document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62284>Question 62284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cant figure this one out.\r<BR>\n" );
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document.write( "Find the vertical and horizontal asymptotes of y=(5x^2-8x+1)/(2x^2-5x-12)\r<BR>\n" );
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document.write( "thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43019 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=43019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertical and horizontal asymptotes of y=(5x^2-8x+1)/(2x^2-5x-12)<BR>\n" );
document.write( "When the degree of the numerator and denominator are the same, the horizontal asymptote will be at their leading coefficients: y=5/2<BR>\n" );
document.write( "There is a vertical asymptote anywhere that it is undefined once it's factored and simplified.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285x%5E2-8x%2B1%29%2F%28%282x%5E2-8x%2B3x-12%29%29 ALIGN=MIDDLE  ALT=\"y=%285x%5E2-8x%2B1%29%2F%28%282x%5E2-8x%2B3x-12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285x%5E2-8x%2B1%29%2F%282x%28x-4%29%2B3%28x-4%29%29 ALIGN=MIDDLE  ALT=\"y=%285x%5E2-8x%2B1%29%2F%282x%28x-4%29%2B3%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285x%5E2-8x%2B1%29%2F%28%282x%2B3%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"y=%285x%5E2-8x%2B1%29%2F%28%282x%2B3%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are two vertical asymptotes:<BR>\n" );
document.write( "2x+3=0 and x-4=0<BR>\n" );
document.write( "2x=-3 and x=4<BR>\n" );
document.write( "x=-3/2 and x=4<BR>\n" );
document.write( "Here's what it looks like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%285x%5E2-8x%2B1%29%2F%282x%5E2-5x-12%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%285x%5E2-8x%2B1%29%2F%282x%5E2-5x-12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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