4) If a = 28 and b = 4, then a/b = ______
1 answer:
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Answer:
The arrow diagram and the matrix representation for the relation is shown below.
Step-by-step explanation:
The given relation is
R={(1, 2), (3, 4), (2, 3), (3, 2), (2, 1), (3, 1), (4, 3)}
If a relation is defined as
Then the set of x values is domain and set of y values is range.
The domain of the function is
Domain={1, 2, 3, 4)
The range of the function is
Range={1, 2, 3, 4)
In arrow diagram, we have two sets first set represents the domain and second set represents the range. The arrow connecting the element represent the relation.
In matrix representation,
The arrow diagram and the matrix representation for the relation is shown below.
<h3>Answers:</h3>
Hypothesis = It rains
Conclusion = The game is canceled
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Explanation:
The general format for a conditional is "If P, then Q".
P is the hypothesis and Q is the conclusion. They are placeholders.
In this case
- P = It rains
- Q = The game is canceled
Some textbooks will write to indicate "if P, then Q"
The solutions appear to be {π/2, 2π/3, 4π/3}.
_____
Replacing sin(2x) with 2sin(x)cos(x), you have
2sin(x)cos(x) +sin(x) -2cos(x) -1 = 0
sin(x)(2cos(x) +1) -(2cos(x) +1) = 0 . . . . factor by grouping
(sin(x) -1)(2cos(x) +1) = 0
This has solutions
sin(x) = 1
x = π/2
and
2cos(x) = -1
cos(x) = -1/2
x = {2π/3, 4π/3}
_____
Replacing sin(2x) with 2sin(x)cos(x), you have
2sin(x)cos(x) +sin(x) -2cos(x) -1 = 0
sin(x)(2cos(x) +1) -(2cos(x) +1) = 0 . . . . factor by grouping
(sin(x) -1)(2cos(x) +1) = 0
This has solutions
sin(x) = 1
x = π/2
and
2cos(x) = -1
cos(x) = -1/2
x = {2π/3, 4π/3}