document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628672>Question 628672</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two positive numbers is 9 and the product is a maximum. What are the numbers? Round your answer to one decimal place.\r<BR>\n" );
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document.write( "Whats the first number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395785 by </B><A HREF=/tutors/aboutme.mpl?userid=John10><B>John10(297)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=John10><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=John10><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395785\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two positive numbers is 9 and the product is a maximum. What are the numbers? Round your answer to one decimal place.\r<BR>\n" );
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document.write( "Let x and y be positive numbers\r<BR>\n" );
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document.write( "x + y = 9\r<BR>\n" );
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document.write( "y = 9 - x\r<BR>\n" );
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document.write( "Let A be the maximum product of x and y.\r<BR>\n" );
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document.write( "A = xy = x(9 - x) = 9x - x^2\r<BR>\n" );
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document.write( "Now we will use the vertex formula to find x:\r<BR>\n" );
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document.write( "x = -b/2a = -(9)/2(-1) = 9/2 = 4.5\r<BR>\n" );
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document.write( "So x is 4.5 then y = 9 - 4.5 = 4.5\r<BR>\n" );
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document.write( "So x = y = 4.5\r<BR>\n" );
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document.write( "Hope it helps:)<BR>\n" );
document.write( "John10 </SPAN>\n" );
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