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gweavill
gweavill
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$1.00 working on graphing parabolas and Quadra

  • From Mathematics: Algebra
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  • Due on Aug. 01, 2009
  • Asked on Jul. 29, 2009 at 10:48:34AM
Q:
working on graphing parabolas and Quadratic functions, as well as the minimum and maximums of Quadtratic functions. The problem gives me a picture of a rectangular field. One side = x and the other = 50 - x
The figure shown indicates that you have 100 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?

I know that to find the maximum, I am looking for - b / 2(a). However, I am not sure how to set the problem up in a quadratic function in the form of f(x)-ax^2 + bx +c to identify a & b.

I can assume that the answer is w = 20 and L = 30 with an area of 600, but I am not sure how (other than guessing numbers) I came up with that, and therefore I am unable to show my work, and unable to work similar problems. In this case, setting the problem up as 2x+2(50-x)=100 does not work as it comes up with 0
 


   
   
   
   
 
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Posted by:
accalibo
accalibo
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$1.00 the correct answer with detailed calculations

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  • Posted on Jul. 29, 2009 at 10:53:05AM
A:
Preview: ... close a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?<br><br><br>one side ...

The full tutorial is about 112 words long .
Posted by:
SandyS
SandyS
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$1.00 Correct answer with detailed explanations..................

  • This tutorial was purchased 1 time and rated A- by students like you.
  • Posted on Jul. 29, 2009 at 11:00:46AM
A:
Preview: ... le with sides x and 50 - x.<br><br>Using formula <br><br>Area = x(50 - x)= -x^ ...

The full tutorial is about 68 words long .
   
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