Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

A.
B. 7
C.
D.


Answer: C

Mathematics

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Solve the problem.The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference schedule below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S).Determine the winner using the Borda count method.

A. Smith B. Jones C. Clark D. Jones and Smith tie.

Mathematics

Find fx, fy, and fz.f(x, y, z) = x2y + y2z + xz2

A. fx = 2xy + z2; fy = x2 + yz; fz = y2 + xz B. fx = 2xy; fy = x2 + 2yz; fz = y2 + 2xz C. fx = 2xy + z2; fy = x2 + 2yz; fz = y2 + 2xz D. fx = 2y + z2; fy = x2 + 2z; fz = y2 + 2x

Mathematics

For the function f and number a, find the function that gives the slope of the secant line, s(x) = , for x ? a. Then describe the behavior of the function values as x approaches a. f(x) = 2x2 - 4; a = -1

A. s(x) = 2(x + 1) for x ? -1; as x ? -1, s(x) ? 0 B. s(x) = 2(x - 1) for x ? -1; as x ? -1, s(x) ? -8 C. s(x) = 2(x - 1) for x ? -1; as x ? -1, s(x) ? -4 D. s(x) = 2(x + 1) for x ? -1; as x ? -1, s(x) ? 2

Mathematics

Determine whether the pair of lines is parallel, perpendicular, or neither. 3x - 6y = -5 16x + 6y = 17

A. parallel B. perpendicular C. neither

Mathematics