document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165756>Question 165756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x²+2.7x, where x is the horizontal distance the football travels in yards and f(x) is the vertical distance the football travels. The bottom of the upright is 3.5 yards above the ground.\r<BR>\n" );
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document.write( "Assuming the kick is in between the uprights, did the kicker make the field goal? Why or Why not? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122199 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x²+2.7x, where x is the horizontal distance the football travels in yards and f(x) is the vertical distance the football travels. The bottom of the upright is 3.5 yards above the ground.<BR>\n" );
document.write( "Assuming the kick is in between the uprights, did the kicker make the field goal? Why or Why not?\r<BR>\n" );
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document.write( "Find value of x (dist) when f(x) = 3.5 (height)<BR>\n" );
document.write( "-.0625x² + 2.7x = 3.5<BR>\n" );
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document.write( "-.0625x² + 2.7x - 3.5 = 0<BR>\n" );
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document.write( "Use the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In this problem a=-.0625; b=+2.7; c=-3.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2.7+%2B-+sqrt%282.7%5E2+-+4+%2A+-.0625+%2A+-3.5+%29%29%2F%282%2A-.0625%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2.7+%2B-+sqrt%282.7%5E2+-+4+%2A+-.0625+%2A+-3.5+%29%29%2F%282%2A-.0625%29+\"   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+=+%28-2.7+%2B-+sqrt%287.29+-+.875%29%29%2F%28-.125%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2.7+%2B-+sqrt%287.29+-+.875%29%29%2F%28-.125%29+\"   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+=+%28-2.7+%2B-+sqrt%286.415%29%29%2F%28-.125%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2.7+%2B-+sqrt%286.415%29%29%2F%28-.125%29+\"   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+=+%28-2.7+%2B+2.533%29%2F%28-.125%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2.7+%2B+2.533%29%2F%28-.125%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+=+%28-.167%29%2F%28-.125%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-.167%29%2F%28-.125%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 1.33; not the solution we want here<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2.7+-+2.533%29%2F%28-.125%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2.7+-+2.533%29%2F%28-.125%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+=+%28-5.233%29%2F%28-.125%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-5.233%29%2F%28-.125%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 41.86 yds; clears the upright nicely<BR>\n" );
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document.write( "The ball had traveled almost 42 yds when it had descended to 3.5 meters </SPAN>\n" );
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