The answers in C are inverses of each other.
In order to find the inverse of any equation, you simply switch the x and f(x) values and then solve for the new f(x). What it will result in is your new inverse function. If we do this for each of the problems above, only one will produce the second equation properly. See the work below for how to do it for C.
f(x) = 11x - 4 ---> Switch the x and f(x)
x = 11f(x) - 4 ----> Add 4 to both sides
x + 4 = 11f(x) ----> Divide both side by 11
= f(x) ----> Now put in the correct order
f(x) =
Since our inverse matches the g(x) function, this means that C is the correct answer.
Answer:
x>-7
Step-by-step explanation:
A
Answer:
The number is 20.
Step-by-step explanation:
To solve this, first take the words and turn into an equation.
3/5x + 8 = x
Now we can solve for x using the order of operations
3/5x + 8 = x
8 = 2/5x
20 = x
Answer:
l = -16/3 m = 80/3
Step-by-step explanation:
see attached for step by step
(a)
The sample space is a set whose elements are all the possible outcomes for the experiment. Since we will extract one of the months of the years, the sample space is the set composed by all the 12 months:
(b)
An event is a subset of the sample space. Events are often defined by their properties. In this example, the event E is the subset of the sample space defined as
So, we have
(c)
If all outcomes have equal probability, then the probability of an event is the ratio bewteen its cardinality, and the cardinality of the whole sample space:
In words, since there are three months beginning with J out of 12 months, we have a probability of 3 over 12 to pick a month starting with J, which simplifies to 1 over 4.
