Provide an appropriate response.If the cost to produce x units of a product is C(x) = 0.5x2 + 9x + 440 and the marginal cost function is C'(x), then find C''(x), the rate of change of the marginal function with respect to x.
Fill in the blank(s) with the appropriate word(s).
C''(x) = 1
Mathematics
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Simplify.9x3(7x7 + 8)
A. 63x7 + 72 B. 135x3 C. 63x10 + 8 D. 63x10 + 72x3
Mathematics
Find the slope.Find the slope of a line perpendicular to the line -5x + 2y = -1.
A. -1
B. - 
C. 
D. undefined
Mathematics
Solve the problem. Assume all variables represent nonnegative real numbers.For f(x) = 8 - 
and g(x) = 3 - 
, find (f ? g)(x).
A. (f ? g)(x) = 24 - x2
B. (f ? g)(x) = 24 - 11x + x2
C. (f ? g)(x) = 24 + 11
- x
D. (f ? g)(x) = 24 - 11
+ x
Mathematics
Express as a product.log b N-8
A. log b N ? log b 
B. N log b 
C. -8 log b N
D. log b N ? log b N
Mathematics