Question

Who did this? Tell me answers for questions

Answer 1

Answer:

There are needed 3 burgers to reach the maximum measure of happiness of 25.

Step-by-step explanation:

The given function is

$h(x)=-x^{2} +6x+16$

Where $x$ is the number of burgers and $h$ the measure of happiness.

To find the maximum burgers needed to reach the maximum happiness, we just need to find the vertex of this function, which is defined as

$V(h,k)$ where $h=-\frac{b}{2a}$, and $b=6$, $a=-1$, replacing these values, we have

$h=-\frac{6}{2(-1)}=3$

$k=f(3)=-(3)^{2} +6(3)+16=-9+18+16=25$

Therefore, there are needed 3 burgers to reach the maximum measure of happiness of 25.