document.write( "Question 88548: The number N of guests that arrive at a mall food court each hour can be approximated by N = -12x2 + 110x + 35, where x is the number of hours after 11:00 a.m. At what times, to the nearest minute, are 200 guests per hour arriving at the food court?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #64385 by checkley75(3666)\"\" \"About 
You can put this solution on YOUR website!
200=-12x^2+110x+35
\n" ); document.write( "-12x^2+110x+35-200=0
\n" ); document.write( "12x^2-110x+165=0
\n" ); document.write( "using the quadratic equation \"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" we get:
\n" ); document.write( "x=(110+-sqrt[110^2-4*12*165])/2*12
\n" ); document.write( "x=(110+-sqrt[12100-7920])/24
\n" ); document.write( "x=(110+-sqrt4180)/24
\n" ); document.write( "x=(110+-64.65)/24
\n" ); document.write( "x=(110+64.65)/24
\n" ); document.write( "x=174.65/24
\n" ); document.write( "x=7.28 hours or 7 hours & 17 minutes after 11:00 am. is one answer.
\n" ); document.write( "x=(110-64.65)/24
\n" ); document.write( "x=45.35/24
\n" ); document.write( "x=1.9 or 1 hour & 54 minutes after 11:00 am is the other answer.
\n" ); document.write( " \n" ); document.write( "
\n" );