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:
15
Step-by-step explanation:
(-4,0) (3,-5) I don't know if they mean two ordered pairs so I'm pretty sure this is right
Answer: y = 3x^2 -x + 2
Step-by-step explanation:
Answer:
6(√2 - 5√3).
Step-by-step explanation:
3√2 ( 2 - 5 √6)
= 6√2 - 15√12
= 6√2 - 15√4√3
= 6√2 - 30√3
= 6(√2 - 5√3)
