mckenna and lara work for their uncle eddie, who repairs skateboards and bicycles. uncle eddie is leaving for a vacation to the
2 answers:
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Answer:
A)
B)
C)
Step-by-step explanation:
We are given the function:
A)
Given that h(1) = 20, we want to find <em>k</em>.
h(1) = 20 means that <em>h</em>(x) = 20 when <em>x</em> = 1. Substitute:
Simplify:
Anything raised to zero (except for zero) is one. Therefore:
B)
Given that h(1) = 40, we want to find 2<em>k</em> + 1.
Likewise, this means that <em>h</em>(x) = 40 when <em>x</em> = 1. Substitute:
Simplify:
We can take the natural log of both sides:
By definition, ln(e) = 1. Hence:
Therefore:
C)
Given that h(1) = 10, we want to find <em>k</em> - 3.
Again, this meas that <em>h</em>(x) = 10 when <em>x</em> = 1. Substitute:
Simplfy:
Take the natural log of both sides:
Therefore:
Therefore: