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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 132 ° F. The temperature T in degrees Fahrenheit x minutes after the machine is put into operation is modeled by T = -0.005x^2 + 0.45x + 125. Will the temperature of the part ever reach or exceed 132 ° F? Use the discriminant of a quadratic equation to decide.

A. no
B. yes

Respuesta :

Edufirst
T = -0.005x^2 + 0.45x + 125

T = 132 => -0.005x^2 + 0.45x + 125 = 132

=> -0.005x^2  + 0.45x +125 -132 = 0

=> -0.005x^2 + 0.45x - 7 = 0

Discriminant: b^2 - 4ac = (0.45)^2 - 4( - 0.005)(-7) = 0.2025 - 0.14 = 0.0625

Discriminant > 0 => the equation has two real and different solutions.

Answer: yes

Answer: The answer saying YES, is WRONG, the CORRECT ANSWER IS NO.

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