3/4 is equal to .75
so any number in between .75 and .80 would be the answer.
.76 .77 .78 .79 would all be inbetwen
1/8 because 7/8 - 3/4 is equal to 7/8 -6/8 which is 1/8
Answer: A(W) = 100W -
Step-by-step explanation:
The formula for calculating the perimeter is given as :
P = 2 ( L + W )
the perimeter is given as 200 , that is
200 = 2 ( L + W )
Dividing through by 2 , we have
100 = L + W
Make L the subject of the formula ;
L = 100 - W
The formula for the area is given as Length x width , substituting the values , we have :
A = LW , since , L = 100 - W , we have
A = (100- W) (W)
A = 100W -
Therefore :
A(W) = 100W -
Use both!
You want to minimize <em>P</em>, so differentiate <em>P</em> with respect to <em>x</em> and set the derivative equal to 0 and solve for any critical points.
<em>P</em> = 8/<em>x</em> + 2<em>x</em>
d<em>P</em>/d<em>x</em> = -8/<em>x</em>² + 2 = 0
8/<em>x</em>² = 2
<em>x</em>² = 8/2 = 4
<em>x</em> = ± √4 = ± 2
You can then use the second derivative to determine the concavity of <em>P</em>, and its sign at a given critical point decides whether it is a minimum or a maximum.
We have
d²<em>P</em>/d<em>x</em>² = 16/<em>x</em>³
When <em>x</em> = -2, the second derivative is negative, which means there's a relative maximum here.
When <em>x</em> = 2, the second derivative is positive, which means there's a relative minimum here.
So, <em>P</em> has a relative maximum value of 8/(-2) + 2(-2) = -8 when <em>x</em> = -2.
