document.write( "Question 203171: Could you help me with this problem. I don't understand what they are asking me to do. The monthly profit P (in dollars) that Jim makes on the sale of x mobile homes is determined by the formula P=x^2+5x-50. Find the values of x for which Jim makes a profit. \n" ); document.write( "
Algebra.Com's Answer #153290 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! e monthly profit P (in dollars) that Jim makes on the sale of x mobile homes is determined by the formula P=x^2+5x-50. Find the values of x for which Jim makes a profit. \n" ); document.write( ": \n" ); document.write( "A profit is made when P > 0 (positive) \n" ); document.write( ": \n" ); document.write( "Solve the equation: \n" ); document.write( "x^2 + 5x - 50 = 0 \n" ); document.write( "Factor this to \n" ); document.write( "(x+10)(x-5) = 0 \n" ); document.write( "Two solutions: \n" ); document.write( "x = 5 \n" ); document.write( "We can say when x > 5, he makes a profit \n" ); document.write( "and \n" ); document.write( "x = -10 \n" ); document.write( "We can say when x < -10 he makes a profit \n" ); document.write( ": \n" ); document.write( "See if that is true; test it for x=6 \n" ); document.write( "P = 6^2 + 5(6) - 50 \n" ); document.write( "P = 36 + 30 - 50 \n" ); document.write( "P = +16 \n" ); document.write( ": \n" ); document.write( "If x = -12 \n" ); document.write( "P = -12^2 +5(-12) - 50 \n" ); document.write( "P = 144 - 60 - 50 \n" ); document.write( "P = +34 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "A graph illustrates this; P is on the y axis \n" ); document.write( " \n" ); document.write( "Note the value of P is negative between -10 and + 5 \n" ); document.write( " |