PLEASE ANYONE HELP :(( I NEED THIS BY TODAYY !! I'll do anythinggg :( Algrebra 1 I CAN-Performance Task: Backyard with Quadratics

Task 1: A home improvment show is designing a backyard for a family. They want to install a regtangular pool in the center of the backyard. It will have two equal square sections of grass on each side of the pool the same width as the pool. The entire length of the backyard is 40 feet. Let "w" represent the width of each square section of grass. What width, w, would allow the family to get the maximum area out of their pool design.

a. Sketch the backyard design and label your sketch.

b. Write an expression to represent the length of the pool.

c. Write the function A(w) to represent the area of the pool as a function of the width, w, only.
Hint: Use your expression in part b and remember: Area= length x width.

d. Graph your function with technology (desmos) to determine the absolute maximum of this function. Sketch your graph below and lable the maximum point. (Be sure to also lable and scale your axes!)

e. Use your maximum point to answer the original question: What width, w, would allow the family to get the maximum area out of their pool design?

f. What is the maximum area for the pool?​

One integer is 5 more than another. their product is 104. find the integers

Part a: sam rented a boat at $225 for 2 days. if he rents the same boat for 5 days, he has to pay a total rent of $480. write an equation in the standard form to represent the total rent (y) that sam has to pay for renting the boat for x days. (4 points)

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.