document.write( "Question 300695: If y varies inversely as the cube of x, write the particular equation, given that the graph contains (4,7). Find the x if y = 10 \n" ); document.write( "
Algebra.Com's Answer #215709 by stanbon(75887) ![]() You can put this solution on YOUR website! If y varies inversely as the cube of x \n" ); document.write( "--- \n" ); document.write( "y = k/x^3 \n" ); document.write( "--- \n" ); document.write( "write the particular equation, given that the graph contains (4,7). \n" ); document.write( "--- \n" ); document.write( "Solve for \"k\" given that y = 7 when x = 4 \n" ); document.write( "7 = k/4^3 \n" ); document.write( "k = 7*64 = 448 \n" ); document.write( "--- \n" ); document.write( "Equation for this Problem: \n" ); document.write( "y = 448/x^3 \n" ); document.write( "---- \n" ); document.write( "Find the x if y = 10 \n" ); document.write( "10 = 448/x^3 \n" ); document.write( "x^3 = 448/10 \n" ); document.write( "x = 3.5516 \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |