document.write( "Question 125407This question is from textbook college algebra third edition
\n" ); document.write( ": I have tried and tried to solve this and another problem. I am in college and on the Dean's list but for some reason I cannot solve this problem, PLEASE HELP!!!!\r
\n" ); document.write( "\n" ); document.write( "Page 129
\n" ); document.write( "#32
\n" ); document.write( "Corral Design. A rancher has 360 yd of fencing with which to enclose two adjacent rectangular corrals. A river forms one side of the corrals (lengthwise). Suppose the width of each corral is x yards.
\n" ); document.write( "A. Express the total area of the two corrals as a function of x.
\n" ); document.write( "B. Find the domain of the function.\r
\n" ); document.write( "\n" ); document.write( "Please help ASAP. thank you so much.
\n" ); document.write( "

Algebra.Com's Answer #91894 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
There are 3 sections of fence perpendicular to the river, each of
\n" ); document.write( "length \"x\". Since the total amount of fencing is 360 yds, I have
\n" ); document.write( "\"A+=+x%2A%28360+-+3x%29\"
\n" ); document.write( "\"x\" is the width and \"360+-+3x\" is the length of 2 coralls
\n" ); document.write( "\"A%28x%29+=+-3x%5E2+%2B+360x\" answer
\n" ); document.write( "The domain is all values of \"x\" that make \"A%28x%29+%3E=+0\"
\n" ); document.write( "\"-3x%5E2+%2B+360x+%3E=+0\"
\n" ); document.write( "\"3x%2A%28-x+%2B+120%29+%3E=+0\"
\n" ); document.write( "The expression equals \"0\" when either
\n" ); document.write( "\"x+=+0\"
\n" ); document.write( "OR
\n" ); document.write( "\"-x+%2B+120+=+0\"
\n" ); document.write( "\"x+=+120\"
\n" ); document.write( "There are 2 factors on the left side. The product is >0 when
\n" ); document.write( "either both are negative or both positive: (-)(-) or (+)(+)
\n" ); document.write( "\"x+%3C+0\" AND \"x+%3E+120\" (this is (-)(-))
\n" ); document.write( "OR
\n" ); document.write( "\"x%3E0\" AND \"x+%3C+120\"
\n" ); document.write( "The first condition is impossible, since it requires \"x\" to be
\n" ); document.write( "negative and positive at the same time, so the domain is
\n" ); document.write( "\"0+%3C=+x+%3C=+120\"
\n" ); document.write( "
\n" );