anonymous
  • anonymous
Suppose you have 50 feet of fencing to enclose a rectangular dog pen. The function A=25x-x^2, where x=width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum are?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
maximum is the second coordinate of the vertex the first coordinate of the vertex is always \(-\frac{b}{2a}\) which in your case is \(-\frac{25}{2\times -1}=12.5\)
anonymous
  • anonymous
so your final answer is 12.5?
anonymous
  • anonymous
in other words, in plain english, build a square

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anonymous
  • anonymous
your question has two parts: a) find the width, and b) find the area
anonymous
  • anonymous
huh? I got A=25-x^2 using -b/2a and got -50/2-1 and got width equaling 25
anonymous
  • anonymous
yes that is the question
anonymous
  • anonymous
the answer to the first part is the width and the length should both be \(12.5\)
anonymous
  • anonymous
\(b=25\) not \(50\)
anonymous
  • anonymous
so the maxium are would be.....
anonymous
  • anonymous
12.5x12.5?
anonymous
  • anonymous
whatever \(12.5\times 12.5\) is or whatever \(25\times 12.5-12.5^2\) is either way, it is the same number
anonymous
  • anonymous
thank you
anonymous
  • anonymous
yw
anonymous
  • anonymous
ok i have one more problem for you
anonymous
  • anonymous
it is fairly easy
anonymous
  • anonymous
ru up for it
terenzreignz
  • terenzreignz
What is it?

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