From 2000 to 2015, the number of births, b. (in the hundreds) in Fairfield County can be modeled by the function bx) = 300 - 5x. The number of deaths, d, in the hundreds) can be modeled by the function d(x) = 10x + 5. The variable x represents the number of years since 2000. a. Which function operation can be used to represent the net increase in the population?

b. Write and simplify a function which represents the net increase in the population, p, against x, the number of years since 2000. State the domain of this function.​

(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

they would have to work 32 hours.

1. supplementary angles

2. acd and bcd

step-by-step explanation: