document.write( "Question 50100: I have the following problem and would appreciate some help getting started with it please. It is: The daily profit for a white goods company from the sale of bar fridges is given by P(x)= -x^2+40x+825. x is the number of bar fridges sold. find the function's vertex and intercepts. \r
\n" ); document.write( "\n" ); document.write( "I am assuming that a= -1, b=40 and c=825. \n" ); document.write( "
Algebra.Com's Answer #33261 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
P(x)= -x^2+40x+825
\n" ); document.write( "Rewrite as follows:\r
\n" ); document.write( "\n" ); document.write( "P(x)-825 = -(x^2-40x)
\n" ); document.write( "Complete the square as follows:\r
\n" ); document.write( "\n" ); document.write( "P(x)-825-400 = -(x^2-40x+400)
\n" ); document.write( "P(x)-1225 = -(x-20)^2
\n" ); document.write( "This follows the form 4p(y-k)=-(x-h)^2
\n" ); document.write( "where (h,k) is the vertex.
\n" ); document.write( "The vertex is (20,1225)
\n" ); document.write( "The P(x) intercept is (0,825)
\n" ); document.write( "The x-intercepts are:
\n" ); document.write( "x=[-40+-sqrt(40^2+4(825)]/-2
\n" ); document.write( "x=[-40+-70]/-2
\n" ); document.write( "x=(55,0), (-15,0)\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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