Find the minimum or maximum value of f (as indicated) subject to the given constraint.Minimum of f(x, y) = x2 - 14x + y2 - 16y,subject to 2x + 3y = 12

A. Minimum = -68 at (1, 5)
B. Minimum = -15 at (0, 1)
C. Minimum = -61 at (3, 2)
D. Minimum = -24 at (2, 0)


Answer: C

Mathematics

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Provide an appropriate response.Determine the total surface area of the given figure. The dimensions are in inches. 

A. 838 in2 B. 630 in2 C. 1,560 in2 D. 315 in2

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Find the center and radius of the circle.x2 + y2 = 64

A. Center: (0, 0); radius: 8 B. Center: (1, 1) ; radius: 8 C. Center: (0, 0) ; radius: 64 D. Center: (1, 1); radius: 64

Mathematics

Find the square.(0.7x + 0.3)2

A. 0.49x2 - 0.42x - 0.09 B. 0.49x2 + 0.09 C. 0.49x2 - 0.42x + 0.09 D. 0.49x2 + 0.42x + 0.09

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Plot a scatter diagram.Draw a scatter diagram of the given data. Find the equation of the line containing the points (2, 1.0) and  Graph the line on the scatter diagram.

A. y = 0.51x - 0.03

B. y = 0.5x + 0.07

C. y = 0.57x + -0.03

D. y = 0.42x + 0.17

Mathematics