Solve the problem.Suppose that P(x) represents the percentage of income spent on food in year x and I(x) represents income in year x. Determine a function F that represents total food expenditures in year x.

A. F(x) = (x)
B. F(x) = (P ? I)(x)
C. F(x) = (P + I)(x)
D. F(x) = (I - P)(x)


Answer: B

Mathematics

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Evaluate the radical function. If the function value is not a real number, state so.If f(x) = , find f(11).

A. 2 B. 1 C. -2 D. 8

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Solve the problem.Find an equation for the level curve of the function f(x, y) =  that passes through the point .

A.  ? 
B.  = 
C.  = 4
D. x = 4y

Mathematics

Provide an appropriate response.A television manufacturing company makes two types of TV's. The cost of producing x units of type A and y units of type B is given by the function C(x, y) = 100 + x3 + 64y3 - 96xy. How many units of type A and type B televisions should the company produce to minimize its cost?

Fill in the blank(s) with the appropriate word(s).

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Find the x'y' coordinates of the point (10, 9) if the coordinate axes are rotated through 30°.

Mathematics