document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76192>Question 76192</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131866710/algebrahomeworkh>College Algebra Esssentials</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I could really use some help with this problem. <BR>\n" );
document.write( "A rectangle has one vertex on the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=8-2x ALIGN=MIDDLE  ALT=\"y=8-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > x>0, another at the orgin, one on the positive x-axis, and one on the positive y-axis. <BR>\n" );
document.write( "Draw the graph. Express the area of rectangle A(x) as a function of horizontal side x. Find the dimensions and area of largest rectangle that can fit under the line in Quadrant 1. <BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jodi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54694 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area of the rectangle is the product of the x and y coordinates on the y=8-2x line...this means A(x)=x(8-2x)...or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28x%29=8x-2x%5E2 ALIGN=MIDDLE  ALT=\"A%28x%29=8x-2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the graph of A(x) is a downward opening parabola with zeros at x=0 and x=4...the axis of symmetry (and the maximum point) is midway between the zeros at x=2\r<BR>\n" );
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document.write( "so for x=2...A(x)=8...and y=4 </SPAN>\n" );
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