Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.
Thus, the length of fencing needed is given by
P = x + 2y
The area of the rectangle is given by xy,
i.e.

Substituting for y into the equation for the length of fencing needed, we have

For the amount of fencing to be minimum, then

Now, recall that

Thus, the length of fencing needed is given by
P = x + 2y = 24 + 2(12) = 24 + 24 = 48.
Therefore, 48 feets of fencing is needed to enclose the garden.
Answer:
f(5) = 17
Step-by-step explanation:
plug in 5 in the x so 3(5)+2 =17
Answer:
Step-by-step explanation:
Starting with the parent function, x was replaced by (x + 5), indicating that the graph of the new function is that of the old function shifted 5 units to the LEFT. That +2 shifts this result UP by 2 units.
49/8=6 (nearest whole number)
Answer:
1. y = 3x - 3
2. y = -2 1/2x + 10
10/-4 = -2 1/2 is the slope
3. undefined
4. y = x - 4
5. y = x - 5
6. 6x + 2y = 4 and -3y = 9x + 12
7. -3x + y = 7, y = 3x + 1, and y =3x
8. y = 2x + 5
9. y = 1/4x - 4