document.write( "Question 151227: 1. Find the variation constant and an equation of variation where y varies directly as x and y=12 when x=6.\r
\n" ); document.write( "\n" ); document.write( "2. Divide... (35b^3+18b^2+37b+41)/(5b+4)\r
\n" ); document.write( "\n" ); document.write( "3. Solve for x... 4x(x-1)-5x(x)=3\r
\n" ); document.write( "\n" ); document.write( "4. A 15 in. TV set also has a width of 12 inches. What is it's height? \n" ); document.write( "
Algebra.Com's Answer #111118 by stanbon(75887)\"\" \"About 
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1. Find the variation constant and an equation of variation where y varies directly as x and y=12 when x=6.
\n" ); document.write( "Direct Variation: y = kx
\n" ); document.write( "12 = k*6
\n" ); document.write( "k = 2
\n" ); document.write( "-------------------------------------------------
\n" ); document.write( "2. Divide... (35b^3+18b^2+37b+41)/(5b+4)
\n" ); document.write( "Use synthetic division:
\n" ); document.write( "-4/5)....35....18....37....41
\n" ); document.write( "...........35....-10..45...|..5\r
\n" ); document.write( "\n" ); document.write( "Quotient: 35x^2 -10x + 45
\n" ); document.write( "Remainder: -5
\n" ); document.write( "---------------------------------
\n" ); document.write( "3. Solve for x... 4x(x-1)-5x(x)=3
\n" ); document.write( "-x^2 -4x -3 = 0
\n" ); document.write( "x^2 + 4x + 3 = 0
\n" ); document.write( "(x+3)(x+1) = 0
\n" ); document.write( "x = -3 or x = -1
\n" ); document.write( "-------------------------------
\n" ); document.write( "4. A 15 in. TV set also has a width of 12 inches. What is it's height?
\n" ); document.write( "15 \" is the diagonal
\n" ); document.write( "H^2 + 12^2 = 15^2
\n" ); document.write( "H^2 = 225 -144 = 81
\n" ); document.write( "Height = 9 inches
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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