Answer:
83 points
Step-by-step explanation:
-The formula for average is given as:
Let a be his 5th score and (a+4) of the 6th
#We subtract the sum of the first 4 tests from the 6, to get the sum of the 5th and 6th tests:
#We substitute for the 5th and 6th to solve a:
Hence, Karl score 83 points in his 6th test.
The graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
<h3>How does the graph of g(x) compare to the one of f(x)?</h3>
Here we have:
You can notice that if we take f(x), and we shift it 2 units to the right, we have:
g(x) = f(x - 2)
Then if we apply a shift upwards of 6 units, then we have:
g(x) = f(x - 2) + 3
Replacing f(x) by the cubic parent function, we have:
So we conclude that the graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
If you want to learn more about translations:
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