What is the vertex of the graph of the equation y= 3x^2+6x+1

1 answer:

8 0

$y=a(x-h)^2+k \Rightarrow \hbox{vertex}=(h,k)\\y= 3x^2+6x+1\\ y=3x^2+6x+3-2\\ y=3(x^2+2x+1)-2\\ y=3(x+1)^2-2\Rightarrow h=-1,k=-2\\\\ (-1,-2)$

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In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total number of

worty [1.4K]

Answer:

France = 15, Italy = 14, Korea = 13

Step-by-step explanation:

We are trying to find 3 consecutive integers whose sum is 42, then the highest integer will be France's gold medal count since they won the most, the second highest will be Italy, and the lowest integer will be Korea.

let n be the first/smallest integer, since they are consecutive, the next two integers are n+1 and n+2. Summing these, we get n + (n+1) + (n+2) = 42. Solve to get n = 13, n + 1 = 14, and n + 2 = 15

5 0

2 years ago

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Brad has eight more nickels than quarters. Altogether he has $6.10. how many of each does he have

wlad13 [49]

Brad have 19 quarters and 27 nickels.

Step-by-step explanation:

Given,

Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents

One quarter = 25 cents

One nickel = 5 cents

Let,