SOLUTION: 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!!!! Page 129 #32

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Question 125407This question is from textbook college algebra third edition
: 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!!!!
Page 129
#32
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.
A. Express the total area of the two corrals as a function of x.
B. Find the domain of the function.
Please help ASAP. thank you so much.
This question is from textbook college algebra third edition

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