Answer and Step-by-step explanation: The graph is shown in the attachment.
a. ΔR on [1,2] is mathematically expressed as:
ΔR = R(2) - R(1)
which means difference of population of rabbits after 2 months and after 1 month.
R(2) = 
![\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]](https://tex.z-dn.net/?f=%5CDelta%20R%20%3D%20100%5B%5Cfrac%7B4%7D%7B5%7D%20-%20%5Cfrac%7B2%7D%7B5%7D%20%5D)
40
Difference of rabbits between first and second months is 40.
b. R(0) = 100(
)
R(0) = 0
Initially, there no rabbits in the population.
c. R(10) = 
R(10) = 400
In 10 months, there will be 400 rabbits.
d. R(t) = 500
t = 12.5
In 12 and half months, population of rabbits will be 500.
The answer is: 
The inverse of a function 
is another function, 
, with the following property:
In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.
Think for example to a function that doubles the input, 
, and one that halves it: 
. Their composition is clearly the identity function 
, since you consider "twice the half of something", or "half the double of something".
In general, to invert a function 
, you have to solve the expression for 
, writing an expression like 
. If you manage to do so, then 
is the inverse of 
.
In your case, you have
Multiply both sides by 
to get
Square both sides to get
Finally, subtract 3 from both sides to get
Since the name of the variables doesn't really have a meaning, you can say that the inverse function is
As for the domain of the inverse function, remember what we said ad the beginning: if the original function goes from set A (domain) to set B (codomain), then the inverse function goes from set B (domain) to set A (codomain). This means that the inverse function is defined on an element in B if and only if that element belongs to the range of the original function, i.e. the set of the elements of the codomain 
such that there exists 
. So, we need the range of .
We know that the range of 
is 
. When you transform it to 
you simply translate the graph horizontally, so the range doesn't change. But when you multiply the function times 
you affect both extrema of the range, turning it into ![(-\infty,0]](https://tex.z-dn.net/?f=%20%28-%5Cinfty%2C0%5D%20)
, which you can simply write as 
Answer:
Probability is O %
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
You need to find the least common denominator (LCD) to all the denominators of the fractions present in the equation. These denominators are (writing them in their prime factor form to make our calculations easier):
Therefore, we need to include a factor of 3, and two factors of 2 (
) in our least common denominator, so this LCD will be a perfectly divided by all three given denominators, therefore eliminating all fractions in the equation.
Our LCD is = 
Answer: At most 9 attendees can be there.
Step-by-step explanation:
Given equation:<em> d = 8a</em> , where <em>a</em> represents the number of attendees, and the variable <em>d </em>represents the cost in dollars.
To find : the number of attendees, if Will budgets a total of $72 for his graduation picnic.
72=8a
⇒ 9 = a [divide both sides by 8]
∴ a= 9
Hence, at most 9 attendees can be there.
