document.write( "Question 75618: Hello out there,I have some questions towards some difficult equations,can someone help me please,the first question is,A solution of the equation 4x=10-cy is (5,-2).What is the value of c?The next one is,Find g(9) given that g(x)=2x+3.The next is,Find h(4) given that h(x)=x/2minus7.And the last one is,Assume that y varies directly as x.Find y when x =54 if y= 1/4 when x=3/2.Thanks for whoever can help. \n" ); document.write( "
Algebra.Com's Answer #54283 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! first question is,A solution of the equation 4x=10-cy is (5,-2).What is the value of c? \n" ); document.write( "Let x=5; let y=-2 \n" ); document.write( "4*5 = 10 - c*-2 \n" ); document.write( "20 = 10 + 2c \n" ); document.write( "2c=10 \n" ); document.write( "c=5 \n" ); document.write( "-----------------\r \n" ); document.write( "\n" ); document.write( "The next one is,Find g(9) given that g(x)=2x+3.\r \n" ); document.write( "\n" ); document.write( "g(9)=2*9+3=21 \n" ); document.write( "============\r \n" ); document.write( "\n" ); document.write( "The next is,Find h(4) given that h(x)=x/2minus7. \n" ); document.write( "h(4)= 4/2 - 7 \n" ); document.write( "h(4)= 2-7 \n" ); document.write( "h(4)=-5 \n" ); document.write( "-------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And the last one is,Assume that y varies directly as x.Find y when x =54 if y= 1/4 when x=3/2. \n" ); document.write( "If y vaies directly as x, y=kx \n" ); document.write( "If y=1/4 when x= 3/2 then (1/4)=k(3/2) and k=(1/4)*(2/3)=1/6 \n" ); document.write( "So the proper equation is y= (1/6)x \n" ); document.write( "Now, find y when x=54: \n" ); document.write( "y=(1/6)54 \n" ); document.write( "y=9 \n" ); document.write( "========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |