Given

(a) Find the intervals on which f is increasing or decreasing.
(b) Find the relative maxima and relative minima of f.


(a) Increasing on (-?, -2) and (3, ?), decreasing on (-2, 3)
(b) Rel. max. f(-2) = 50,
rel. min. f(3) = -75

Mathematics

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Solve.When Maria finished medical school she owed $42,000 in student loans. She repaid  of the total amount within two years of graduating. How much did she repay within two years of graduating?

A. $33,600 B. $30,240 C. $3360 D. $36,960

Mathematics

For the given functions f and g, find the requested composite function.f(x) = , g(x) = 5x + 2;Find (g ? f)(x).

A. x - 
B. x + 4
C. 5x + 8
D. x

Mathematics

Use the given table for y = ax2 + bx + c to solve ax2 + bx + c < 0 or ax2 + bx + c > 0, as indicated.y = x2 + 15x + 54; ax2 + bx + c > 0

A. 6 < x < 9 B. x < -9 or x > -6 C. -9 < x < -6 D. x < 6 or x > 9

Mathematics

Solve the system by the substitution or elimination method. 

A.
B.
C.
D.
E. none of these

Mathematics