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  1. Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.
Ax = –10 or x = –3
Bx = –10 or x = 3
Cx = –3 or x = 10
Dx = 3 or x = 10

  1. The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?
A100 tabletops
B120 tabletops
C240 tabletops
D480 tabletops

Verified Answer :

taskmasters

1) x² - 13x + 30 = 0

x² ⇒ x x
-13x ⇒ -10x - 3x
30 ⇒ -10 -3

(x-10) (x-3) = 0
x - 10 = 0 ⇒ x = 10
x - 3 = 0 ⇒ x = 3

Answer is Choice D:) x = 3 or x = 10

2. P(x) = 480x - 2x²

a) P(100) = 480(100) - 2(100²) = 48,000 - 20,000 = 28,000
b) P(120) = 480(120) - 2(120²) = 57,600 - 28,800 = 28,800
c) P(240) = 480(240) - 2(240²) = 115,200 - 115,200 = 0  THIS IS THE ANSWER.

Answer: x = 3 or x = 10

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