Question

1. Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.

a) x = –10 or x = –3
b) x = –10 or x = 3
c) x = –3 or x = 10
d) x = 3 or x = 10

2. 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?
a) 100 tabletops
b) 120 tabletops
c) 240 tabletops
d) 480 tabletops

Answer 1

Answer: x = 3 or x = 10

Answer 2

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.