document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162485>Question 1162485</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The value of a stock, A(x), over a year long period decreased and then increased according to the<BR>\n" );
document.write( "quadratic function 𝐴(𝑥) = 0.75𝑥<BR>\n" );
document.write( "2 − 6𝑥 + 20, where x represents the number of months passed since<BR>\n" );
document.write( "you invested. The value of another stock, B(x), increased linearly according to the equation<BR>\n" );
document.write( "𝐵(𝑥) = 2.75𝑥 + 1.50 over the same year. After how long are both stocks worth the same amount? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786290 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set the two equal<BR>\n" );
document.write( "0.75x^2-6x+20=2.75x+1.50<BR>\n" );
document.write( "0.75x^2-8.75x+18.5=0<BR>\n" );
document.write( "x=(1/1.5)(8.75 +/- sqrt (76.56-55.5)); sqrt term is 4.59<BR>\n" );
document.write( "the larger root is later in time and is (2/3)(20.22)=8.89 months\r<BR>\n" );
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document.write( "(the earlier intersection was at 2.77 months)\r<BR>\n" );
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document.write( "can also multiply through by 4 to get 3x^2-35x+74\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-2%2C10%2C-10%2C30%2C0.75x%5E2-6x%2B20%2C2.75x%2B1.50%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-2%2C10%2C-10%2C30%2C0.75x%5E2-6x%2B20%2C2.75x%2B1.50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );