If f(x) = 5x – 4 and g(x) = 4x + 1, find (f – g)(x). a. 9x – 5 b. 9x – 3 c. 5 – x d. x – 5

(f – g)(x) = f(x) - g(x) = (5x – 4) - (4x + 1)= 5x - 4 - 4x - 1 = x - 5

Answer is D. (x-5).

(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

to complete this square you have to rotate about the origin 270 degrees clockwise.