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
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
The graph of an odd function has rotational symmetry about the origin, or at the point (0,0). That means we cut its graph along the y−axis and then reflect its even half in the x−axis first followed by the reflection in the y−axis. According to google about this information Answer should be image number 4
To determine the probability that one or the other circumstances will occur, you will count the number of possible outcomes and divide it by all the possible outcomes.
#of female teaching assistants + # of male teaching assistants + # of female professors
6 + 16 + 11 = 33
Total = 41
33/41 = 80
There is a approximate 80% probability that one or the other will occur.