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Slav-nsk [51]
3 years ago
12

The vertex of the functions graph is given. Find c. y=2x^2-6x+c;(3/2, 0.5)

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
5 0
You would best do this by completing the square on the quadratic and subbing in the vertex they give you, like this:
2(x- \frac{3}{2})^{2} = \frac{18}{4}-c
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the \frac{18}{4}-c equal to 1/2 and solve for c, which is the whole point of what we are doing, right?
\frac{18}{4}-c= \frac{1}{2} and \frac{18}{4}- \frac{2}{4}=c
\frac{16}{4}=c and c = 4. So that's our answer!
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Answer:

\large \boxed{\sf \ \ 2  \ \ }

Step-by-step explanation:

Hello,

<u>The mean of five numbers is 8</u> so we can write

\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8

<u>When another number is added the mean is 7</u>, let s note x the another number we can write

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So the second equation becomes

\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\ \dfrac{40+x}{6}=7\\\\40 + x = 6*7=42\\\\ x = 42-40 = 2\\

The solution is then 2

Hope this helps

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