document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320010>Question 320010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ticket Sales. The number of tickets sold each day for<BR>\n" );
document.write( "an upcoming performance of Handel’s Messiah is<BR>\n" );
document.write( "given by<BR>\n" );
document.write( ",N(x) -0.5x^2+12x+13<BR>\n" );
document.write( "where x is the number of days since the concert was<BR>\n" );
document.write( "first announced. When will daily ticket sales peak and<BR>\n" );
document.write( "how many tickets will be sold that day?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229332 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=229332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> N(x)= -0.5x^2 + 12x + 13<BR>\n" );
document.write( "where x is the number of days since the concert was<BR>\n" );
document.write( "first announced. When will daily ticket sales peak and<BR>\n" );
document.write( "how many tickets will be sold that day?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Note that this is a quadratic equation where a=-.5, b=12, c=13<BR>\n" );
document.write( "Find the axis of symmetry, then the vertex<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"%28-b%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-12%29%2F%282%2A-.5%29+ ALIGN=MIDDLE  ALT=\"%28-12%29%2F%282%2A-.5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-12%29%2F%28-1%29+ ALIGN=MIDDLE  ALT=\"%28-12%29%2F%28-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 12 days since announced, will be peak ticket sales<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find N(x) for this value<BR>\n" );
document.write( "N(12) = -.5(12^2) + 12(12) + 13<BR>\n" );
document.write( "N(12) = -.5(144) + 144 + 13<BR>\n" );
document.write( "N(12) = -72 + 144 + 13<BR>\n" );
document.write( "N(12) = 85 tickets sold on day 12 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );