document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=746083>Question 746083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi Tutor,\r<BR>\n" );
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document.write( "Can you please show me how to do the following question step by step.\r<BR>\n" );
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document.write( "Question\r<BR>\n" );
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document.write( "The sum of six times the first number and four times the second number is 48. If the product of two numbers is a maximum, what are the two numbers.\r<BR>\n" );
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document.write( "So far I have the following:\r<BR>\n" );
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document.write( "x= First number<BR>\n" );
document.write( "y= Second number\r<BR>\n" );
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document.write( "48= 6x+4y ---> x=48-4y/6\r<BR>\n" );
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document.write( "m=xy ---> m=48-4y/6 (y) \r<BR>\n" );
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document.write( "Can you show me show to solve this step by step. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454163 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+%2B+4y+=+48+ ALIGN=MIDDLE  ALT=\"+6x+%2B+4y+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+2y+=+24+ ALIGN=MIDDLE  ALT=\"+3x+%2B+2y+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+-3x+%2B+24+ ALIGN=MIDDLE  ALT=\"+2y+=+-3x+%2B+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-3%2F2%29%2Ax+%2B+12+ ALIGN=MIDDLE  ALT=\"+y+=+%28-3%2F2%29%2Ax+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2Ay+=+x%2A%28+%28-3%2F2%29%2Ax+%2B+12+%29+ ALIGN=MIDDLE  ALT=\"+x%2Ay+=+x%2A%28+%28-3%2F2%29%2Ax+%2B+12+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-3%2F2%29%2Ax%5E2+%2B+12x+ ALIGN=MIDDLE  ALT=\"+%28-3%2F2%29%2Ax%5E2+%2B+12x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a maximum at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-12%2F%28+2%2A%28-3%2F2%29%29+ ALIGN=MIDDLE  ALT=\"+x+=+-12%2F%28+2%2A%28-3%2F2%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=+x+=+12+%2F+3+ ALIGN=MIDDLE  ALT=\"+x+=+12+%2F+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4+ ALIGN=MIDDLE  ALT=\"+x+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4+ ALIGN=MIDDLE  ALT=\"+x+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-3%2F2%29%2Ax+%2B+12+ ALIGN=MIDDLE  ALT=\"+y+=+%28-3%2F2%29%2Ax+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-3%2F2%29%2A4+%2B+12+ ALIGN=MIDDLE  ALT=\"+y+=+%28-3%2F2%29%2A4+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-6+%2B+12+ ALIGN=MIDDLE  ALT=\"+y+=+-6+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+6+ ALIGN=MIDDLE  ALT=\"+y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "The numbers are 4 and 6<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "The 2 curves are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-3%2F2%29%2Ax+%2B+12+ ALIGN=MIDDLE  ALT=\"+y+=+%28-3%2F2%29%2Ax+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2Ay+=+4%2A6+ ALIGN=MIDDLE  ALT=\"+x%2Ay+=+4%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+24%2Fx+ ALIGN=MIDDLE  ALT=\"+y+=+24%2Fx+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here's the 2 plots along with the parabola that tells you<BR>\n" );
document.write( "the value of the product at the intersection.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-10%2C+10%2C+-4%2C+30%2C+%28-3%2F2%29%2Ax+%2B+12%2C+24%2Fx%2C+%28-3%2F2%29%2Ax%5E2+%2B+12x+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );