document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812154>Question 812154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't know what number to use for width?  <BR>\n" );
document.write( "\"The function A(x)=x(10-x) describes the area A of a rectangular flower garden where x is it's width in yards. What is the maximum area of the garden?\"\r<BR>\n" );
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document.write( "Please help.  Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489035 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=489035\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A(x) = x(10 - x)<BR>\n" );
document.write( "10x - x^2<BR>\n" );
document.write( "(-1)x^2 + 10x + 0 = Area<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=-1, b=10, and c=0<BR>\n" );
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document.write( "the x coordinate of the max (or min) of the quadratic function is given by: x = -b/2a<BR>\n" );
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document.write( "x = -b/2a<BR>\n" );
document.write( "x = -10/2(-1)<BR>\n" );
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document.write( "x = 5<BR>\n" );
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document.write( "the y coordinate of the max (or min) of the quadratic function is found by evaluating the function at the x coordinate of the max (or min)<BR>\n" );
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document.write( "y = (-1)x^2 + 10x + 0<BR>\n" );
document.write( "y = (-1)5^2 + 10(5) + 0<BR>\n" );
document.write( "y = -25 + 50 + 0<BR>\n" );
document.write( "y = 25<BR>\n" );
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document.write( "because a < 0 the vertex of the quadratic is a maximum, and (5, 25) is the maximum.<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "the maximum area of the garden is 25 sq.yd<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+20%2C+-30%2C+30%2C+%28-1%29x%5E2+%2B+10x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+20%2C+-30%2C+30%2C+%28-1%29x%5E2+%2B+10x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
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document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
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