document.write( "Question 550504: The daily profit of a bicycle store can be modeled by f(x)=x^3-5x^2+2x+2 where x is the number of bicycles sold. Let g(x)=f(x-4). Find the rule for g, and explain the meaning of the transformation in terms of daily profit.\r
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document.write( "Choose one:
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document.write( "a. g(x)=x^3-5x^2+2x+6. The shop makes the same profit after selling 4 fewer bicycles.
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document.write( "b. g(x)=x^3+7x^2+10x-6. The shop makes the same profit after selling 4 more bicycles.
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document.write( "c. g(x)=x^3+7x^2+10x-6. The shop makes the same profit after selling 4 fewer bicycles
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document.write( "d. g(x)=x^3-5x^2+2x+6. The shop makes the same profit after selling 4 more bicycles. \n" );
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Algebra.Com's Answer #358824 by stanbon(75887) ![]() You can put this solution on YOUR website! The daily profit of a bicycle store can be modeled by f(x)=x^3-5x^2+2x+2 where x is the number of bicycles sold. Let g(x)=f(x-4). Find the rule for g, and explain the meaning of the transformation in terms of daily profit. \n" ); document.write( "Choose one: \n" ); document.write( "g(x) = f(x-4) = (x-4)^3 - 5(x-4)^2 + 2(x-4) + 2 \n" ); document.write( "----- \n" ); document.write( "g(x) = x^3 + 3x^2(-4) + 3x(-4)^2 + (-4)^3 - 5[x^2-8x+16] + 2x-8 + 2 \n" ); document.write( "------ \n" ); document.write( "= x^3 -12x^2 +48x - 64 - 5x^2 + 40x - 80 + 2x - 6 \n" ); document.write( "------ \n" ); document.write( "= x^3 -17x^2 + 90x - 150 \n" ); document.write( "------ \n" ); document.write( "g(x) is the profit when x-4 bikes are sold. \n" ); document.write( "Shop profit when 4 fewer bikes are sold. \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================= \n" ); document.write( "a.. g(x)=x^3-5x^2+2x+6. The shop makes the same profit after selling 4 fewer bicycles. \n" ); document.write( "b. g(x)=x^3+7x^2+10x-6. The shop makes the same profit after selling 4 more bicycles. \n" ); document.write( "c. g(x)=x^3+7x^2+10x-6. The shop makes the same profit after selling 4 fewer bicycles \n" ); document.write( "d. g(x)=x^3-5x^2+2x+6. The shop makes the same profit after selling 4 more bicycles. \n" ); document.write( " \n" ); document.write( " |