document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288831>Question 288831</A>: <I><SPAN STYLE=\"word-break: break-all;\">  N(t)=-3t^3+23t^2+8t<BR>\n" );
document.write( "a)Rewrite the formula by factoring the right-hand side completely.<BR>\n" );
document.write( "b)Use the factored version of the formula to find N(3).<BR>\n" );
document.write( "c)Use the accompanying graph to estimate the time at which the workers are most efficient.<BR>\n" );
document.write( "d)Use the accompanying graph to estimate the maximum number of components assembled per hour during an 8-hour shift. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209298 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=209298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> N(t)=-3t^3+23t^2+8t<BR>\n" );
document.write( "a)Rewrite the formula by factoring the right-hand side completely.<BR>\n" );
document.write( "N(t) = -t(3t^2 -23t -8)<BR>\n" );
document.write( "N(t) = -t(3t^2-24t + t-8)<BR>\n" );
document.write( "N(t) = -t(3t(t-8) + (t-8))<BR>\n" );
document.write( "N(t) = -t(t-8)(3t+1)<BR>\n" );
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document.write( "b)Use the factored version of the formula to find N(3)<BR>\n" );
document.write( "N(3) = -3(-5)(10) = 150<BR>\n" );
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document.write( "c)Use the accompanying graph to estimate the time at <BR>\n" );
document.write( "which the workers are most efficient.<BR>\n" );
document.write( "Graph not shown<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "d)Use the accompanying graph to estimate the maximum number of components assembled per hour during an 8-hour shift.<BR>\n" );
document.write( "Graph not shown<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );