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3 years ago

Please help me! I need this to complete my math hw

Mathematics

1 answer:

babymother [125]3 years ago

4 0

Answer:

Step-by-step explanation:

You "complete the square" by adding the square of half the x-term coefficient. Here, that is ...

((-2)/2)² = 1 . . . . value added to complete the square

If you want to keep 0 on the right, you must also subtract this value:

x² -2x -36 = 0

x² -2x +1 -36 -1 = 0 . . . . . . add and subtract 1 on the left

(x -1)² -37 = 0 . . . . . . . . . . . written as a square

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Find f(x) and g(x) so that the function can be described as y = f(g(x)).<br><br> y = 4/x^2+9

dlinn [17]

I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,

One possible answer is $f(x) = \frac{4}{x}, \ \ g(x) = x^2+9$

Another possible answer is $f(x) = \frac{4}{x+9}, \ \ g(x) = x^2$

There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)

So in the first example above, we would have

$f(x) = \frac{4}{x}\\\\f( g(x) ) = \frac{4}{g(x)}\\\\f( g(x) ) = \frac{4}{x^2+9}$

In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.

Similar steps will happen with the second example as well (when g(x) = x^2)

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3 years ago

Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?

MA_775_DIABLO [31]

Answer:

A (0,3)

Step-by-step explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

$(x,y)\to( \frac{1}{2} x, \frac{1}{2} y)$

This implies that:

$(0,6)\to(0,3)$

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$(7,9)\to(3.5,4.5)$

$(0,12)\to(0,6)$

Therefore correct choice is (0,3)

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Answer:

Step-by-step explanation:

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Answer:

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meriva

Answer:

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Step-by-step explanation:

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