document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180769>Question 180769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve: \r<BR>\n" );
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document.write( "the polynomial function f(50)= 0.04^3-0.14x^2+5.1x+11 models the path of a portion of the track of a roller coaster as shown. x=50\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135491 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=135491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=0.04x%5E3-0.14x%5E2%2B5.1x%2B11 ALIGN=MIDDLE  ALT=\"f%28x%29=0.04x%5E3-0.14x%5E2%2B5.1x%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2850%29=0.04%2850%29%5E3-0.14%2850%29%5E2%2B5.1%2850%29%2B11 ALIGN=MIDDLE  ALT=\"f%2850%29=0.04%2850%29%5E3-0.14%2850%29%5E2%2B5.1%2850%29%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=50 ALIGN=MIDDLE  ALT=\"x=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2850%29=0.04%28125000%29-0.14%2850%29%5E2%2B5.1%2850%29%2B11 ALIGN=MIDDLE  ALT=\"f%2850%29=0.04%28125000%29-0.14%2850%29%5E2%2B5.1%2850%29%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cube <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125000 ALIGN=MIDDLE  ALT=\"125000\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2850%29=0.04%28125000%29-0.14%282500%29%2B5.1%2850%29%2B11 ALIGN=MIDDLE  ALT=\"f%2850%29=0.04%28125000%29-0.14%282500%29%2B5.1%2850%29%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2500 ALIGN=MIDDLE  ALT=\"2500\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2850%29=5000-0.14%282500%29%2B5.1%2850%29%2B11 ALIGN=MIDDLE  ALT=\"f%2850%29=5000-0.14%282500%29%2B5.1%2850%29%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.04 ALIGN=MIDDLE  ALT=\"0.04\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125000 ALIGN=MIDDLE  ALT=\"125000\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5000 ALIGN=MIDDLE  ALT=\"5000\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2850%29=5000-350%2B5.1%2850%29%2B11 ALIGN=MIDDLE  ALT=\"f%2850%29=5000-350%2B5.1%2850%29%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.14 ALIGN=MIDDLE  ALT=\"-0.14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2500 ALIGN=MIDDLE  ALT=\"2500\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-350 ALIGN=MIDDLE  ALT=\"-350\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2850%29=5000-350%2B255%2B11 ALIGN=MIDDLE  ALT=\"f%2850%29=5000-350%2B255%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.1 ALIGN=MIDDLE  ALT=\"5.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=255 ALIGN=MIDDLE  ALT=\"255\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2850%29=4916 ALIGN=MIDDLE  ALT=\"f%2850%29=4916\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2850%29=4916 ALIGN=MIDDLE  ALT=\"f%2850%29=4916\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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