document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499417>Question 499417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10. Essay; show all work. Consider that the age, x, of a unicorn in human equivalent years can be given by the formula f(x) = - 0.001218x^4 + 0.082326x^3 – 1.3267x^2 + 12.46x + 4.914. When a unicorn is 2.5 years old, what is its age in human equivalent years? What about when it is 12 years old?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Ok wow I need some help please with this monster problem please. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337659 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=337659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-0.001218x%5E4%2B0.082326x%5E3-1.3267x%5E2%2B12.46x%2B4.914 ALIGN=MIDDLE  ALT=\"f%28x%29=-0.001218x%5E4%2B0.082326x%5E3-1.3267x%5E2%2B12.46x%2B4.914\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282.5%29=-0.001218%282.5%29%5E4%2B0.082326%282.5%29%5E3-1.3267%282.5%29%5E2%2B12.46%282.5%29%2B4.914 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2.5 ALIGN=MIDDLE  ALT=\"x=2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > (basically, replace ALL copies of x with 2.5).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282.5%29=-0.001218%2839.0625%29%2B0.082326%282.5%29%5E3-1.3267%282.5%29%5E2%2B12.46%282.5%29%2B4.914 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Raise  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5 ALIGN=MIDDLE  ALT=\"2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the 4th power to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39.0625 ALIGN=MIDDLE  ALT=\"39.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282.5%29=-0.001218%2839.0625%29%2B0.082326%2815.625%29-1.3267%282.5%29%5E2%2B12.46%282.5%29%2B4.914 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cube <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5 ALIGN=MIDDLE  ALT=\"2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15.625 ALIGN=MIDDLE  ALT=\"15.625\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282.5%29=-0.001218%2839.0625%29%2B0.082326%2815.625%29-1.3267%286.25%29%2B12.46%282.5%29%2B4.914 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5 ALIGN=MIDDLE  ALT=\"2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.25 ALIGN=MIDDLE  ALT=\"6.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282.5%29=-0.047578125%2B0.082326%2815.625%29-1.3267%286.25%29%2B12.46%282.5%29%2B4.914 ALIGN=MIDDLE  ALT=\"f%282.5%29=-0.047578125%2B0.082326%2815.625%29-1.3267%286.25%29%2B12.46%282.5%29%2B4.914\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.001218 ALIGN=MIDDLE  ALT=\"-0.001218\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39.0625 ALIGN=MIDDLE  ALT=\"39.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.047578125 ALIGN=MIDDLE  ALT=\"-0.047578125\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282.5%29=-0.047578125%2B1.28634375-1.3267%286.25%29%2B12.46%282.5%29%2B4.914 ALIGN=MIDDLE  ALT=\"f%282.5%29=-0.047578125%2B1.28634375-1.3267%286.25%29%2B12.46%282.5%29%2B4.914\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.082326 ALIGN=MIDDLE  ALT=\"0.082326\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15.625 ALIGN=MIDDLE  ALT=\"15.625\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.28634375 ALIGN=MIDDLE  ALT=\"1.28634375\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282.5%29=-0.047578125%2B1.28634375-8.291875%2B12.46%282.5%29%2B4.914 ALIGN=MIDDLE  ALT=\"f%282.5%29=-0.047578125%2B1.28634375-8.291875%2B12.46%282.5%29%2B4.914\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1.3267 ALIGN=MIDDLE  ALT=\"-1.3267\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.25 ALIGN=MIDDLE  ALT=\"6.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8.291875 ALIGN=MIDDLE  ALT=\"-8.291875\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282.5%29=-0.047578125%2B1.28634375-8.291875%2B31.15%2B4.914 ALIGN=MIDDLE  ALT=\"f%282.5%29=-0.047578125%2B1.28634375-8.291875%2B31.15%2B4.914\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12.46 ALIGN=MIDDLE  ALT=\"12.46\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5 ALIGN=MIDDLE  ALT=\"2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31.15 ALIGN=MIDDLE  ALT=\"31.15\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282.5%29=29.010890625 ALIGN=MIDDLE  ALT=\"f%282.5%29=29.010890625\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the 2.5 yr old unicorn is roughly 29.010890625 years old in human years.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I'll let you do the other part. Let me know if you still need help.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );