Factor completely.12x2 - 52x - 40

A. 4(3x - 2)(x + 5)
B. 4(3x + 2)(x - 5)
C. (3x + 2)(4x - 20)
D. (12x + 8)(x - 5)


Answer: B

Mathematics

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Use units to help you answer the question. If necessary, round your answer to two decimal places.Suppose water flows from a shower at a rate of 0.32 cubic feet per minute. Do you use more water by taking a 12-minute shower or by filling a bathtub with 0.4 cubic yards of water, and by how much?

A. Bath uses an additional 6.96 ft3 of water B. Bath uses an additional 3.44 ft3 of water C. Shower uses an additional 3.44 ft3 of water D. Shower uses an additional 6.96 ft3 of water

Mathematics

For the given f(x), state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.f(x) = 3.1(0.27)x

A. C = 0.837; a = 0.27; R = -73% B. C = 0.837; a = 1.27; R = 73% C. C = 3.1; a = 1.27; R = 127% D. C = 3.1; a = 0.27; R = -73%

Mathematics

Determine if each statement is true if

(i) PQRS is a rectangle
(ii) PQRS is a square
In each case, if true, explain why.




(a) PR ? SQ
(b) ?STP ? ?QTR
(c) ?STP = 90°
(d) ?QPT ? ?SRT

Mathematics

Solve the problem.A company models its yearly expenses in millions of dollars using the equation  where  represents 1990. The company's account manager decides to adjust the model so that  corresponds to 1995 rather than 1990. To do this, she obtains  Use the Binomial Theorem to express g(t) in descending powers of t.

A. 0.07t3 - 1.75t2 + 13.59t + 2.39 B. 0.07t3 + 0.35t2 - 0.41t + 0.75 C. 0.07t3 + 0.35t2 + 13.59t + 6.35 D. 0.07t3 - 1.75t2 - 2.16t + 13.35

Mathematics