Factor.a6 - 64b6
A. (a + 2b)(a - 2b)(a4 + 4a2b2 + 16b4)
B. (a + 2b)(a - 2b)(a2 + 2ab + 4b2)(a2 - 2ab + 4b2)
C. (a2 - 4b2)(a4 + 4a2b2 + 16b4)
D. (a3 + 8b3)(a3 - 8b3)
Answer: B
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Solve the problem.Given that P(A) = 0.68, P(B) = 0.11, and P(A ? B) = 0.07, find P(A ? B).
A. 0.79 B. 0.86 C. 0.65 D. 0.72
Solve the problem.A bookstore is having a sale. All books included in the sale have a colored sticker on them to indicate the sale price. There are green stickers, red stickers, and orange stickers. Bob, Sue, and Fred each make purchases of books that are on sale. Each row of the table gives information about the numbers of book purchases and the total cost of the purchase (before taxes).Use this information to set up a matrix equation of the form
which can be solved to determine the price for each type of sale book. Solve this matrix equation to find the price of a
book with a green sticker.Use the fact that for A = , A-1 =
.
A. $4.96
B. $4.91
C. $4.89
D. $4.99
Solve the problem.The population P, in thousands, of Prairie Grove is given by P = , where t is the time, in months. Determine the interval on which the population was greater than or equal to 40 thousand.
A. (-?, ?) B. [0.83, 5.42] C. [0.664, 4.336] D. [4.336, ?)
Factor completely.u2 - 4uv - 21v2
A. (u - v)(u + 7v) B. (u - 3v)(u + v) C. (u - 3v)(u + 7v) D. (u + 3v)(u - 7v)