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Svetach [21]
4 years ago
15

Fred has 254 books in his personal library.He Donated 2/11 of these books to the public library.How many books does he donate

Mathematics
1 answer:
PSYCHO15rus [73]4 years ago
5 0

Answer:

46

Step-by-step explanation:

If you take the fraction and divide it 2/11, it'll give you the decimal form of what you need, which will give you .18

Now your equation has become 254*.18, which you multiply instead of divide because you switched the form it is given in, and if you try to divide it will give you some obscure number.

Your answer from 254*.18 is 45.72, which you cant give .72 of a book, therefore you round up, making it so he has donated 46 books.

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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.
jek_recluse [69]

Answer:

Choice B: y = 2\, (x - 6)^{2} + 5.

Step-by-step explanation:

For a parabola with vertex (h,\, k), the vertex form equation of that parabola in would be:

\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}.

In this question, the vertex is (6,\, 5), such that h = 6 and k = 5. There would exist a constant a such that the equation of this parabola would be:

y = a\, (x - 6)^{2} + 5.

The next step is to find the value of the constant a.

Given that this parabola includes the point (7,\, 7), x = 7 and y = 7 would need to satisfy the equation of this parabola, y = a\, (x - 6)^{2} + 5.

Substitute these two values into the equation for this parabola:

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65pts! plot the vertex and the axis of symmetry of this function:
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Answer:

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Directrix: y=−214

Select a few x

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1   -1

2  -4

3   -5

4   -4

5    -1

Graph the parabola using its properties and the selected points.

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Vertex: (3,−5)

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Axis of Symmetry: x=3

Directrix: y=−214

x  y

1   -1

2  -4

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