Answer:
The slope is 3/2 and the y intercept is 4
Step-by-step explanation:
We want to write in the form
y = mx+b where m is the slope and b is the y intercept
-3x+2y = 8
Add 3x to each side
-3x+3x+2y = 3x+8
2y = 3x+8
Divide each side by 2
2y/2 = 3x/2 + 8/2
y = 3/2x +4
The slope is 3/2 and the y intercept is 4
30. is just asking where the two equations graphed intersect each other...
x = -3 and x = 1 for intersections.
(going to number these 1-4 starting with the top one)
1. 6:5
2. 1:3
3. 4:3
4. 1:2
Answer:Stan used 19/40 of a gallon of gasoline.
Step-by-step explanation:
At first, Stan's lawn mower had 1/8 of a gallon of gasoline in the tank. When it got finished, he put 6/10 of a gallon of gasoline in the tank. It means that the number of gallons of gasoline that he has already put in the tank is
1/8 + 6/10 = 29/40 of a gallon.
After he mowed, 1/4 of a gallon was left in the tank. Therefore, the total amount of gasoline Stan used is
29/40 - 1/4 = 19/40 of a gallon