 + C
B. x30 - 1 + C
C. (x5 - 1)6 + C
D. (x5 - 1)4 + C
Which of the following best exemplifies progressive formalization?
a. A student initially uses informal language to describe a linear relationship represented in a story. Later on, she uses conventional algebraic symbols to describe and investigate the situation. b. A student gradually becomes more comfortable sharing his or her mathematical ideas with a teacher by using the teacher's formal title. c. Students learn how to multiply binomials by using the FOIL method, and then later learn why the FOIL method works. d. At the beginning of an algebra unit on the slope of a line, the teacher informs students that the literal symbol "m" is usually used to represent slope.
Solve the problem.Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $6500 the first year that the dealer opened and $68,500 five years after opening. Let x = 0 represent the first year. (a) Find the equation giving yearly sales y. Write your answer in slope-intercept form. (b) Use your equation from part (a) to estimate sales in the third year.
A. (a) y = 12,400x + 68,500; (b) $93,300 B. (a) y = 62,000x + 68,500; (b) $192,500 C. (a) y = 12,400x + 6500; (b) $31,300 D. (a) y = 62,000x + 6500; (b) $130,500
Factor the trinomial, if possible.4x3 + 8x2 - 60x
A. 4x(x - 3)(x + 5) B. (4x2 + 12x)(x - 5) C. 4x(x + 3)(x - 5) D. (x - 3)(4x2 + 20)