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Mnenie [13.5K]
3 years ago
6

A salad recipe that serves 10 people requires 1 1/2 cups of celery. To serve 5 people, the amount of celery required is

Mathematics
1 answer:
Annette [7]3 years ago
8 0
Well this is a one step equation, just take 1.5 cups of salad and divide it buy 2 because you are only serving half of the people.

1.5 / 2 = .75 cups of celery
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Write the equation of the quadratic function with roots 0 and 2 and a vertex at (1,5).
lisov135 [29]

Answer:

Step-by-step explanation:

y=a(x-0)(x-2)

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or y=a(x-1)^2-a

(1,5) lies on it.

5=a(1-1)^2-a

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Leni [432]

\begin{cases} y=220x-160\\ y=20x^2-400 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\textit{\Large y}}{220x-160}~~ = ~~20x^2-400} \\\\\\ -160=20x^2-220x-400\implies 0=20x^2-220x-240 \\\\\\ 0=20(x^2-11x-12)\implies 0=x^2-11x-12 \\\\\\ 0=(x-12)(x+1)\implies x= \begin{cases} 12\\ -1 \end{cases}

\dotfill\\\\ x=12\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(12)-160}\implies y=2480 \\\\\\ x=-1\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(-1)-160}\implies y=-380 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12~~,~~2480)\qquad (-1~~,~~-380)~\hfill

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2 years ago
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vladimir2022 [97]

Answer:

-24

Step-by-step explanation:

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-12 * 2 = -24

8 0
2 years ago
Read 2 more answers
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