Han’s lawn mower has a 5-gallon tank for gasoline. he knows it uses 0.4 gallons per hour of mowing. he is not sure how much gasoline is already in the lawn mower. what are all the possible values for x, the number of hours han can mow without refilling the lawn mower

12.5 hrs

Step-by-step explanation:

The rate at which the mower burns gas is 0.4 gallon / hr.

The greatest volume of gas that the tank can hold is 5 gallons.

If x is the number of hours the mower runs, then:

(0.4 gal/hr)x ≤ 15 gal, or x ≤ (15 gal) / (0.4 gal/hr), or x ≤ 12.5 hrs

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)