How high did Abby climb above their original starting position?
2 answers:
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Answer:
Option B
Step-by-step explanation:
Equation of the graph,
f(x) = x²
If the graph is translated 5 units to the right,
g(x) = f(x - 5)
Therefore, g(x) = (x - 5)²
If the function 'g' is translated 3 units up,
h(x) = g(x) + 3
Therefore, h(x) = (x - 5)² + 3
If the function 'h' is vertically compressed by a factor of ,
Then the new function will be,
k(x) =
Option B will the correct option.
Answer:
a)
b)
So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014
Step-by-step explanation:
For this case we assume the following model:
Where t is the number of years after 2000/
Part a
For this case we want the population for 2000 and on this case the value of t=0 since we have 0 years after 2000. If we rpelace into the model we got:
So then the initial population at year 2000 is 23.1 million of people.
Part b
For this case we want to find the time t whn the population is 28.3 million.
So we need to solve this equation:
We can divide both sides by 23.1 and we got:
Now we can apply natural log on both sides and we got:
And then for t we got:
So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014