document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812461>Question 812461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of inmates N (measured in thousands) in federal and state prisons can be approximated by the equation N=-2.02x^2 + 77.89x + 743, where x is the number of years since 1990. In what year was the number of inmates expected to be 1,280,390? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489170 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=489170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -2.02x^2 + 77.89x + 743 = 1280390<BR>\n" );
document.write( "-2.02x^2 + 77.89x + 1279647 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=-2.02, b=77.89, and c=1279647<BR>\n" );
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document.write( "to solve the above equation using the quadratic formula, plug this:<BR>\n" );
document.write( "-2.02 77.89 1279647<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the roots (x-intercepts) of the above quadratic equation are:<BR>\n" );
document.write( "x = 815.433156<BR>\n" );
document.write( "x = -776.87375<BR>\n" );
document.write( "---<BR>\n" );
document.write( "In what year was the number of inmates expected to be 1,280,390?<BR>\n" );
document.write( "1990 + 815 = 2805<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "in the year 2805<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-1000%2C+1000%2C+-100000%2C+1400000%2C+-2.02x%5E2+%2B+77.89x+%2B+1279647%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );