Suppose the length of the triangle is x, if the perimeter of the rectangle is 100 ft, the width of the rectangle will be (50-x) ft.
Area of rectangle will be:
A=length*width
A=x(50-x)
A=50x-x^2
at maximum area, dA/dx=0
thus
dA/dx=50-2x=0
solving for x we get
2x=50
x=25
thus for maximum area length=25 ft
the size of the width will be
50-x=50-25=25 ft
thus the maximum area will be:
25*25=625 sq. feet
The answer is C: Lincoln uses 25 cents worth of supplies per cup.
Answer:
A ( -2 , 9 )
Step-by-step explanation:
<u>Idea:</u> You find the first derivative of f(x), and then set it equal to the desired slope. You'll find some x. That we will use to find the point.
f'(x) = 3x^2 + 12x + 20
f'(x) = 8
3x^2 + 12x + 20 = 8
3x^2 + 12x + 12 = 0
3 ( x^2 + 4x + 4 ) = 0
3 ( x + 2 )^2 = 0
x + 2 = 0
x = -2
So, the desired point is:
A ( -2, f(-2) ) --> A ( -2 , 9 )
Answer:
$630.50
Step-by-step explanation:
Its 2 long sides and one long side so its B
