Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.(-3x6y-7)(5x-1y)
A.
B.
C. -15x5y8
D.
Answer: A
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Solve the equation.21 = -16 + x
A. x = 5 B. x = -5 C. x = -37 D. x = 37
Evaluate. Round dollar amounts to the nearest cent and other answers to the nearest thousandth when necessary.P kn for P = $12,000, n = 6, r = 8%, k = 4
A. $19,042.49 B. $18,922.79 C. $19,301.25 D. $7301.25
Write the appropriate rotation formulas so that in a rotated system the equation has no x'y'-term.4x2 + 5xy + 4y2 - 8x + 8y = 0
A. x = x' -
y'; y =
x' +
y'
B. x = x' -
y'; y =
x' +
y'
C. x = (x' - y'); y =
(x' + y')
D. x = -y'; y = x'
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = x3 - 3x + 3, (-2, 2)
A. local maximum at (-1, 5) local minimum at (1, 1) increasing on (-2, -1) and (1, 2) decreasing on (-1, 1) B. local maximum at (1, 1) local minimum at (-1, 5) increasing on (-2, -1) decreasing on (-1, 1) C. local maximum at (1, 1) local minimum at (-1, 5) increasing on (-2, -1) and (1, 2) decreasing on (-1, 1) D. local maximum at (-1, 5) local minimum at (1, 1) increasing on (-1, 1) decreasing on (-2, -1) and (1, 2)