First, combine the like terms:
-x+8=3
Then, isolate x:
-x=-5
Then, divide by -1:
x=5
We know the perimeter formula would be 1200=2x+2y. And the area will be A=x*y
We can to take the derivative of the area formula to find where it is a max but we must first substitute something in from the first formula so we only have one variable.
1200-2x=2y
600-x=y
A=(x)*(600-x)
A=600x-x^2
Now we take the derivative:
A'=600-2x (set equal to 0 and solve)
0=600-2x
2x=600
x=300
Then when we plug this into the perimeter formula, we can solve for y
1200=2x+2y
1200=2(300)+2y
1200=600+2y
600=2y
y=300
So both the length and width are 300 yards, and the area would be 90,000 square yards
Hope this helps
The answer is going too be -4 or you can write it as (0,-4) I think
Answer:Kimo is 17 years old and Jennifer is 13 years old.
Step-by-step explanation:
Let x represent Kimo's current age.
Let y represent Jennifer's current age.
Nine years ago, Kimo was twice as old as Jennifer was then. It means that
x - 9 = 2(y - 9)
x - 9 = 2y - 18
x = 2y - 18 + 9 = 2y - 9
In four years, Jennifer will be the same age that Kimo is now. It means that
x = y + 4 - - - - - - - - - 1
Substituting x = 2y - 9 into equation 1, it becomes
2y - 9 = y + 4
2y - y = 4 + 9
y = 13
x = 2y - 9 = 2 × 13 - 9
x = 17
Answer:
12x < 4
Step-by-step explanation:
6x < 2 is twice 3x < 1
so 12x < 4 is twice 6x < 2
