Answer: n = -25
Step-by-step explanation:
you would need to get N by itself so you would subtract 2n from both sides and that would bring you to n+75=50 and then you would need to subtract 75 from both sides and that leads you to n=-25
He started with 3.
3 X 3 = 9.
9 - 5 = 4.
4 X 4 = 16.
16 - 7 = 9.
9 divided by 3 = 3.
3 + 6 = 9.
Answer:
![32 {x}^{2} \sqrt[3]{ 2x } -8{x}^{3}](https://tex.z-dn.net/?f=32%20%7Bx%7D%5E%7B2%7D%20%5Csqrt%5B3%5D%7B%202x%20%7D%20%20%20%20-8%7Bx%7D%5E%7B3%7D)
Step-by-step explanation:
We want to
![4x \sqrt[3]{4 {x}^{2} } (2 \sqrt[3]{32 {x}^{2} } - x \sqrt[3]{2x} )](https://tex.z-dn.net/?f=4x%20%5Csqrt%5B3%5D%7B4%20%7Bx%7D%5E%7B2%7D%20%7D%20%282%20%5Csqrt%5B3%5D%7B32%20%7Bx%7D%5E%7B2%7D%20%7D%20%20-%20x%20%5Csqrt%5B3%5D%7B2x%7D%20%29)
We expand to obtain:
![4x \sqrt[3]{4 {x}^{2} } \times 2 \sqrt[3]{32 {x}^{2} } -4x \sqrt[3]{4 {x}^{2} } \times x \sqrt[3]{2x} )](https://tex.z-dn.net/?f=4x%20%5Csqrt%5B3%5D%7B4%20%7Bx%7D%5E%7B2%7D%20%7D%20%20%5Ctimes%202%20%5Csqrt%5B3%5D%7B32%20%7Bx%7D%5E%7B2%7D%20%7D%20%20-4x%20%5Csqrt%5B3%5D%7B4%20%7Bx%7D%5E%7B2%7D%20%7D%20%5Ctimes%20%20x%20%5Csqrt%5B3%5D%7B2x%7D%20%29)
We now simplify
![8x \sqrt[3]{4 {x}^{2} \times 32 {x}^{2} } -4 {x}^{2} \sqrt[3]{4 {x}^{2} \times 2x}](https://tex.z-dn.net/?f=8x%20%5Csqrt%5B3%5D%7B4%20%7Bx%7D%5E%7B2%7D%20%20%5Ctimes%2032%20%7Bx%7D%5E%7B2%7D%20%7D%20%20%20%20-4%20%7Bx%7D%5E%7B2%7D%20%20%5Csqrt%5B3%5D%7B4%20%7Bx%7D%5E%7B2%7D%20%20%5Ctimes%202x%7D%20)
We multiply the radicand
![8x \sqrt[3]{64 \times {x}^{3} \times 2x } -4 {x}^{2} \sqrt[3]{8 {x}^{3}}](https://tex.z-dn.net/?f=8x%20%5Csqrt%5B3%5D%7B64%20%5Ctimes%20%7Bx%7D%5E%7B3%7D%20%20%5Ctimes%202x%20%7D%20%20%20%20-4%20%7Bx%7D%5E%7B2%7D%20%20%5Csqrt%5B3%5D%7B8%20%7Bx%7D%5E%7B3%7D%7D%20)
Or
![8x \sqrt[3]{ {(4x)}^{3} \times 2x } -4 {x}^{2} \sqrt[3]{{(2x)}^{3}}](https://tex.z-dn.net/?f=8x%20%5Csqrt%5B3%5D%7B%20%7B%284x%29%7D%5E%7B3%7D%20%20%5Ctimes%202x%20%7D%20%20%20%20-4%20%7Bx%7D%5E%7B2%7D%20%20%5Csqrt%5B3%5D%7B%7B%282x%29%7D%5E%7B3%7D%7D%20)
We take cube root to get:
![8x \times 4x\sqrt[3]{ 2x } -4 {x}^{2} \times 2x](https://tex.z-dn.net/?f=8x%20%20%5Ctimes%204x%5Csqrt%5B3%5D%7B%202x%20%7D%20%20%20%20-4%20%7Bx%7D%5E%7B2%7D%20%20%5Ctimes%202x)
We multiply out to get:
![32 {x}^{2} \sqrt[3]{ 2x } -8{x}^{3}](https://tex.z-dn.net/?f=32%20%7Bx%7D%5E%7B2%7D%20%5Csqrt%5B3%5D%7B%202x%20%7D%20%20%20%20-8%7Bx%7D%5E%7B3%7D)
The equivalent fraction to the given complex fraction is
.
Given expression,

We have to find the equivalent fraction of
.
On solving,

Eliminating y from numerator and denominator we get,

Hence the required expression is
.
For more details follow the link:
brainly.com/question/17912
Answer:
We have equation of a line:
2y - 3x = 4 => y = (3/2)x + 4
The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and
a = 3/2
6a + b = 7
=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2
=> The equation of that line: y = (3/2)x - 2
Hope this helps!
:)