We have been given a system of equations
and
. We are asked to find the solution of our given system of equations.
To solve our system of equations, we will equate both equations as:









Upon substituting
in equation
, we will get:



Therefore, the solution of our given system of equations would be
and option A is the correct choice.
Answer:
2^n
Step-by-step explanation:
So whenever you flip a coin, you can see it as 2 nodes branching off of each existing node. so for example when you flip a coin once you're going to have 2 sequences initially H and T, now when you flip a coin again for each of those 2 sequences 2 are going to branch off of that, making the total sequences 4, and the next flip 2 sequences are going to branch off each of the 4 sequences and so on. this can generally be described as: 2^n
I attached an image describing this a bit better but the bottom line is that for each 'end node'/sequence you're going to have 2 branch off of it, thus for each coin flip the number of sequences multiplies by 2
Ok so whit the data that we got we can proceed like this:
[(-2, 7), (1, 0)]
d = 2/3
Now lets find the difference between x and y terms.
The difference of -2 and 1 is 3,
The difference of 7 and 0 is 7.
x = 3
y = 7
Now Multiply it by two thirds.
2/3 * 3 = 2
2/3 * 7 = 4.7
So the answer is the second option. Hope this helps
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