Roy already has 10,368 frequent flyer miles, and he will earn 2,832 more miles from his round-trip flight to new york city. in addition, he earns 2 frequent flyer miles for each dollar he charges on his credit card. how many dollars will roy need to charge on his credit card to have a total of 15,000 frequent flyer miles? explain and determined your answer.

find his total number of miles: 10,368 + 2,832 = 13,200

subtract from 15000 to see how many more he needs: 15,000 - 13,200 = 1,800

divide by 2 to find the number of dollars: 1800/2 = 900

he'll need to charge $900 to get 15,000 miles.

3,000,540

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15