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NeTakaya
2 years ago
12

Your group has 10 pennies and 10 nickels. Use these pennies and nickels to solve the following problems.

Mathematics
1 answer:
Citrus2011 [14]2 years ago
5 0

Answer:

p=8

n=3

Step-by-step explanation:

let number of pennies=p

number of nickels=n

p+n=11

n=11-p

1*p+5*n=23

p+5(11-p)=23

p+55-5p=23

55-4p=23

4p=55-23=32

p=32/4=8

n=11-8=3

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\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}}) }\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-----------------------------\\\\

\bf \begin{cases}
p=-1\\
h=-2\\
k=5
\end{cases}\implies (x-(-2))^2=4(-1)(y-5)
\\\\\\
(x+2)^2=-4(y-5)\implies 
-\cfrac{1}{4}(x+2)^2=y-5
\\\\\\
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