document.write( "Question 1191565: Find two nonnegative numbers whose sum is 12 such that their
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Algebra.Com's Answer #823368 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Instead of doing yours for you, I'll do one exactly like it so you can\r\n" );
document.write( "use it as a model to do yours by.  The one I'll do for you is:
Find two nonnegative numbers whose sum is 10 such that their
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Let x be one of the nonnegative numbers.\r\n" );
document.write( "Then, since their sum is 10, the other nonnegative number is 10-x\r\n" );
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document.write( "Let y = their product = x(10-x) = 10x-x2 = -x2+10x\r\n" );
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document.write( "We graph y = -x2+10x where a=-1, b=10, c=0\r\n" );
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document.write( "The vertex is the highest point. So we find the coordinates of the vertex,\r\n" );
document.write( "using the vertex formula:\r\n" );
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document.write( "1.  x-coordinate of vertex = \"-b%2F%282a%29%7D%7D%7B%7B%7B%22%22=%22%22\"\"-%2810%29%2F%282%28-1%29%29\"\"%22%22=%22%22\"\"5\"\r\n" );
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document.write( "2.  y-coordinate, substitute x-coordinate in equation for parabola,\r\n" );
document.write( "\"y=-x%5E2%2B10x\"\"%22%22=%22%22\"\"-%285%29%5E2%2B10%285%29=-25%2B50=25\"\r\n" );
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document.write( "So the vertex is (5,25) which occurs when x=5\r\n" );
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document.write( "So one of the nonnegative numbers is x = 5\r\n" );
document.write( "The other nonnegative number is 10-x = 10-5 = 5\r\n" );
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document.write( "So the product of two nonnegative numbers whose sum is 10 is a maximum \r\n" );
document.write( "of 25 when the two nonnegative numbers are both 5.\r\n" );
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document.write( "Now do yours the same way.\r\n" );
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document.write( "Edwin
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