Answer:
6x^2+2x
Step-by-step explanation:
Step-by-step explanation:
![\frac{2}{3} (a - 9) - \frac{1}{6} ( - 2a + 18)](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%28a%20-%209%29%20-%20%20%5Cfrac%7B1%7D%7B6%7D%20%28%20-%202a%20%20%2B%2018%29)
![= \frac{2a - 18}{3} - \frac{2a - 18}{6} \\ = \frac{2a - 18 - (6a - 54)} 6](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B2a%20-%2018%7D%7B3%7D%20%20-%20%20%5Cfrac%7B2a%20-%2018%7D%7B6%7D%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2a%20-%2018%20-%20%286a%20-%2054%29%7D%206)
![= \frac{2a - 18 - 6a + 54}{6}\\= \frac{ - 4a + 36}{6} \\ = \frac{4( - a + 9)}{6} \\ = \frac{2( - a + 9)}{3}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B2a%20-%2018%20-%206a%20%2B%2054%7D%7B6%7D%5C%5C%3D%20%20%5Cfrac%7B%20-%204a%20%2B%2036%7D%7B6%7D%20%20%5C%5C%20%20%20%3D%20%5Cfrac%7B4%28%20-%20a%20%2B%209%29%7D%7B6%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B2%28%20-%20a%20%2B%209%29%7D%7B3%7D%20)
Answer:
x = 6
Step-by-step explanation:
10x-5 = 7x+13 1. -7 on both sides
3x-5 = 13 2. +5 on both sides
3x = 18 3. /3 on both sides
x = 6
Answer:
Step-by-step explanation:
A line is expressed as y=mx+b where m=slope and b=y intercept. As long as we have two points we can solve the equation of that line.
y=mx+b
For the top line I found two points (5,200) and (30,325)
m=(y2-y1)/(x2-x1)=(325-200)/(30-5)=125/25=5
y=5x+b, using point (5,200) we can solve for b
200=5(5)+b, b=200-25=175 so the line is
y=5x+175
For the bottom line we have points (5,50) and 10,100)
m=(100-50)/(10-5)=50/5=10
y=10x+b, using point (5,50) we have
50=10(5)+b, b=50-50=0 so
y=10x