document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=877550>Question 877550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Just a bit unsure what this question is asking and how to solve it.<BR>\n" );
document.write( " <BR>\n" );
document.write( "2. Consider the intersection of the functions y=m/10*x + m and y= m/x. Where m is a real number.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Investigate the values of m that may provide 0, 1 or 2 points of intersection?<BR>\n" );
document.write( " <BR>\n" );
document.write( "And;<BR>\n" );
document.write( " <BR>\n" );
document.write( "3. Consider the intersection of the functions y=mx+4 and y=4/x<BR>\n" );
document.write( " <BR>\n" );
document.write( "Investigate the values of m that may provide 0, 1 or 2 points of intersection?<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 #529422 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=529422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2) to find intersection point, set the functions equal to each other.<BR>\n" );
document.write( "(m/10)*x + m  =  m/x<BR>\n" );
document.write( "Multiply both sides of = by x<BR>\n" );
document.write( "(m/10)*x^2 + mx = m<BR>\n" );
document.write( "mx^2/10 +mx = m<BR>\n" );
document.write( "Multiply both sides of = by 10<BR>\n" );
document.write( "mx^2 + 10mx = 10m<BR>\n" );
document.write( "mx^2 + 10mx - 10m = 0<BR>\n" );
document.write( "Divide both sides of = by m<BR>\n" );
document.write( "x^2 + 10x - 10 = 0<BR>\n" );
document.write( "x^2 + 10x + 25 = 10 + 25<BR>\n" );
document.write( "(x+5)^2 = 35<BR>\n" );
document.write( "x+5 = square root(35)<BR>\n" );
document.write( "x = square root(35) - 5<BR>\n" );
document.write( "x = -square root (35) - 5<BR>\n" );
document.write( "3) mx + 4 = 4/x<BR>\n" );
document.write( "Multiply both sides of = by x<BR>\n" );
document.write( "mx^2 + 4x = 4<BR>\n" );
document.write( "mx^2 + 4x + 4 = 8<BR>\n" );
document.write( "m = 1<BR>\n" );
document.write( "(x+2)^2 = 8<BR>\n" );
document.write( "x+2 = square root (8)<BR>\n" );
document.write( "x+2 = 2*square root(2)<BR>\n" );
document.write( "x = 2*square root (2) - 2<BR>\n" );
document.write( "x = -2*square root (2) - 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );