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niki1524
05.09.2019 •
Mathematics
Afarmer uses 1000 meters of fencing to build a rectangular corral. one side of the corral has length x. express the area a of the corral as a function of x.
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Ответ:
A(x) = 500x - x²
Step-by-step explanation:
The farmer needs 1000m of fencing to build the rectangular corral. You can also see this as the rectangular corral has a perimeter of 1000m. The expression used to find the perimeter of a rectangle is:
p = 2x + 2y
Where p is the perimeter, x is the length of one of the horizontal sides and y is the length of one the vertical sides. Knowing this, we can express y in terms of the perimeter and x, by isolating y:
y = (p - 2x)/2
Now, the area of that rectangle would be:
A = x*y
So we replace the expression we found for y in the expression for the Area and we get:
A = x*y = x*(p-2x)/2 = x*p/2 - x²
Replacing p with its value of 1000, we the Area in terms of x:
A(x) = 1000*x/2 - x² = 500*x - x²
Ответ:
A
Step-by-step explanation:
g(x)= (0.5) ^(x+3) - 4