Find f'(x) at the given value of x.f(x) = x2 - 7x - 1; Find f'(-2).

A. -12
B. -4
C. -11
D. 17

Answer: C

Mathematics

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Factor completely. If the polynomial is prime, so state.21x3 - 78x2 + 45x

A. 3x(x + 3)(7x + 5) B. x(3x - 3)(7x - 5) C. 3x(x - 3)(7x - 5) D. prime

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Find an equation of an ellipse satisfying the given conditions.Foci: (±8, 0), vertices: (±10, 0)

A. 36x2 - 100y2 = 36 B. 36x2 + 100y2 = 100 C. 100x2 + 36y2 = 3600 D. 36x2 + 100y2 = 3600

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Find the axis of the graph of the function.f(x) = (x + 1)2 + 7

A. y = -1 B. x = 0 C. x = 1 D. x = -1

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Mathematics

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.a = ; r = 

A. a5 = 81, an = 3n-1/2 
B. a5 = 3, an = 3n/2-1 
C. a5 = 9, an = 3n/2 
D. a5 = 243, an = 3n 

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Mathematics