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The number of cases of a new disease can be modeled by the quadratic regression equation y= -2x^2+40x+8, where x represents the year.


Which is the best prediction for the number of new cases in year 15?


A. 276

B. 394

C. 72

D. 158

Respuesta :

Answer:

D. 158

Step-by-step explanation:

Fill in the x's with a 15:

[tex]y=-2(15)^2+40(15)+8[/tex]

so y = 158

The best prediction for the number of new cases in year 15 is 158.

What is Quadratic Equation?

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power solve for x in the quadratic equation.

Here, Given quadratic equation

                 y = -2x² + 40x + 8

 at put the value of x = 15, we get

               y(15) = -2 X (15)² + 40 X 15 + 8

               y(15) = -2 X 225 + 600 + 8

               y(15) = -450 + 600 + 8

              y(15) = 150 + 8

              y(15) = 158

Thus, the best prediction for the number of new cases in year 15 is 158.

Learn more about Quadratic Equation from:

https://brainly.com/question/17177510

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