document.write( "Question 195076: The weekly profit of a company depends on the number of employees working during the week. It is represented by the formula P = x2 + x – 10 where x is the average number of employees working on each day of the week. For what values of ‘x’ is the profit positive? \n" ); document.write( "

Algebra.Com's Answer #146344 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

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\n" ); document.write( "Solve by Quadratic:
\n" ); document.write( " $\"x%5E2%2Bx-10=0\"$
\n" ); document.write( "Solving discriminant: $\"b%5E2-4ac=1%5E2-4%2A1%2A-10=1%2B40=41\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"x=%28-1%2B-sqrt%2841%29%29%2F%282%2A1%29=%28-1%2B-6.4%29%2F2\"$
\n" ); document.write( " $\"x=%28-1%2B6.4%29%2F2=5.4%2F2=red%282.7%29\"$
\n" ); document.write( " $\"x=%28-1-6.4%29%2F2=-7.4%2F2=-3.7\"$ , disregard\r
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\n" ); document.write( "\n" ); document.write( "Since, x=2.7, rounding off equals x=3 employees
\n" ); document.write( "(should be greater than 2.7 anyway)\r
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\n" ); document.write( "\n" ); document.write( "Check by susbtituting:
\n" ); document.write( " $\"P=3%5E3%2B3-10\"$
\n" ); document.write( " $\"P=9-7\"$
\n" ); document.write( " $\"red%28P=2%29\"$ , \"+\", oks!\r
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\n" ); document.write( "\n" ); document.write( "If we use x=2.7, then P=0.
\n" ); document.write( "If you see the graph,
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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