<span>The perimeter of the area is the length of the fence.
Perimeter = x + y + y. This can be simplified to
Perimeter = x + 2y. You're told that the rancher has 100 m of fence, so the perimeter is 100 m:
100 = x + 2y (1)
The area of a rectangle is given by the formula A = length * width. The length in this case is x, and the width is y.
So, A = xy.
Solve equation (1) for y. Once you find the expression to which y equals, plug that for y into A = xy.
100 = x + 2y. Solve for y by subtracting both sides by x:
100 - x = 2y. Divide both sides by 2:
(100 - x)/2 = y
Substitute (100 - x)/2 for y into A = xy:
A = x[(100 - x)/2]
A = [x(100 - x)]/2
You can rewrite this as (100x - x²)/2 or 50x - (x²/2) or 50x - (1/2x²).
Hope that helped!</span>
6y = 24 -3x
divide both sides by 6.
y = (x)/2 +4
Answer: (a) Independent events , (b) 0.00075
Step-by-step explanation:
Since we have given that
Number of coins = 218
Number of rare Indian pennies = 6
Let Event A: When one of the 218 coins is randomly selected, it is one of the 6 Indian pennies.
Event B : When another one of the 218 coins is randomly selected (with replacement), it is also one of the 6 Indian pennies.
As we know that
(a) so, they are independent events as there is a condition of 'with replacement'.
(b) P(A and B) is given by
Hence, (a) Independent events , (b) 0.00075
Replace
f
(
x
)
f
(
x
)
with
y
y
.
y
=
2
x
3
−
4
x
2
−
22
x
+
44
y
=
2
x
3
-
4
x
2
-
22
x
+
44
To find the roots of the equation, replace
y
y
with
0
0
and solve.
0
=
2
x
3
−
4
x
2
−
22
x
+
44
0
=
2
x
3
-
4
x
2
-
22
x
+
44
Rewrite the equation as
2
x
3
−
4
x
2
−
22
x
+
44
=
0
2
x
3
-
4
x
2
-
22
x
+
44
=
0
.
2
x
3
−
4
x
2
−
22
x
+
44
=
0
2
x
3
-
4
x
2
-
22
x
+
44
=
0
Factor the left side of the equation.
Tap for more steps...
2
(
x
−
2
)
(
x
2
−
11
)
=
0
2
(
x
-
2
)
(
x
2
-
11
)
=
0
Divide both sides of the equation by
2
2
. Dividing
0
0
by any non-zero number is
0
0
.
(
x
−
2
)
(
x
2
−
11
)
=
0
(
x
-
2
)
(
x
2
-
11
)
=
0
Set
x
−
2
x
-
2
equal to
0
0
and solve for
x
x
.
Tap for more steps...
x
=
2
x
=
2
Set
x
2
−
11
x
2
-
11
equal to
0
0
and solve for
x
x
.
Tap for more steps...
x
=
√
11
,
−
√
11
x
=
11
,
-
11
The solution is the result of
x
−
2
=
0
x
-
2
=
0
and
x
2
−
11
=
0
x
2
-
11
=
0
.
x
=
2
,
√
11
,
−
√
11
105
or
140
explanaion: its one of the two i believe