document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=487841>Question 487841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex of -0.2x^2+12x+11 <BR>\n" );
document.write( "I have used two different methods and came up with two different answers. I have solved for the x= 30 but when I went to do the maximum value I used two solutions and that is where I came up with different answers. The first I substituted the 30 in to the equation -0.2(30)^2+12(30)+11= 191; on the second I used the formula 4ac-b^2 /4a with a= -0.2 b= 12 c=11 I got 4(-0.2)(11)-12^2 divided by 4(-0.2) and came to the answer 169.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333152 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=333152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex of -0.2x^2+12x+11 <BR>\n" );
document.write( "the x-value of the vertex:<BR>\n" );
document.write( "x = -b/(2a) <BR>\n" );
document.write( "x = -12/(2*(-0.2))<BR>\n" );
document.write( "x = -12/(-0.4)<BR>\n" );
document.write( "x = 30<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y-value of vertex:<BR>\n" );
document.write( "-0.2x^2+12x+11 <BR>\n" );
document.write( "-0.2(30)^2+12(30)+11 <BR>\n" );
document.write( "-0.2(900)+12(30)+11 <BR>\n" );
document.write( "191<BR>\n" );
document.write( ".<BR>\n" );
document.write( "vertex is at (30, 191) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );