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Scorpion4ik [409]
3 years ago
9

At a birthday party, there are 15 children. Each child will eat 3/16 of a pizza. How many pizzas should the host order?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0

Answer:3 pizzas

Step-by-step explanation:

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the parabola has maximum at 9, meaning is a vertical parabola and it opens downwards.

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check the picture below.

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\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{using this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=9 \end{cases}\implies y=a[x-(-5)]^2+9\implies y=a(x+5)^2+9


\bf \textit{we also know that } \begin{cases} x=-7\\ y=1 \end{cases}\implies 1=a(-7+5)^2+9 \\\\\\ -8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-2(x+5)^2+9~\hfill

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