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 141f? use the discriminant of a quadratic equation to decide.
a. yes
b. no

Yes, it will reach or exceed 141 degree F

Step-by-step explanation:

Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

Suppose T = 141°F,

Since, a quadratic equation has,

Real roots,

If Discriminant,

Imaginary roots,

If D < 0,

Since,

Thus, roots of -0.005x² + 0.45x + 125 are real.

Hence, the temperature can reach or exceed 141 degree F.

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