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The productivity, P , of a worker in a factory can be modeled by the function p\(x)\ = -2x^2 + 24x, where x is the number of hours worked. How many hours have been worked when productivity is at 0 ?

Respuesta :

According to the quadratic equation, it is found that 12 hours have been worked when productivity is at 0.

What is the quadratic equation for the worker's productivity?

It is given by:

P(x) = -2x² + 24x

It is of zero when:

P(x) = 0.

Hence:

-2x² + 24x = 0

2x(-x + 12) = 0

We want the non-zero result, hence:

-x + 12 = 0 -> x = 12

12 hours have been worked when productivity is at 0.

More can be learned about quadratic equations at https://brainly.com/question/24737967

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