The values of two antiques were observed for a period of 50 years. The following equations model the value of each antique, where y is the value of the antiques and x is the number of years after observations began. Antique 1: y=-x^2+50x Antique 2: y = 10x+175 Determine when the two antiques had the same value. Select all that apply.

a. After 5 years

b. After 40 years

c. After 35 years

d. After 50 years

Question

Mathematics

Cloe Cantrell

5 June, 01:05

The values of two antiques were observed for a period of 50 years. The following equations model the value of each antique, where y is the value of the antiques and x is the number of years after observations began. Antique 1: y=-x^2+50x Antique 2: y = 10x+175 Determine when the two antiques had the same value. Select all that apply.

a. After 5 years

b. After 40 years

c. After 35 years

d. After 50 years

+4

Answers (1)

Know the Answer?

Cindy Gilmore · Answer 1

Hello,

y=10x+175

y=-x²+50x

==> x²+10x-50x+175=0

==>x²-40x+175=0

==>x²-5x-35x+175=0

==>x (x-5) - 35 (x-5) = 0

==> (x-5) (x-35) = 0

==> x=5 or x=35

Answer: A AND C.