document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=821710>Question 821710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Oil Leak \r<BR>\n" );
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document.write( "A tractor has an oil leak. The amount of oil, L(t), in milliliters per hour that leaks out is a function of the tractors operating temperature,t, in degrees Celsius. The function is L(t)=0.0004t^2+0.16t+20,100 degrees Celsius<=160 Celsius\r<BR>\n" );
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document.write( "a) How many milliliters of oil will leak out in 1 hour if the operating temperature of the tractor is 100 C?\r<BR>\n" );
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document.write( "b) If oil is leaking out at 53 milliliters per hour, what is the operating temperature of the tractor? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494344 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=494344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "L(t) = 0.0004t^2 + 0.16t + 20<BR>\n" );
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document.write( "answer a:<BR>\n" );
document.write( "t = 100 degrees C:<BR>\n" );
document.write( "L(1) = 0.0004(100)^2 + 0.16(100) + 20<BR>\n" );
document.write( "L(1) = 4 + 16 + 20<BR>\n" );
document.write( "L(1) = 40 ml per hour<BR>\n" );
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document.write( "answer b:<BR>\n" );
document.write( "L(t) = 53 = 0.0004t^2 + 0.16t + 20<BR>\n" );
document.write( "0.0004t^2 + 0.16t - 33 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=0.0004, b=0.16, and c=-33<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "0.0004 0.16 -33<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "the two real roots (i.e. the two x-intercepts), of the quadratic are:<BR>\n" );
document.write( "t = 150<BR>\n" );
document.write( "t = -550<BR>\n" );
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document.write( "negative operating temperature doesn't make sense for this problem, so use the positive root:<BR>\n" );
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document.write( "operating temperature is 150 degrees C<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
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document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
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