The sum and product of two linear functions are shown. Which statements can be used to describe the original functions f(x) and g(x)? Select three options.

When added, the sum of the y-intercepts must be 8.
When multiplied, the product of the y-intercepts must be 8.
Either f(x) or g(x) has a positive rate of change and the other has a negative rate of change.
f(x) could have a rate of change equal to 3 and g(x) could have a rate of change of –3.
f(x) could have a rate of change equal to 2 and g(x) could have a rate of change of –1.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

5/20 so 25%

step-by-step explanation: