The correct graph is graph 4.
You can find this by looking for recognizable points. This is the easiest way to find composite graphs. In the graph f(x) =|x − 5| + |x − 4| both 5 and 4 yield the answer of 1. You can see that in the examples below:
<span>f(x) =|x − 5| + |x − 4|
</span><span>f(5) =|5 − 5| + |5 − 4|
</span><span>f(5) =|0| + |1|
f(5) = 0 + 1
f(5) = 1
</span><span>f(x) =|x − 5| + |x − 4|
</span><span>f(4) =|4 − 5| + |4 − 4|
</span><span>f(4) =|-1| + |0|
f(4) = 1 + 0
f(4) = 1
Now we can look for graphs that have those two reference points. The 4th graph is the only one that has those. </span>
Let the running time for movie b = x minutes
Running time for movie a = (x + 39) minutes
3x - (39 + x ) = 47 minutes
3x - x = 47 + 39 minutes
2x = 86 minutes, x = 43 minutes
So movie b runs 43 minutes
Movie a runs 43 + 39 = 82 minutes
The probability of winning when betting on two lines that touch each other on the table is 6/38
<h3>How to determine the probability?</h3>
The sample size is given as:
n = 38
The numbers on the range 1-2-3-4-5-6 is:
Range = 6
So, the probability is calculated as:
P = Range/n
This gives
P = 6/38
Hence, the probability of winning is 6/38
Read more about probability at:
brainly.com/question/251701
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<span>A system of linear equation comprises two or more linear equations.</span>
