Answer:
The frequency of f(x) is two times the frequency of the parent function.
Step-by-step explanation:
We can say that the number that is beside the x is equal to
, where f is the frequency.
Then, for the parent function, we get:

or solving for
:

At the same way, for f(x), we get:

But
is equal to
, so we can write the last equation as:

It means that the frequency of f(x) is two times the frequency of the parent function.
<span>The answer is 25. The pattern is -9, +13, +6, -9, +13, +6, then -9 again.</span>
Answer:
0.4 = 40% probability that the second household selected will have a traditional landline telephone
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
We have that:
125,000 households
50,000 have traditional landlines telephones.
The first household selected does not have a traditional landline telephone.
Now we have 125000 - 1 = 124,999 households, and 50,000 have traditional landlines telephones.
What is the probability that the second household selected will have a traditional landline telephone

0.4 = 40% probability that the second household selected will have a traditional landline telephone
Suppose the number of bacteria are increasing exponentially, We can model the number of bacteria at a given time t, using the formula:
f(t)=ae(tk)
where, k=constant of proportionally and a=initial number;
thus;
f(t)=2000e(0.005t)
Therefore the population after 12 hours will be:
f(12)=2000e^(0.005*12)
f(12)=2,123.67=2,123 bacteria