Solve the problem.The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 2 units long. Express the area A of the rectangle in terms of x.

A. A(x) = 2x(1 - x)
B. A(x) = 2x(x - 1)
C. A(x) = x(1 - x)
D. A(x) = 2x2


Answer: A

Mathematics

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f(x) =   x ? 0

A. f(x) is increasing on [?, 2?], [3?, 4?],...
f(x) is concave up on , . . .
B. f(x) is increasing on [0, ?], [2?, 3?],...
f(x) is concave up on , . . .
C. f(x) is increasing on [0, ?], [2?, 3?],...
f(x) is concave up on (0, ?), (2?, 3?), (4?, 5?), . . .
D. f(x) is increasing on , . . .
f(x) is concave up on [0, ?], [2?, 3?], . . .

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Add or subtract as indicated. Write the answer in lowest terms. +  - 

A.
B.
C.
D.

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Solve the system of nonlinear equations.x2 + y2 = 56 - y = 0

A. No solution
B. (7, ), (-7, - )
C. (7, ), (-7, )
D. (7, )

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Evaluate the expression for the given replacement values.x + z for x = 8.3, z = 0.72

A. 7.58 B. 15.5 C. 9.02 D. 18.04

Mathematics