THIS IS NOT A LINK USE THE DESMOS GRAPHING CALCULATOR
Answer:
i think the answer you want is 8x^2+3d+3g-2h
Step-by-step explanation:
you have to combine like terms
the only like terms are +4d and -d which simplify to +3d
then you just write the rest out as written.
(0,-7)
-7=11(0)+4
-7=0+4
-7 is not 4 -----not a solution
(-1,-7)
-7=11(-1)+4
-7=-11+4
-7=-7 ----solution
(1,-7)
-7=11(1)+4
-7=11+4
-7=15
-7 is not 15 ----not a solution
(2,26)
26=11(2)+4
26=22+4
26=26 ----soltion
(-1, -7) & (2, 26) are solutions to the equation
The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.
Let the area be y .
Area = (base) × (height)
Base = 2x
Height = h
Let the area of the rectangular pens be y .
∴ y = 2xh
Perimeter of all the fencing = 4x+3h
∴ 4x+3h = 120
now we solve for h
3h = 120-4x
h = 40 - 4/3 x
Now we will substitute this value in the above first equation:
y = 2xh
or, y = 2x (40 - 4/3 x)
or, y = 80x - 8/3 x²
Now for the maximum area we have to find the first order differentiation of y
now,
dy /dx = 80 - 16/3 x
At dy/dx = 0 we get the value of x for which y is maximum.
80 - 16/3 x = 0
or, - 16/3 x = -80
or, x = 15 feet
Hence height = 40 - 4/3 x = 40 - 20 = 20feet
Maximum area = 2xh = 2×15×40 = 1200 square feet
The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.
Disclaimer : The missing figure for the question is attached below.
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brainly.com/question/27531272
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