Answer:
The slope is -1/3 and the y-intercept is (0, 2).
Step-by-step explanation:
2x+6y=12
6y=12-2x
6y=-2x+12
y=-2/6x+12/6
y=-1/3x+2
y=mx+b where m=slope and b=y-intercept
A. No, because -38 isn't a fraction.
2, No because 400 is a real number.
3. Yes because fractions, decimals, and percents are rational numbers.
hope that helped
1. the answer is 24. think of x as the original amount, and y as the new amount. y times 1.5 is x, and y+12 is x. reverse that to figure out y, which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to subtract 12, which would help you get 24 as your final answer.
2. once again, create an equation. let's call team 1 x and team 2 y. team one has 1/4th as many as team 2, so that would be x=1/4y. An easier way to write that is 4x=y. after 6 people quit team two, that would be y-6. after the transfer, that would be y-6-12, and x+12 for the teams. they are equal after these, so y-6-12=x+12. solve this equation to get y-18= x+12. if you recall earlier, y was 4 times x, so substitute that into y to get 4x-18=x+12. Solve the equation to get 10 people on team one originally. your final answer is 10 people.
Answer:
w=15
Step-by-step explanation:
-24=-3w+21
We move all terms to the left:
-24-(-3w+21)=0
We get rid of parentheses
3w-21-24=0
We add all the numbers together, and all the variables
3w-45=0
We move all terms containing w to the left, all other terms to the right
3w=45
w=45/3
w=15
Simply the radical expression
