document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119183>Question 1119183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The path of tennis ball during a serve is given by h(x)=0.002x^2-0.03x+8, where h(x) is the height of the ball in feet x feet from the server. For a serve to be legal in tennis, the ball must be at least 3 feet high when it is 39 feet from the server, and it must land in a spot that is less than 60 feet from the server. Does the path of the ball satisfy the conditions of a legal serve?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734655 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe your formula is incorrect.\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "h(x) = .002x^2 - 0.03x + 8\r<BR>\n" );
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document.write( "this results in a curve that bottoms out in the middle and extends upward on into infinity, never touching the ground.\r<BR>\n" );
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document.write( "that curve looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/062702.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "i believe you should have:\r<BR>\n" );
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document.write( "h(x) = -.002x^2 - 0.03x + 8\r<BR>\n" );
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document.write( "that curve looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/062703.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "given what i believe your equation should be, then:\r<BR>\n" );
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document.write( "the ball is at least 3 feet high 39 feet from the server and the ball touches the ground less than 60 feet from the server.\r<BR>\n" );
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document.write( "it therefore satisfies the conditions for a legal serve.\r<BR>\n" );
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