document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=495245>Question 495245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The gas mileage g (measured in mi/gal) for a particular vehicle, driven at v mi/h, is given by the formula g=10+0.9v-0.01v^2, as long as v is between 10 mi/h and 75 mi/h. For what range of speeds is the vehicle's mileage 30 mi/gal or better?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336025 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=336025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve: 10+0.9v-0.01v^2 >= 30<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "0.01v^2 - 0.9v + 20 <= 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply thru by 100:<BR>\n" );
document.write( "v^2 - 90v + 2000 <= 0<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Solve the Equality:<BR>\n" );
document.write( "(v-50)(v+40) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "v = 50<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Complete solution v <= 50<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );