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:
1410ft²
Step-by-step explanation:
20 * 12 * 2 + [62 * (15 + 12)] =
480 + (62 * 15) =
480 + 930 =
1410ft²
Answer:
Step-by-step explanation:
i'll do a few of them
1) one inch plus a half inch plus an eighth inch plus a sixteenth inch
1 + 1/2 + 1/8 + 1/16 read the tick marks
1 + 8/16 + 2/16 + 1/16 find a common denominators
1 and 11/16 add the sixteenth numerator
2)
3)
4) 6 inch plus an eighth inch plus a sixteenth inch
6 + 1/8 + 1/16 read the tick marks
6 + 2/16 + 1/16 find a common denominators
6 and 3/16 add the sixteenth numerator
5) nine inch plus a quarter inch plus an eighth inch
9 + 1/4 + 1/8 read the tick marks
9 + 2/8 + 1/8 find a common denominators
9 and 3/8 add the sixteenth numerator
Answer:
-x<3 is the same as x>-3 because when you divide -x<3 by -1 on both sides it ends up as x>-3. (They're the same thing just one isn't simplified.)
Step-by-step explanation:
