document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123336>Question 123336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The stabilization ratio (births/deaths) for south and Central America can be molded by formula y=-0.0012x^2+0.074x+2.69  where y is the number of births divided by the number of deaths in the year 1950+x. Use the formula to find the yea in which the stabilization ratio was at its maximum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90516 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to find the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > at the axis of symmetry. <BR>\n" );
document.write( "whatever <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > is will be the maximum, but I only need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to answer the problem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-.0012x%5E2+%2B+.074x+%2B+2.69 ALIGN=MIDDLE  ALT=\"y+=+-.0012x%5E2+%2B+.074x+%2B+2.69\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When the equation is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+ax+%2B+bx+%2B+c ALIGN=MIDDLE  ALT=\"y+=+ax+%2B+bx+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > value at<BR>\n" );
document.write( "axis of symmetry is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%29+%2F+%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b%29+%2F+%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-.0012 ALIGN=MIDDLE  ALT=\"a+=+-.0012\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+.074 ALIGN=MIDDLE  ALT=\"b+=+.074\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b%29+%2F+%282a%29+=+-.074+%2F+2%2A%28-.0012%29 ALIGN=MIDDLE  ALT=\"%28-b%29+%2F+%282a%29+=+-.074+%2F+2%2A%28-.0012%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b%29+%2F+%282a%29+=+30.833 ALIGN=MIDDLE  ALT=\"%28-b%29+%2F+%282a%29+=+30.833\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The year in which the stabilization ratio is maximum is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1950+%2B+30.833 ALIGN=MIDDLE  ALT=\"1950+%2B+30.833\"   DISABLED_style= \"max-width:90%; height:auto;\" > or late in the year 1980. answer    </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );