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Answers
Answer:
let
y
=
1
x
+
4
the denominator of y cannot be zero as this would make
y undefined. Equating the denominator to zero and
solving gives the value that x cannot be
solve
x
+
4
=
0
⇒
x
=
−
4
←
excluded value
domain
x
∈
R
,
x
≠
−
4
(
−
∞
,
−
4
)
∪
(
−
4
,
∞
)
←
in interval notation
to find the range, rearrange making x the subject
y
(
x
+
4
)
=
1
x
y
+
4
y
=
1
x
y
=
1
−
4
y
x
=
1
−
4
y
y
y
=
0
←
excluded value
range
y
∈
R
,
y
≠
0
(
−
∞
,
0
)
∪
(
0
,
∞
)
graph{1/(x+4) [-10, 10, -5, 5]}
Step-by-step explanation:
1)
The vertical cross section of a cylinder is a rectangle
2)
Given that
The side of a cube = X cm
We know that
The length of a diagonal of a cube whose side is a units is √3× a units
The length of the diagonal = (√3) X cm
3)
The sum of all elementary events in a random experiment is 1
4)
Given that
Number of coins are tossed = 8
We know that
If n coins are tossed once then the total number of possible outcomes = 2^n
The total number of all possible outcomes when 8 coins are tossed = 2⁸ = 256
HHHH HHHH
HHHH HHHT
HHHH HHTH
HHHH HHTT
HHHH HTHH
HHHH HTHT
HHHH HTTH
HHHH HTTT
HHHH THHH
HHHH THHT
HHHH THTH
HHHH THTT
HHHH TTHH
:
.
:
.
TTTT TTTT
There are 256 outcomes.
