Question

14. Find two positive real numbers with a maximum product whose sum is 110. Write one number in each blank.
15. Find two positive real numbers where the sum of the first number and twice the second is 36. Find the two numbers that maximize the product. Write one number in each blank.
16. A rectangular garden is planted right up next to the wall of a building, and it going to have edging on three sides. If 54 feet of edging a purchased, what are the dimensions of the garden that maximize its area? Draw a picture and type one number in each blank. Round to the nearest tenth if needed. Be sure to label your answers.
Use the following situation to answer the questions that follow: A ball is thrown up in the air, and it's height as a function of time can be written as h(t) = -16t2 + 40t + 3.
17. What is the y-intercept and what does it mean?
18. When is the ball at it's maximum height? Round to the nearest hundredth if needed.
19. What is the maximum height of the ball? Round to the nearest tenth if needed.
20. When does the ball hit the ground? Round to the nearest hundredth of a second.

Answer 1

x+y=110

y=110-x