You have the correct answer on your paper so you should be good if not let me know what else you need:)
Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
Answer:
(2,4)
Step-by-step explanation:
When graphed the lines intersect at point (2,4) which is the solution.
Answer:
20 gmaes in all
Step-by-step explanation:
14/x = 70%
x = 14/70%
Answer:
The slope is -2/3
Step-by-step explanation:
It is recommended to solve for 'y' variable the equation given, this means, leave the 'y' variable alone in one side of the equation. Doing that, leaves us the following:

This is the general equation of a line:
where 'm' is the slope (by comparison), thus We have the desired result