Sebastian plans to sell his paintings to raise money for a summer art trip. He purchases supplies for $80 and sells his paintings for $35 each. Write an equation that models the total profit, P, Sebastian will earn from selling x paintings.

the answer is a if my teacher taught me correct

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex

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

4 inches will get you 10.16 centimeters, but you can either do 10.1 or round up to 10.2. good luck and hope this : )