Answer:
Option A The zeros are the hot dog prices that give $0.00 profit (no profit)
Option C. Zeros at [tex]x=3(+/-)\sqrt{2}[/tex]
Step-by-step explanation:
we know that
The zeros of the function are the values of x when the value of y is equal to zero
In this problem
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 are zero
we have
[tex]y=-2(x-3)^{2}+4[/tex]
Find the zeros
equate the equation to zero
[tex]0=-2(x-3)^{2}+4[/tex]
[tex]2(x-3)^{2}=4[/tex]
[tex](x-3)^{2}=2[/tex]
square root both sides
[tex]x-3=(+/-)\sqrt{2}[/tex]
[tex]x=3(+/-)\sqrt{2}[/tex]
