You take the numerator and divide that by the denominator
end behavior is affect by the exponent and whether its negative or positive
y = y^3 starts negative from -∞ to 0 the from 0 to +∞ goes positive
since this equation is negative its switched
-∞ to 0 its positive x>0
0 to +∞ is negative x<0
Answer:
<u>5 eggs and 3.33 cups of sugar</u>
Step-by-step explanation:
3 eggs are required to make 30 cookies
1 cookie needs 3/30 eggs
so,50 cookies needs 50*3/30=150/30=<u>5 eggs</u>
2 cups of sugar is required to make 30 cookies
1 cookie needs 2/30 cups of sugar
so,50 cookies needs 50*2/30=100/30=<u>3.33 cups of sugar</u>
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.