Question

During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the machine recommends that the temperature of the machine part remain below 141°F. The temperature T in degrees Fahrenheit x minutes after the machine is put into operation is modeled by T = – 0.005x2 + 0.45x + 125. Will the temperature of the part ever reach or exceed 141°F? Use the discriminant of a quadratic equation to decide.

Answer 1

The discriminant of a quadratic : \(\large D = b^2 -4ac\) \[\large b = 0.45 \ , \ a=-0.005 \ , \ c = 125\] now you just plug n chug.

Answer 2

okay, thanks

Answer 3

No problem.