Answer:
2. The denominator of the fully simplified expression will be x – 1.
4. The numerator of the fully simplified expression will be –3x + 10.
Step-by-step explanation:
Given the rational expression
![\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%2B5%7D%7Bx-1%7D%20-%28%5Cdfrac%7B8x-1%7D%7Bx-1%7D%20%2B%5Cdfrac%7B2x-4%7D%7Bx-1%7D%20%29)
Let us first simplify before making our deductions.
Opening the brackets
![\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )=\dfrac{7x+5}{x-1} -\dfrac{8x-1}{x-1} -\dfrac{2x-4}{x-1}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%2B5%7D%7Bx-1%7D%20-%28%5Cdfrac%7B8x-1%7D%7Bx-1%7D%20%2B%5Cdfrac%7B2x-4%7D%7Bx-1%7D%20%29%3D%5Cdfrac%7B7x%2B5%7D%7Bx-1%7D%20-%5Cdfrac%7B8x-1%7D%7Bx-1%7D%20-%5Cdfrac%7B2x-4%7D%7Bx-1%7D)
Taking LCM
![=\dfrac{7x+5-(8x-1)-(2x-4)}{x-1}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B7x%2B5-%288x-1%29-%282x-4%29%7D%7Bx-1%7D)
Opening the brackets and simplifying
![=\dfrac{7x+5-8x+1-2x+4}{x-1}\\\text{Collecting like terms in the numerator}\\=\dfrac{7x-8x-2x+5+1+4}{x-1}\\=\dfrac{-3x+10}{x-1}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B7x%2B5-8x%2B1-2x%2B4%7D%7Bx-1%7D%5C%5C%5Ctext%7BCollecting%20like%20terms%20in%20the%20numerator%7D%5C%5C%3D%5Cdfrac%7B7x-8x-2x%2B5%2B1%2B4%7D%7Bx-1%7D%5C%5C%3D%5Cdfrac%7B-3x%2B10%7D%7Bx-1%7D)
The following statements are therefore true:
2. The denominator of the fully simplified expression will be x – 1.
4. The numerator of the fully simplified expression will be –3x + 10.
<span>The part of the graph that best represents the solution set to the system of inequalities y ≤ x + 1 and y + x ≤ –1 is Part C.</span>
Answer:
a
Step-by-step explanation:
hope this helps
;)
Answer:
3 times faster
Step-by-step explanation:
times faster