document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114189>Question 1114189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of tickets sold each day for an upcoming performance of&#8203; Handel's Messiah is given by N(x)=&#8722;0.5x2+11x+11&#8203;, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that&#8203; day?<BR>\n" );
document.write( "Ticket sales will peak_____days after the concert was first announced. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729209 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=729209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%28x%29+=+-.5x%5E2+%2B+11x+%2B+11+ ALIGN=MIDDLE  ALT=\"+N%28x%29+=+-.5x%5E2+%2B+11x+%2B+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the form of the quadratic is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the<BR>\n" );
document.write( "x-value of the<BR>\n" );
document.write( "vertex ( peak in your case ) is at<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bv%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x%5Bv%5D+=+-b%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+=+-.5+ ALIGN=MIDDLE  ALT=\"+a+=+-.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+11+ ALIGN=MIDDLE  ALT=\"+b+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bv%5D+=+-11%2F%282%2A%28-.5%29%29+ ALIGN=MIDDLE  ALT=\"+x%5Bv%5D+=+-11%2F%282%2A%28-.5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bv%5D+=+11+ ALIGN=MIDDLE  ALT=\"+x%5Bv%5D+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%2811%29+ ALIGN=MIDDLE  ALT=\"+N%2811%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%2811%29+=+-.5%2A11%5E2+%2B+11%2A11+%2B+11+ ALIGN=MIDDLE  ALT=\"+N%2811%29+=+-.5%2A11%5E2+%2B+11%2A11+%2B+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%2811%29+=+-55.5+%2B+121+%2B+11+ ALIGN=MIDDLE  ALT=\"+N%2811%29+=+-55.5+%2B+121+%2B+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%2811%29+=+132+-+55.5+ ALIGN=MIDDLE  ALT=\"+N%2811%29+=+132+-+55.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+N%2811%29+=+76.5+ ALIGN=MIDDLE  ALT=\"+N%2811%29+=+76.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Ticket sales will peak 77 days after concert was announced<BR>\n" );
document.write( "( check the math )<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );