4. Solve the problem. A patio is configured from a rectangle with two right triangles of equal size attached at the two ends. The length of the rectangle is 38 ft. The base of the right triangle is 4 ft less than the height of the triangle. If the total area of the patio is 1155 ft2, determine the base of the triangular portions.

A.base = 18 ft

B.base = 20 ft

C.base = 15 ft

D.base = 17 ft Solve the problem.

5. The daily profit in dollars made by an automobile manufacturer is P(x) = -40x2 + 2000x - 16,000 where x is the number of cars produced per shift. Find the maximum possible daily profit. [Hint: Maximum at Xmax = -(b/2a) where a=-40 and b=4000. Find P(xmax) to find the answer.]

A$8550

B$25,000

C$8280

D$9000

Solve the problem.

6. The temperature at a state park for one day in June can be approximated by the function T(x) = 0.28x2 - 4.48x + 84 0 x 18 where T is degrees Fahrenheit and x is the number of hours after 5 PM on Friday. At what time is the temperature lowest? Round to the nearest hour. [Hint: Minimum occurs at xmim= -(b/2a) where b = -4.48 and a = 0.28. To find the time add Xmin to 5 PM.] Group of answer choices

A.11 PM

B.5 PM

C.8 AM

D.1 AM