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: $3 per pound
Step-by-step explanation:
Since Carson buys 4 pounds of peaches for $12, you can find the value of one pound by dividing 4 by 4. You must also divide the 12 by 4. In conclusion, you pay $3 per pound.
Answer:
Step-by-step explanation:
80, 82, 88, 90, 100
Now cross out the numbers starting with 80 and 100 and keep going till you get the middle number which would be 88
Answer:
f(8)=34
Step-by-step explanation:
To solve, you just substitute x for 8
4(8) + 2
32 + 2
F(8) = 34
Please see the answer here
http://www.wolframalpha.com/input/?i=y%5E-1%20dy%20%2Bye%5E%28cosx%29%20sinxdx%3D0
