The table shows the results of (p ^ q) and results of (p ^ r) for all possible outcomes. We have to tell which of the outcomes of union of both these events will always be true.
(p ^ q) V (p ^ r) means Union of (p ^ q) and (p ^ r). The property of Union of two sets/events is that it will be true if either one of the event or both the events are true i.e. there must be atleast one True(T) to make the Union of two sets to be True.
So, (p ^ q) V (p ^ r) will be TRUE, if either one of (p ^ q) and (p ^ r) or both are true. From the given table we can see that only the outcomes A, B and C will result is TRUE. The rest of the outcomes will all result in FALSE.
Therefore, the answer to this question is option 2nd
It's a nonlinear because the x and y values are not increasing at the same ratio each time. This would be an example of a linear function:
x l 1 2 3 4 5 6
y l 3 6 9 12 15 18
As x increases by 1, y increases by a multiple of 3
Answer:
x = -0.3
Step-by-step explanation:
You can substitute y in 2x – 4y = 3, to solve for x.
How to solve for x:
2x - 4(3x) = 3 (Simplify)
2x - 12x = 3 (Simplify)
-10x = 3 (Divide by -10)
x = -0.3
<u><em>Answer:</em></u>
a. The point (4,9) appears in both tables
<u><em>Explanation:</em></u>
<u>Note:</u> This question can be solved without the need of the tables
<u>A solution of a system of equations</u> is defined as a point (or set of points) that satisfy both equations
<u>This means that,</u> this point should belong to all the equations in the system
Now, a table is used to show a set of points that belong to a certain line
This means that, all vales in the table belong to the line they represent
<u>Since the point (4,9) appears in both tables</u>, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines
Hope this helps :)
7.085x10-14 would simplify to 70.85-14, which equals 56.85
