Answer: I cheated and looked it up. It says parabola or basic parabola.
Let x denote the length of the side of the garden which is covered fenced by a shed, and
be the width of the garden.
The perimeter of a rectangle is given by 2(length + width)
i.e.
which gives:
For the area to be maximum, the differentiation of A with respect to x must be equal to 0.
i.e.
Therefore, the maximum area of the garden enclosed is given by
11/132 or .833333333333333333333333333333333333333333333333333333333
Answer:
B
x + y = 712
8x + 4y = 4,256
Step-by-step explanation:
If x=the amount of adult tickets, and y=the amount of children's tickets, then the total amount of tickets (712) should be x+y. Our first equation: x+y=712
The total made from adult tickets is found by multiplying the amount of tickets by the price per ticket: 8x. The total made from children's tickets is found by multiplying the amount of tickets by the price per ticket: 4y.The total amount of money made (4256) is the sum of the amount made by adult tickets (8x) and the amount made by children's tickets (4y). Our second equation: 8x+4y=4256
Presenting the table vertically makes it easier to read:
X F(x)
-1 -5
0 -1
1 3
I see that if x increases by 1 from 0 to 1, y increases by 4 from -1 to 3. Thus, the slope of the line represented by the table is:
4
m = -------------- = 4/1 = 4
1
So, our two lines have the same slope: 4.
g(x) = 4x + 3; f(x) = 4x - 1
but they have different y-intercepts. Thus, the 2 lines are parallel and never cross one another.