document.write( "Question 303177: if y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4, what is the value of x when y=6 and z=2 \n" ); document.write( "

Algebra.Com's Answer #217377 by london maths tutor(243) $\"\"$ $\"About$

You can put this solution on YOUR website!
if y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4, what is the value of x when y=6 and z=2 \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+kx%2F%28z%5E2%29\"$ where k is constant\r
\n" ); document.write( "\n" ); document.write( "when y = 3 , x = 2 ,z =4 \r
\n" ); document.write( "\n" ); document.write( " $\"3=2k%2F%284%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3%2A16+=+2k+\"$
\n" ); document.write( " $\"+k+=+48%2F2+\"$
\n" ); document.write( " $\"+k+=+24+\"$ \r
\n" ); document.write( "\n" ); document.write( "Therefore, \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+24x%2F%28z%5E2%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "when y=6 ,z= 2 \r
\n" ); document.write( "\n" ); document.write( " $\"+6+=24x%2F%282%5E2%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+24x+=+6%2A%284%29\"$ \r
\n" ); document.write( "\n" ); document.write( "x = 24/24
\n" ); document.write( "x = 1\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );