document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=633248>Question 633248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height y (in feet) of a punted football is given by<BR>\n" );
document.write( "y = &#8722; 16/2025^x2 + 9/5x + 1.5<BR>\n" );
document.write( "where x is the horizontal distance (in feet) from the point at which the ball is punted.<BR>\n" );
document.write( "(a) How high is the ball when it is punted?\r<BR>\n" );
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document.write( "(b) What is the maximum height of the punt? (Round your answer to two decimal places.)\r<BR>\n" );
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document.write( "(c) How long is the punt? (Round your answer to two decimal places.)<BR>\n" );
document.write( " ft  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398763 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=398763\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "(a) the constant term is the initial height.\r<BR>\n" );
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document.write( "(b) the horizontal distance traveled at the time when the ball is at maximum height is the value of the independent variable at the vertex of the graph of the parabola described by the function.  \r<BR>\n" );
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document.write( "The x-coordinate of the vertex of a parabola where the function is in <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \rho(x)\ =\ ax^2\ +\ bx\ +\ c\"> form is given by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{-b}{2a}\">.  The maximum height is then the value of the function at that point.  You can do your own arithmetic.\r<BR>\n" );
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document.write( "(c) The punt is over when the ball hits the ground, i.e. when the height is zero.  Set the function equal to zero and solve the quadratic.  Discard any negative root.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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