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bezimeni [28]
3 years ago
9

Marianna went running and had 16 of a bottle of water left when she stopped to rest. She went to a water fountain and filled it

until it was 23 full. How much water (as a fraction of a bottle) did Marianna put in her bottle at the water fountain?
Mathematics
1 answer:
vovikov84 [41]3 years ago
4 0

Answer:

7/100

Step-by-step explanation:

16/100 to 23/100

23-16 = 7

7/100 added

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Answers:

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Pick whichever form you prefer.

=============================================================

Explanation:

The vertex is the highest point in this case, which is located at (1,8).

In general, the vertex is (h,k). So we have h = 1 and k = 8.

One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.

Plug those four values mentioned into the equation below. Solve for 'a'.

y = a(x-h)^2 + k

0 = a(-1-1)^2+8

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The vertex form of this parabola is   y = -2(x-1)^2+8

Expanding that out gets us the following

y = -2(x-1)^2+8

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y = -2x^2+4x-2+8

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Work Shown:

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Since the last inequality is false, the original inequality must also be false for that particular k value. Therefore, k = -9 is not a solution.

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