When carrie mows a lawn, she charges a flat fee of $5 plus an hourly rate, r. carrie worked 2 hours at her last job. the equation 2r+5=20 represents, in dollars, what carrie charged. what is carrie's hourly rate?

Carrie's hourly rate = $7.5 per hour.

Step-by-step explanation:

Flat fee charged by Carrie = $5

Hourly rate charged by Carries is given = per hour

Working 2 hours at job, the equation that represents amount charged by Carrie is given by:

Evaluating the above equation to find Carrie's hourly rate

Subtracting both sides by 5.

Dividing both sides by 2.

∴

∴ Carrie's hourly rate = $7.5 per hour.

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0