document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028734>Question 1028734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are jumping off the 12-foot diving board at the manicipal pool. You bounce up at 6 feet per second and drop to the water. Your height h (in feet) above the water in terms of t seconds is given by h(t)=-16t^2+6t+12. \r<BR>\n" );
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document.write( "a.) when do hit the water? round your answer to the nearest hundredth.\r<BR>\n" );
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document.write( "b.) what is your maximum height above the pool?\r<BR>\n" );
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document.write( "Thank you so much for taking your time to help me! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643807 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=643807\">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=+h%28t%29+=+-16t%5E2+%2B+6t+%2B+12+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+-16t%5E2+%2B+6t+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "You hit the water when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+0+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which<BR>\n" );
document.write( "is 12 ft below the diving board<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-16t%5E2+%2B+6t+%2B+12+ ALIGN=MIDDLE  ALT=\"+0+=+-16t%5E2+%2B+6t+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you can use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+t+=+%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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-16+ ALIGN=MIDDLE  ALT=\"+a+=+-16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+6+ ALIGN=MIDDLE  ALT=\"+b+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+12+ ALIGN=MIDDLE  ALT=\"+c+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-6+%2B-+sqrt%28+6%5E2+-+4%2A%28-16%29%2A12+%29%29+%2F+%282%2A%28-16%29%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-6+%2B-+sqrt%28+6%5E2+-+4%2A%28-16%29%2A12+%29%29+%2F+%282%2A%28-16%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=+t+=+%28-6+%2B-+sqrt%28+36+%2B+768+%29%29+%2F+%28-32%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-6+%2B-+sqrt%28+36+%2B+768+%29%29+%2F+%28-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-6+%2B-+sqrt%28+804+%29%29+%2F+%28-32%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-6+%2B-+sqrt%28+804+%29%29+%2F+%28-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-6+-+28.3549+%29+%2F+%28-32%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-6+-+28.3549+%29+%2F+%28-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-34.3549+%29+%2F+%28+-32+%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-34.3549+%29+%2F+%28+-32+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1.0736+ ALIGN=MIDDLE  ALT=\"+t+=+1.0736+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You hit the water in 1.07 sec<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "The maximum height is when:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-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=+t%5Bmax%5D+=+-6%2F%282%2A%28-16%29+%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-6%2F%282%2A%28-16%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=+t%5Bmax%5D+=+3%2F16+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+3%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this back into equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+-16t%5E2+%2B+6t+%2B+12+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+-16t%5E2+%2B+6t+%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=+h%5Bmax%5D+=+-16%2A%283%2F16%29%5E2+%2B+6%2A%283%2F16%29+%2B+12+ ALIGN=MIDDLE  ALT=\"+h%5Bmax%5D+=+-16%2A%283%2F16%29%5E2+%2B+6%2A%283%2F16%29+%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=+h%5Bmax%5D+=+-.5625+%2B+1.125+%2B+12+ ALIGN=MIDDLE  ALT=\"+h%5Bmax%5D+=+-.5625+%2B+1.125+%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=+h%5Bmax%5D+=+12.5625+ ALIGN=MIDDLE  ALT=\"+h%5Bmax%5D+=+12.5625+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum height above the pool is 12.56 ft<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-2%2C+2%2C+-3%2C+16%2C+-16x%5E2+%2B+6x+%2B+12+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-2%2C+2%2C+-3%2C+16%2C+-16x%5E2+%2B+6x+%2B+12+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );