Answer:
y= 8/7x+ 37/7 for the equation that the line passes
Answer: A
Step-by-step explanation:
We need to get the denominators to be same first before we can do anything to the numerator.
<em>The LCD (lowest common denominator) is </em>
<em>. To find the LCD, multiply the denominators together: </em>
<em> · </em>
<em> = </em>
.
Below, we are trying to get the denominators to equal the same or to
.
![\frac{3}{3} (\frac{4}{x^{3} } ) - \frac{x^{2} }{x^{2} } (\frac{2x-1}{3x} )](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B3%7D%20%20%28%5Cfrac%7B4%7D%7Bx%5E%7B3%7D%20%7D%20%29%20-%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7Bx%5E%7B2%7D%20%7D%20%20%28%5Cfrac%7B2x-1%7D%7B3x%7D%20%29)
![\frac{12}{3x^{3} } - \frac{2x^{3}-x^{2} }{3x^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B3x%5E%7B3%7D%20%7D%20-%20%5Cfrac%7B2x%5E%7B3%7D-x%5E%7B2%7D%20%7D%7B3x%5E%7B3%7D%20%7D)
Now that the denominators are the same, we can subtract the numerators from each other.
![\frac{ 12 - (2x^{3} -x^{2})\\}{3x^{3} } \\](https://tex.z-dn.net/?f=%5Cfrac%7B%2012%20-%20%282x%5E%7B3%7D%20-x%5E%7B2%7D%29%5C%5C%7D%7B3x%5E%7B3%7D%20%7D%20%5C%5C)
![\frac{12-2x^{3} +x^{2} }{3x^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B12-2x%5E%7B3%7D%20%2Bx%5E%7B2%7D%20%7D%7B3x%5E%7B3%7D%20%7D)
Now, we can just reorganize the variables.
Answer: A or ![\frac{-2x^{3} + x^{2}+12 }{3x^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B-2x%5E%7B3%7D%20%2B%20x%5E%7B2%7D%2B12%20%7D%7B3x%5E%7B3%7D%20%7D)
Answer:
![y=\frac{x-9}{-8}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx-9%7D%7B-8%7D)
Step-by-step explanation:
1. change f(x) to y
2. switch x and y
![x= -8y+9](https://tex.z-dn.net/?f=x%3D%20-8y%2B9)
3. solve for y
![x-9=-8y](https://tex.z-dn.net/?f=x-9%3D-8y)
![y= \frac{x-9}{-8}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7Bx-9%7D%7B-8%7D)