Solve the problem.Find the cost function if the marginal cost function is C'(x) = 10x - 7 and the fixed cost is $12.

A. C(x) = 10x2 - 7x + 12
B. C(x) = 5x2 - 7x + 11
C. C(x) = 5x2 - 7x + 12
D. C(x) = 10x2 - 7x + 11


Answer: C

Mathematics

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For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.f(x) = 3x + 5; g(x) = 4x - 3;Find .

A. (x) = ; (-?,  ? , ?)
B. (x) = ; (-?,  ? , ?)
C. (x) = ; (-?,  ? , ?)
D. (x) = ; (-?,  ? , ?)

Mathematics

Solve the problem.An object is thrown upward with an initial velocity of 27 feet per second from the top of a 504-foot building. The height of the object at any time t can be described by the polynomial function  Find the height of the object at t = 5 seconds.

A. 131 ft B. -265 ft C. 559 ft D. 239 ft

Mathematics

Determine whether there is a maximum or minimum value for the given function, and find that value.f(x) = -9x2 - 108x - 326

A. Minimum: 2 B. Maximum: 2 C. Maximum: -2 D. Minimum: 0

Mathematics

Determine where the given function is increasing and where it is decreasing. f(x) = x4 - 32x2 - 3

A. Decreasing on (-?, -4] and [4, ?), increasing on [-4, 4] B. Decreasing on (-?, -4] and [0, 4], increasing on [-4, 0] and [4, ?) C. Increasing on (-?, -4] and [0, 4], decreasing on [-4, 0] and [4, ?) D. Increasing on (-?, -4] and [4, ?), decreasing on [-4, 4]

Mathematics