document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970554>Question 970554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need help with this fast! \r<BR>\n" );
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document.write( "The variable z varies jointly with x and y and inversely with the square of t. Also, z=5 when x=2, y=-3, and t=1/2. Write a function such that f(y)=t when x=-12/(5z)^2 and z=2/5.\r<BR>\n" );
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document.write( "f(y)=________\r<BR>\n" );
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document.write( "      please explain and thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593172 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=593172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The variable z varies jointly with x and y and inversely with the square of t.<BR>\n" );
document.write( "z = k*x*y/t^2<BR>\n" );
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document.write( " Also, z=5 when x=2, y=-3, and t=1/2. <BR>\n" );
document.write( "Use these value to solve for \"k\"::<BR>\n" );
document.write( "5 = k*2*-3/(1/2)^2<BR>\n" );
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document.write( "5 = k*-6/4<BR>\n" );
document.write( "-6k = 20<BR>\n" );
document.write( "-k = 10/3<BR>\n" );
document.write( "k = 10/3<BR>\n" );
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document.write( "Equation::<BR>\n" );
document.write( "z = (10/3)*x*y/t^2<BR>\n" );
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document.write( "Write a function such that f(y)=t when x=-12/(5z)^2 and z=2/5.<BR>\n" );
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document.write( "(2/5) = (10/3)*(12/25z^2)*y/t^2<BR>\n" );
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document.write( "Solve for \"y\"::::<BR>\n" );
document.write( "y = (2/5)t^2/[(8/5z^2]<BR>\n" );
document.write( "y = (1/4)(t/z)^2<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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document.write( "f(y)=________<BR>\n" );
document.write( "======<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------------  </SPAN>\n" );
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