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

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81