Step-by-step explanation:
[tex] y=-2(x-3)^2+4[/tex]
To interpret the zeros of this function , put y =0
[tex]0=-2(x-3)^2+4[/tex]
[tex]0+2(x-3)^2=4[/tex]
[tex]2(x-3)^2=4[/tex]
[tex](x-3)^2=\frac{4}{2}[/tex]
[tex](x-3)^2=2[/tex]
Taking square root on both sides:
[tex](x-3)=\pm \sqrt{2}[/tex]
So, we got values of x :
1) [tex]x=3+\sqrt{2}=1.59[/tex]
2) [tex]x=3-\sqrt{2}=4.41[/tex]
This means the person will have profit if price of a hot dog ranges from $1.59 to $4.41.
