Answer:
Step-by-step explanation:
The first function is given as, 
.
Now, the value of this function increases i.e. value of f(x) increases as the x-value increases because 
.
Now, the second function is given as, 
.
This function can not be considered as a continuous function because 
.
Again, the third function is given as, 
.
This function can also not be considered as a continuous function because 
.
Finally, the fourth function is given to be, .
In this function, the value of f(x) continuously decreases as the value of x increases, because 
.
Therefore, this function represents exponential decay. (Answer)
Answer:
See explanation
Step-by-step explanation:
Powers of 10 is a very useful way of writing down large or small numbers.
Instead of having lots of zeros, you show how many powers of 10 will make that many zeros.
When you work with small numbers, you should use the negative powers of 10. Just remember for negative powers of 10, move the decimal point to the left. For example,
![0.36=3.6\cdot 10^{-1}\ [\text{Move the decimal point one place to the left}]\\ \\0.036=3.6\times 10^{-2}\ [\text{Move the decimal point two places to the left}]\\ \\0.0036=3.6\times 10^{-3}\ [\text{Move the decimal point three places to the left}]\\ \\...](https://tex.z-dn.net/?f=0.36%3D3.6%5Ccdot%2010%5E%7B-1%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20one%20place%20to%20the%20left%7D%5D%5C%5C%20%5C%5C0.036%3D3.6%5Ctimes%2010%5E%7B-2%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20two%20places%20to%20the%20left%7D%5D%5C%5C%20%5C%5C0.0036%3D3.6%5Ctimes%2010%5E%7B-3%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20three%20places%20to%20the%20left%7D%5D%5C%5C%20%5C%5C...)
When comparing small numbers, write these numbers in scientific notation (only one non-xero digit must be before point) and then
- if the powers of 10 are the same in compared numbers are the same, just compare the numbers which are multiplied by these powers of 10. For example,
because powers are the same (-6) and 
- if the powers are different, then the smaller is power, the smaller is number (number with the smaller negative power has more places after decimal point). For example,
because 
Answer:
d
Step-by-step explanation:
F(x) represents how many books in total and x represents the number of days
Let's first find the equation to find what the population went up to. X, will be the population of last year.
1.15x=76,894
Now, we need x by itself, so we need to divide both sides by 1.15.
76,894÷1.15≈66,864
There are decimals, but for this problem, hae .3478 of a person would not fit.
We can check our answer.
66,864×.15=10,029.6
10,029.6+66,864=76,893.6 (rounds up to 76,864)
So the population of the town last year was about 66,864 (66,864.3478) people.
