Answer:
Step-by-step explanation:
Let the length of the fence = x
Let the width of the fence = y
Recall that the perimeter of a rectangle is calculated by 2(L+B) , but the farmer is using the side of the barn on one side of the rectangle , so the perimeter equation is
x + 2y = 48
Area = xy
If we substitute the perimeter equation so that the area is only in terms of y.
Area = (48 - 2y)y
Area = 48y - 2![y^{2}](https://tex.z-dn.net/?f=y%5E%7B2%7D)
Now just find the vertex of the parabola
Area = -2
+ 48y
A = -2
+ 48
Differentiate A with respect to y
= -4y + 48
equate it to zero , we have
-4y + 48 = 0
4y = 48
y = 12
Substitute y = 12 into equation 1, we have
x = 48 - 2y
x = 48 - 2(12)
x = 48 - 24
x = 24
Therefore the dimensions of the garden are 24 by 12
The maximum area is 288 square unit
Degree is 6 and the leading coefficient is -18
Answer:
70
Step-by-step explanation:
210/3=70
Check:
70x3=210
Answer:
x^3-5x^2+4x
Step-by-step explanation:
(x+(-1))(x-0)(x-4)
(x-1)(x)(x-4)
x(x-1)(x-4)
(x^2-x)(x-4)
x^3-x^2-4x^2+4x
x^3-5x^2+4x
Answer:
The distance in km from Tempe after t hours of driving is given by
x = D(t) = 13 + 57t.
We just need to find the value t function of x
x = 13 + 57*t
x -13 = 57*t
57*t = x -13
t = (1/57)*x -(13/57)
We can see the plots of both equation in the picture below.