document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293270>Question 293270</A>: <I><SPAN STYLE=\"word-break: break-all;\">  number of tickets sold for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+12+14, where x is the number of days since the first concert was announced.when will daily sales peak and how many tickets will be sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211722 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">      number of tickets sold for an upcoming performance of Handel's Messiah is given by N(x)=-0.4x^2+12+14, where x is the number of days since the first concert was announced.when will daily sales peak and how many tickets will be sold?<BR>\n" );
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document.write( "The peak sales will be the vertex (since the formula describes a parabola that opens downward).<BR>\n" );
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document.write( "Axis of symmetry:<BR>\n" );
document.write( "x = -b/(2a) = -12/(2*(-0.4)) = 15 (days after announcement for peak sales)<BR>\n" );
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document.write( "N(x)=-0.4x^2+12x+14<BR>\n" );
document.write( "N(15)=-0.4(15)^2+12(15)+14<BR>\n" );
document.write( "N(15)= 104 (number of tickets sold at peak)<BR>\n" );
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