Factor the trinomial completely.x4 - 9x3 + 14x2

A. (x2 - 2)(x2 - 7)
B. x2(x - 14)(x - 1)
C. x2(x + 2)(x + 7)
D. x2(x - 2)(x - 7)


Answer: D

Mathematics

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A. n2 + 32n + 256 B. 256n2 + 32n + 256 C. n + 256 D. n2 + 256

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Solve the problem.A measure of diversity of species in an ecological community is given by the formula  where P1, P2, ... ,Pn are the proportions of a sample belonging to each of n species found in the sample. A bog in northeastern Illinois has 5 species of birds with these proportions: cardinal, 0.204; robin, 0.28, sparrow, 0.217; oriole, 0.248; woodpecker, 0.051. Find the index of diversity, H.

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Provide an appropriate response.To reduce inventory, a department store charges three rates. If you buy 0-5 pairs of socks, the price is $3.50 per pair of socks. If you buy 6-10 pairs of socks, the price is $3.00 per pair. If you buy more than 10, the price is $2.75 per pair. Graph the compound function that represents the cost of buying N pairs of socks.

What will be an ideal response?

Mathematics

Find the values of the variables. = 

A. x = 2, y = 8, m = 5 B. x = -2, y = 8, m = -5 C. x = 2, y = -8, m = 5 D. x = 8, y = -2, m = -5

Mathematics