Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.f(x) = -7x4 - 8x3 - 2x2 - 2x + 3

A. 0 or 2 positive; 0 or 2 negative
B. 1 positive; 2 negative
C. 1 positive; 1 or 3 negative
D. 1 positive; 1 negative


Answer: C

Mathematics

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Solve the linear programming problem.A breed of cattle needs at least 10 protein and 8 fat units per day. Feed type I provides 6 protein and 2 fat units per bag at $4 per bag. Feed type II provides 2 protein and 3 fat units per bag at $3 per bag. What mixture of Feed type I and Feed type II will fill the dietary needs at minimum cost?

A. Use 1 bag of Feed type I and 1 bag of Feed type II. B. Use 4 bags of Feed type I and 0 bags of Feed type II. C. Use 1 bag of Feed type I and 2 bags of Feed type II. D. Use 0 bags of Feed type I and 5 bags of Feed type II.

Mathematics

Solve the problem.Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. A certain radioactive isotope decays at a rate of 0.2% annually. Determine the half-life of this isotope, to the nearest year.

A. 3 years B. 347 years C. 250 years D. 151 years

Mathematics

Fill in the blank with one of the words or phrases listed below.To convert from one unit of length to another,  may be used.

A. weight B. energy C. mass D. unit fractions

Mathematics

Multiply.(7a - 8)2

A. 7a2 - 112a + 64 B. 49a2 + 64 C. 49a2 - 112a + 64 D. 7a2 + 64

Mathematics