Video games sold: x
revenue function: r(x) = 60x
cost function: c(x) = 12 + 7x
profit function: p(x)
done
67x + 12
67x - 12
53x + 12
53x - 12

The correct answer is D. 53x - 12

Step-by-step explanation:

Let's find P(x), this way:

Profits = Revenue - Cost

Profit function = Revenue function - Cost function

P (x) = R (x) - C (x)

Replacing with the real values we have:

P (x) = 60x - (12 + 7x)

P (x) = 60x - 12 - 7x

P (x) = 53x - 12

The correct answer is D. 53x - 12

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