The radioactive isotope 14C has a half-life of approximately 5715 years. A piece of ancient charcoal contains only 75% as much o
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Answer:
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if and
vary inversely, their product will be the same for all values of
and
.
Let and
as given in the problem. Substitute values:
Hence, the maintained product is .
Thus, we have the following equation:
Substitute to find the value of
when
:
Answer:
Step-by-step explanation:
<u>Composite Function</u>
Given f(x) and g(x) as real functions, the composite function is defined as:
It can be found by substituting g into f.
We are given the functions:
f(x) = -x + 3
g(x) = -x -1
Find
Removing parentheses:
Simplifying: