Question

the function y=-2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand wherex is the price of a hot dog (in dollars) find and interpret the zeros of this function

Answer 1

Step-by-step explanation:

$y=-2(x-3)^2+4$

To interpret the zeros of this function , put y =0

$0=-2(x-3)^2+4$

$0+2(x-3)^2=4$

$2(x-3)^2=4$

$(x-3)^2=\frac{4}{2}$

$(x-3)^2=2$

Taking square root on both sides:

$(x-3)=\pm \sqrt{2}$

So, we got values of x :

1) $x=3+\sqrt{2}=1.59$

2) $x=3-\sqrt{2}=4.41$

This means the person will have profit if price of a hot dog ranges from $1.59 to $4.41.