Solve the problem.Find (fg)(4) when f(x) = x - 6 and g(x) = -4x2 + 19x + 5.

A. -194
B. -590
C. 170
D. -34


Answer: D

Mathematics

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Find all the local maxima, local minima, and saddle points of the function.

A. f(0, 0) = 5392, local maximum; f(0, 8) = 1296, saddle point; f(6, 0) = 4096, saddle point;
f(6, 8) = 0, local minimum; f(-6, -8) = 0, local minimum
B. f(0, 0) = 5392, local maximum; f(0, 8) = 1296, saddle point; f(0, -8) = 1296, saddle point;
f(6, 0) = 5392, saddle point; f(6, 8) = 0, local minimum; f(6, -8) = 0, local minimum;
f(-6, 0) = 4096, saddle point; f(-6, 8) = 0, local minimum; f(-6, -8) = 0, local minimum
C. f(0, 0) = 5392, local maximum; f(6, 8) = 0, local minimum; f(6, -8) = 0, local minimum;
  local minimum; f(-6, -8) = 0, local minimum
D. f(0, 0) = 5392, local maximum; f(-6, -8) = 0, local minimum

Mathematics

Match the given equation with one of the graphs.(y + 2)2 = 4(x + 4)

A.

B.

C.

D.

Mathematics

Determine whether the given number is approximate or exact.One mole of an element contains 6.022 × 1023 atoms.

A. Exact B. Approximate

Mathematics

Use an identity to write the expression as a single trigonometric function or as a single number.1 - 2 sin210°

A. cos 5° B. cos 20° C. sin 5° D. 2 sin 20°

Mathematics