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Elena-2011 [213]
3 years ago
5

Please explain how you came to your answer, need help ASAP. Will give brainliest

Mathematics
1 answer:
shusha [124]3 years ago
5 0
The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)

Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1

We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a

Now we know the equation is
.. y = -(x -2)^2 +1

_____
If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3

=========
An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
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-8.5 belongs on whole numbers, integers or rational number?
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Answer:

-8.5 is a rational number

Step-by-step explanation:

The whole numbers are all the numbers you can reach if you start at 1 (or 0, if that's your thing) and count forward - 1, 2, 3, 4, on and on forever. The integers are all the numbers we can get by adding and subtracting two whole numbers - this includes situations like 3 - 4, where we're "taking away" more than we have: we simply invent numbers less than zero, the negatives, and that gives 3 - 4 a value - the number -1.

So we can add, subtract and multiply any of these numbers together and we end up somewhere else our world of integers, but the moment we want to ask a question like "what numbers are between 0 and 1?" the integers just aren't enough. We need fractions, and for that purpose we create the rational numbers, which include all the fractional parts between integers, as well as the integers themselves.

-8.5 is halfway between the integers -8 and -9, and since it has a fractional part, it must be a rational number.

4 0
3 years ago
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Answer:

x=-406

Step-by-step explanation:

x^2-50x+456=0

x^2-50x=-456

This is because we subtract 456 from each side.

x-50=-456

We then divide the whole equation by <em>x</em> .

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Adding 50 to both sides gives us <em>x</em> by itself, hope this helps :D

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