Find the maximum value of the objective function f (x, y) = x - y + 1, subject to the constraints x ≥ 0, - x + y ≥ 0, and y ≤ 2.

A farmer finds that if she plants 100 trees per acre, each tree will yield 35 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels.

Terrance must decide which job offer to accept. one job pays $25 per hour for 37 1/2 hours each week and the other pays $825 per week regardless of how many hours he works. which job should terrance take? why?

Which numbers are a distance of 3 units from - 1-1 on a number line?

Sarah is 12 years old. Her sister, Emily, is 8 years less than 3 times Sarah's age. Write an expression for Emily's age in terms of Sarah's age, s.

The following data was collected on a cheetah. It ran ½ mile in 2/3 min, ¼ mile in 1/3 min, and ¾ mile in one minute. 1. Give one method that can be used to prove that the different rates for the cheetah's data are proportional or non-proportional.

You have an important message that needs to be delivered to seven other people. Everyone who knows the message, can also spread it via phone, but only to one person at a time. Conveying the message takes exactly one minute (dialing included).

Let f (x) = 6x. The graph of f (x) is transformed into the graph of g (x) by a vertical compression of 13 and a translation of 2 units up. What is the equation for g (x) ? Enter your answer in the box.

Which is the best estimate for the weight of a stapler 4 ounces for pounds 4 inches or feet

Whats the range of 78,89,93,73,99,87,92,89

The product of three numbers is - 216 but their sum is - 18. What are these three numbers?