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madreJ [45]
3 years ago
9

Which expression is equivalent to ? x5 algebra II engenuity

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
8 0

Answer:

Last Option

Step-by-step explanation:

Given expression is:

\sqrt[4]{\frac{24x^6y}{128x^4y^5}}

Simplifying the radicand

=\sqrt[4]{\frac{8*3*x^6*y}{8*16*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^6*y}{16*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^6*y}{2^4*x^4*y^5}}\\=\sqrt[4]{\frac{3*x^{(6-4)}}{2^4*y^{(5-1)}}}\\=\sqrt[4]{\frac{3*x^{2}}{2^4*y^{4}}}\\Applying\ Radical\\= \frac{\sqrt[4]{3x^2}}{2y}

Hence,

Last option is correct ..

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Scorpion4ik [409]

First let us convert 0.01 into fraction:

\frac{y^{2}}{100}  -\frac{1}{4}

Now we convert 100 and 4 into perfect squares as follows:

(\frac{y}{10})^{2}-(\frac{1}{2})^{2}

Now we use the property of :

x^{2} -y^{2} =(x+y)(x-y)

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4 0
3 years ago
Choose whether it's always, sometimes, never 
Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

1)

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If a\in Z\text{ and }b\in Z, then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

2)

A polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3)

If a polynomial divided by a polynomial  then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{f(x)}{g(x)}=x^2+5, which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{g(x)}{f(x)}=\frac{1}{x^2+5}, which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

4)

As we know a polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3 0
3 years ago
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Answer:


Step-by-step explanation:

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What is the answer for<br> 3(x-2)+6x=3x-2+6x
Rudiy27
I think this attachment will help you

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