Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.
If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.
If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.
However, the area x*y must be constant and = 100.
We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.
We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.
So, the difference between the max and min values of x+y = 101 - 20 = 81.
Answer: Division Property of Equality
Let n be the number 18=60% of n
18=0.6n
18/0.6=n
30=n
Answer:
The answer is C.
Step-by-step explanation:
The first line's slope is 2x and it y-intercept is 4. The second line's slope is simple 1x or just x (they are both the same).
Answer:
7x²-12x-10
Step-by-step explanation:
(5x²-8x+1) + (2x²-4x-11)
combine like terms
7x²-12x-10