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Mathematics

1 answer:

erastovalidia [21]3 years ago

3 0

Answer:

<h2>There are needed 3 burgers to reach the maximum measure of happiness of 25.</h2>

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.

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