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Lelechka [254]
3 years ago
5

There are exclusions that make the expression

Mathematics
2 answers:
Gnom [1K]3 years ago
8 0

Answer:

<h2>True.</h2>

Step-by-step explanation:

The given expression is

\frac{x^{3}-1}{x^{3}+x^{2}+x}

This expression is rational, which means the denominator must be different to zero, otherwise, the function will be undefined. So, let's find if there are values that make the denominator zero.

\frac{x^{3}-1}{x^{3}+x^{2}+x}=\frac{x^{3}-1}{x(x^{2}+x+1)}

So, if we evaluate the expression with x=0, we would have

\frac{x^{3}-1}{x(x^{2}+x+1)}=\frac{0^{3}-1}{0(0^{2}+0+1)}=\frac{-1}{0}

As you can observe, there must be one exclusion, because it makes the expression undefined.

Therefore, the answer is true.

sveticcg [70]3 years ago
4 0
Truer hi s hm Ken mallow’s
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The correct transformation is a rotation of 180° around the origin followed by a translation of 3 units up and 1 unit to the left.

<h3>Which transformation is used to get A'B'C'?</h3>

To analyze this we can only follow one of the vertices of the triangle.

Let's follow A.

A starts at (3, 4). If we apply a rotation of 180° about the origin, we end up in the third quadrant in the coordinates:

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Now if you look at A', you can see that the coordinates are:

A' = (-4, -1)

To go from (-3, -4) to (-4, -1), we move one unit to the left and 3 units up.

Then the complete transformation is:

A rotation of 180° around the origin, followed by a translation of 3 units up and 1 unit to the left.

If you want to learn more about transformations:

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Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to th
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3 years ago
Bytecoin is a new cryptocurrency that is currently valued at $243 per coin. You want to make an investment and purchase 1 Byteco
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Test statistic:

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