The graph of g(x) is a reflection and translation of f (x) = RootIndex 3 StartRoot x EndRoot.
1 answer:
Answer:
-∛(x-1)
Step-by-step explanation:
The point of inflection at (1, 0) means the graph has been translated 1 unit to the right. The point (2, -1) on the curve means it has been reflected across the x-axis.
Those conditions are met by ...
g(x) = -∛(x -1)
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Translation "h" units to the right is accomplished by replacing x with (x-h) in a function definition. Reflection across the x-axis is accomplished by negating the output of the function. That is, ∛x has been transformed to -∛(x-1).
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Answer:
You are expected to lose $0.05 (or win -$0.05)
Step-by-step explanation:
Since the roulette wheel has the numbers 1 through 36, 0, and 00, there are 38 possible outcomes.
In this bet, you are allowed to pick 3 out of the 38 numbers. Thus, your chances of winning (P(W)) and losing (P(L)) are:
The expected value of the bet is given by the sum of the product of each outcome pay by its probability. Winning the bet means winning $11 while losing the bet means losing $1. The expected value is:
Therefore, with a $1 bet, you are expected to lose roughly $0.05