Answer: C. None of the above
Step-by-step explanation:
Start by combining like terms.
-6 -2q
Now we can factor out -2
-2(3+q)
That is the expression simplified.
And none of the other expressions for an answer are true, so none of the above.
Answer:
The equivalent expression for the given expression ![\sqrt[3]{256x^{10}y^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D)
is
![4x^{3} y^{2}(\sqrt[3]{4xy} )](https://tex.z-dn.net/?f=4x%5E%7B3%7D%20y%5E%7B2%7D%28%5Csqrt%5B3%5D%7B4xy%7D%20%29)
Step-by-step explanation:
Given:
Solution:
We will see first what is Cube rooting.
![\sqrt[3]{x^{3}} = x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B3%7D%7D%20%3D%20x)
Law of Indices
Now, applying above property we get
![\sqrt[3]{256x^{10}y^{7} }=\sqrt[3]{(4^{3}\times 4\times (x^{3})^{3}\times x\times (y^{2})^{3}\times y )} \\\\\textrm{Cube Rooting we get}\\\sqrt[3]{256x^{10}y^{7} }= 4\times x^{3}\times y^{2}(\sqrt[3]{4xy}) \\\\\sqrt[3]{256x^{10}y^{7} }= 4x^{3}y^{2}(\sqrt[3]{4xy})](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D%3D%5Csqrt%5B3%5D%7B%284%5E%7B3%7D%5Ctimes%204%5Ctimes%20%28x%5E%7B3%7D%29%5E%7B3%7D%5Ctimes%20x%5Ctimes%20%28y%5E%7B2%7D%29%5E%7B3%7D%5Ctimes%20y%20%20%20%29%7D%20%5C%5C%5C%5C%5Ctextrm%7BCube%20Rooting%20we%20get%7D%5C%5C%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D%3D%204%5Ctimes%20x%5E%7B3%7D%5Ctimes%20y%5E%7B2%7D%28%5Csqrt%5B3%5D%7B4xy%7D%29%20%5C%5C%5C%5C%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D%3D%204x%5E%7B3%7Dy%5E%7B2%7D%28%5Csqrt%5B3%5D%7B4xy%7D%29)
∴ The equivalent expression for the given expression is
<span>Simplify
0.6n = 84
Solve
By:
Move all terms containing n to the left, all other terms to the right.
Divide each side by '0.6'.
n = 140
</span><span>
So,
</span><span>84 is 60% of 140</span>
Answer:
<u>Same as the original:</u>
-->A 15% increase followed by a 15% decrease
--> A 25% decrease followed by a 50% increase
-->A 50% decrease followed by a 100% increase
<u>Greater than the Original:</u>
-->A 20% decrease followed by a 25% decrease
<u>Less than the Original:</u>
-->A 75% increase followed by a 50% decrease
Step-by-step explanation:
<em>Example</em><u><em>#1</em></u><em>: I did 15% increase is 15% so followed by a -15%(decrease). The sale stayed the same.</em>
<em>Example</em><u><em>#2:</em></u><em> -20%+25%=5% *greater than the original</em>
<em>Example</em><u><em>#3</em></u><em>: If the percentage came to 0%, it stayed the same(same as original.) </em>
<em />
Hope this helps!!
