Answer with Step-by-step explanation:
We are given that A, B and C are subsets of universal set U.
We have to prove that
Proof:
Let x
Then 
and 
When 
then 
but 
Therefore, 
but 
Hence, it is true.
Conversely , Let 
but 
Then 
and
When 
then
Therefor,
Hence, the statement is true.
To answer this question here is what you would do. I can't give you the exact answer because there is not a line plot attached.
Count the number of X's above the number 5 1/2 feet. Put this number over the total number of X's you count (including the 5 1/2s).
This is your answer when you write these 2 pieces of information in fraction form.
Answer:
D) The graph does not represent a one-to-one function because the y-values between 0 to 2 are paired with multiple x-values.
Step-by-step explanation:
Let's find the ordered pairs.
(-4, 4), (-3, 2), (-2, 0), (-1, 0.5), (0, 1), (1, 1.5), (2, 2), (3, 0)
The graph passed through above points.
In the x-coordinates -3, 2 gives the same output. Therefore, the given function is not one-to-one.
Therefore, the answer D)
The graph does not represent a one-to-one function because the y-values between 0 to 2 are paired with multiple x-values.
Hope you will understand the concept.
Thank you.
Answer:
3. a line perpendicular to a given line through a point not on the line
Step-by-step explanation:
The point not on the line suggests that choices 1 and 3 are possibilities. The fact that the dotted line is not parallel (and is perpendicular) to the solid line suggests that choice 3 is applicable and choice 1 is not.
The short arcs are equidistant from the end points of the chord that intercepts the larger arc. Hence the line through the crossing point of the short arcs and the point on the other side of the line will be the perpendicular bisector of the chord, and will be perpendicular to the solid line. Creating that perpendicular is likely the purpose of the construction.
You start with 24, there are 8 added, there are 12 taken away, then 9 are taken away. The equation looks like:
24 + 8 - 12 - 9 = <u>11</u>
