The function y = -2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x ist the price of a hot dog (in dollars). Find and interpret the zeros of this function

Respuesta :

Answer:

Zeros at x=3+[2

The zeros are the hot dog price that gives $0 profit(no profit)

Step-by-step explanation:

Ap ex

The zeros of this function [tex]y = -2(x-3)^2+4[/tex] is x = ±√2 + 3.

What are the zeros of a polynomial?

The zeros of a polynomial are all the x values that satisfied the polynomials expression equal to zero.

The given function is  [tex]y = -2(x-3)^2+4[/tex]

The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand is zero.

[tex]y = -2(x-3)^2+4[/tex]

To find the zeros equate the equation to zero

[tex]0 = -2(x-3)^2+4\\2(x-3)^2=4\\(x-3)^2=4\\[/tex]

[tex](x-3)^2[/tex] = [tex]2[/tex]

x - 3 = ±√2

x = ±√2 + 3

Thus, the zeros of this function [tex]y = -2(x-3)^2+4[/tex] is x = ±√2 + 3.

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