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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