A community builds a sandbox section and a playground section at one of the local parks. The area of the playground section is 1,675 square feet. It is 100 square feet more than 4.5 times the area of the sandbox section
• Write an equation that can be used to determine the area, A, of the sandbox section.
• What is the area of the sandbox section? Show all work.

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

17

step-by-step explanation:

51/3=17

thus 17 is your answer.

i think the length is 12 and the width is 17

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.