You flip three coins and want to explore the probabilities of certain events
1 answer:
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Given:
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
On comparing these equations with (i), we get
Angle between two lines whose slopes are is
Putting and
, we get
Now,
and
and
and
, so it is an obtuse angle and
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
The domain of a function is the set of values of x in which the function can be calculated.
The range of a function is the associated values of the function respect to the domain.
You have the following function:
In order to determine the domain and range of the previous function, you consider that the given function is available for any value of x. Then, you have:
dom y: -∞ ≤ x ≤ ∞ : (-∞,∞)
The range of the function can be determine by noticing, on the graph, that the maximum value of the function is y=3 and also you can notice that there is no a limit for negatives values of the function. Then, you have:
ran y: -∞ ≤ y ≤ 3 : (-∞,3]