Find the minimum or maximum value of f (as indicated) subject to the given constraint.Minimum of f(x, y) = x2 + 2y2 - xy,subject to x + y = 8

A. Minimum = 28 at (3, 5)
B. Minimum = 25 at (2, 6)
C. Minimum = 28 at (5, 3)
D. Minimum = 25 at (6, 2)


Answer: C

Mathematics

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The following table shows the running speed R, in centimeters per second, of ants as a function of the temperature T in degrees Celsius. Use linear regression to model running speed as a function of temperature. ?  T 25.6 30.3 32.3 34.8 R 2.21 3.43 4.76 5.39? ?

A.
B.
C.
D.

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Solve the problem.If f(x) = -6x + 6 and g(x) = 2x + 7, find g(f(x)).

A. -12x + 48 B. 12x + 19 C. -12x - 5 D. -12x + 19

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Using a graphing calculator to graph f and g in the window [0, 6, 1] by [0, 6, 1]. Which function is greater when ?f(x) = x0.81, g(x) = x2.4

A. g(x) B. f(x)

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Find an equation of the line:with y-intercept (0, 2) and slope - .

A. y = x - 2
B. y = - x - 2
C. y = - x + 2
D. y = x + 2

Mathematics