Find the maximum and minimum values of the function for the polygonal convex set determined by the given system of inequalities. x+y ≥ 2

8x-2y ≤ 16

4y ≤ 6x+8

f(x, y) = 4x+7y

ANSWER:

The maximum value is 72 at the point (4, 8) and the minimum value is 8 at the point (2, 0).

Suppose a pendulum is l meters long. the time,t,in seconds that it tales to swing back and forth once is given by t=2.01

Which inequality is equivalent to -3x < -12? x < 4 , x < -4 , x > 4, x > -4

If the car had not hit the fence, how much farther would it have skidded? solve the skid-distance formula to find the extra distance that the car would have traveled if it had not hit the fence. round your answer to two decimal places. note that unit conversion is built into the skid distance formula, so no unit conversions are needed.