An airline uses the function below to calculate the profits earned from a 1,980-mile flight of a commercial jet that has a maximum seating ca 200 passengers. In the function, x represents the number of passengers on board the plane.
P(*) = $3493 - $39,600
What is the domain of P(x)?
A. all non-negative integers less than or equal to 200
B. all non-negative integers greater than or equal to 113.47
C. all real numbers
D. all integers less than or equal to 200
A
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answer: about 22.67

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

d is the answer

step-by-step explanation: