document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043530>Question 1043530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28x%29=2sqrt%28x-5%29%2B3x ALIGN=MIDDLE  ALT=\"p%28x%29=2sqrt%28x-5%29%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, what is the minimum value of P? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658662 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658662\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28x%29 ALIGN=MIDDLE  ALT=\"p%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28x-5%29%2B3x ALIGN=MIDDLE  ALT=\"2sqrt%28x-5%29%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, what is the minimum value of P?<BR>\n" );
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document.write( "The square root part domain is x >= 5.<BR>\n" );
document.write( "So, it is the domain for the entire p(x).\r<BR>\n" );
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document.write( "In this domain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x-5%29 ALIGN=MIDDLE  ALT=\"sqrt%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > monotonically grows.<BR>\n" );
document.write( "3x monotonically grows too.\r<BR>\n" );
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document.write( "Hence, p(x) monotonically grows.<BR>\n" );
document.write( "It implies that the minimum value of p(x) is at x = 5. You can easily calculate it.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+330%2C+330%2C+-2.5%2C+10.5%2C+-2.5%2C+25.5%2C%0D%0A++++++++++2%2Asqrt%28x-5%29%2B3x%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<B>Figure</B>. Plot f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28x-5%29%2B3x ALIGN=MIDDLE  ALT=\"2sqrt%28x-5%29%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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