Express the given function H as a composition of two functions f and g such that H(x) = (f ? g)(x).H(x) = 

A. f(x) = , g(x) = -87x2 + 12
B. f(x) = , g(x) = x2
C. f(x) = -87x2 + 12, g(x) = 
D. f(x) = , g(x) = 


Answer: A

Mathematics

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Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers.3

A.
B.
C.
D.

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Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 - 12x = 8y - 68

A. vertex: (6, 4)
focus: (6, 6)
directrix: y = 2

B. vertex: (6, 4)
focus: (8, 4)
directrix: x = 4

C. vertex: (6, 4)
focus: (6, 2)
directrix: y = 6

D. vertex: (6, 4)
focus: (4, 4)
directrix: x = 8

Mathematics

Graph the function.f(x) = 

A.

B.

C.

D.

Mathematics

The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, ?).y2 = 16x

A. sin2 ? = 16r2 cos ? B. r2 sin2 ? = 16 cos ? C. sin2 ? = 16r cos ? D. r sin2 ? = 16 cos ?

Mathematics