Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.
Then, the perimeter is given by
4
x
+
3
y
=
160
.
4
x
=
160
−
3
y
x
=
40
−
3
4
y
The area of a rectangle is given by
A
=
L
×
W
, however here we have two rectangles put together, so the total area will be given by
A
=
2
×
L
×
W
.
A
=
2
(
40
−
3
4
y
)
y
A
=
80
y
−
3
2
y
2
Now, let's differentiate this function, with respect to y, to find any critical points on the graph.
A
'
(
y
)
=
80
−
3
y
Setting to 0:
0
=
80
−
3
y
−
80
=
−
3
y
80
3
=
y
x
=
40
−
3
4
×
80
3
x
=
40
−
20
x
=
20
Hence, the dimensions that will give the maximum area are
20
by
26
2
3
feet.
A graphical check of the initial function shows that the vertex is at
(
26
2
3
,
1066
2
3
)
, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.
Hopefully this helps!
Step-by-step explanation: hope this helps
Please provide an image for us
Answer:
82%
Step-by-step explanation:
0.82 x100% = 82%
Answer:
Im not sure what type of solution you are looking for. You should be more specific. Though I will still give you some helpful solutions and you use the one you need.
Step-by-step explanation:
Factored: y=168x+67y-49
Solved for Y; -28x/11 + 49/66
Solved for X: -11y/28 + 7/24
X and Y intercepts:
X=( 7/24, 0 )
Y= ( 0, 49/66 )
I hope these answers help. Next time be more specific to what your looking for and make sure your equation is written correctly.
A system of equations that is infinite solutions just looks like one line because they are laying on top of one another
