9514 1404 393
Answer:
1250 square feet
Step-by-step explanation:
If x is the length of the side perpendicular to the creek, then the third side is (100 -2x) = 2(50 -x). The area is the product of length and width:
A = x(2)(50-x)
We observe that this is a quadratic function with zeros at x=0 and x=50. The vertex (maximum) of a quadratic function is on the line of symmetry, halfway between the zeros. The value of x there is (0 +50)/2 = 25.
Then the maximum area is ...
A = (25)(2)(50 -25) = 1250 . . . . square feet
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<em>Additional comment</em>
Note that half the length of the fence is used in one direction (parallel to the creek), and half is used in the other direction (perpendicular to the creek). This 50/50 split is the generic solution to all sorts of rectangular corral problems, with or without a creek, with or without internal partitions.
Half the fence is perpendicular to the other half. (If the costs are different in different directions, then the cost is what is split 50/50.)
Answer:
About $118.70
Step-by-step explanation:
139 x .2 = 27.8
139 - 27.8 = 111.2
111.2 x .0675 = 7.5
111.2 + 7.5 = 118.7
118.7 = $118.70
Answer:
its b
Step-by-step explanation:
you and sub the answers
As x approaches infinity the value of the function Y approaches infinity. There is a vertical asymptote at x = 0 (Solve denominator for x) and since the degree of the numerator is greater than the denominator there are no horizontal asymptotes. You can simplify the limit by merging the expression into (x^4 + 1)/x^2 and dropping the one and simplifying to x^2 which in x^2 as x approaches infinity Y approaches infinity. Hope that helps!
Answer:
42 = (7x +2) +3x
42 = 10x + 2 ( get rid of the 2)
40 = 10x
(get rid of the 10 by dividing 10 on each side)
x = 4