The following table shows the length and width of a rectangle:
length width
rectangle a 4x + 5 3x − 2
which expression is the result of the perimeter of rectangle a and demonstrates the closure property?
14x + 6; the answer is a polynomial
14x + 6; the answer may or may not be a polynomial
2x + 6; the answer is a polynomial
2x + 6; the answer may or may not be a polynomial

the expression is 14x + 6; the answer is polynomial ⇒ 1st answer

step-by-step explanation:

* lets explain how to solve the problem

∵ the length of the rectangle is 4x + 5

∵ the width of the rectangle is 3x - 2

∵ the perimeter of the rectangle = 2(length) + 2(width)

- lets calculate the perimeter of the rectangle

∵ 2(length) = 2(4x + 5) = 2(4x) + 2(5) = 8x + 10

∴ 2(length) = 8x + 10

∵ 2(width) = 2(3x - 2) = 2(3x) - 2(2) = 6x - 4

∴ 2(width) = 6x - 4

∵ the perimeter = 2(length) + 2(width)

∴ the perimeter = 8x + 10 + 6x - 4

∴ the perimeter = (8x + 6x) + (10 - 4)

∴ the perimeter = 14x + 6

∵ 4x + 5 and 3x - 2 are polynomials

∵ the polynomials are closed under the addition

∵ polynomials will be closed under an operation if the operation

  produces another polynomial

∴ 14x + 6 is a polynomial

* the expression is 14x + 6; the answer is polynomial

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

about 168 miles

step-by-step explanation: