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aleksandrvk [35]
3 years ago
14

Which can be used to describe the expression? Check all that apply.

Mathematics
2 answers:
frozen [14]3 years ago
8 0
We can write the expression above as the following function:

f(r)=(r-4)^{3}

So let's examine the expressions that are true for this exercise.

1. <span>There are three factors of r-4:

This is true because we can write the function f(r) as follows:

</span>f(r)=(r-4)(r-4)(r-4)

So you can see that in fact there are three factors.

<span>2. The expression is equal to 1 over 12 factors of r.

This is false. It is obvious that this is impossible. There is no any way to get the same expression by applying this statement.
</span>
3. <span>Adding the exponents will create an equivalent expression.

This is true because we can write the function as follows:

</span>f(r)=(r-4)^{1+1+1}

So adding one three times we can get the same function, that is:

1+1+1=3

Therefore this is an equivalent expression because:

f(r)=(r-4)^{1+1+1}=(r-4)^{3}

4. Multiplying the exponents will create an equivalent expression.

This is true.You can get the following expression:

f(r)=(r-4)^{\frac{2}{3}\times \frac{9}{2}}

By multiplying the exponents we have:

\frac{2}{3}\times \frac{9}{2}=3

Therefore this is an equivalent expression because:

f(r)=(r-4)^{\frac{2}{3}\times \frac{9}{2}}=(r-4)^{3}

5. <span>The expression simplifies to.

The expression is simplified, that is, it has been factorized. Therefore there is no a way to simplify this function but:

</span>f(r)=(r-4)^{3}

Irina-Kira [14]3 years ago
8 0

A, B, D are Correct because i took the test

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