Answer:
32. ∛((x-7)/4) = f^(-1)(x)
33. -10x - 9
Step-by-step explanation:
32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.
x = 4f(x)³ + 7
subtract 7 from both sides
x -7 = 4f(x)³
divide both sides by 4
(x-7)/4 = f(x)³
cube root both sides
∛((x-7)/4) = f(x)
make f(x) f^(-1)(x) because this is now the inverse
∛((x-7)/4) = f^(-1)(x)
the second answer is correct
33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in
2(-5x-7) + 5
expand
-10x - 14 + 5
add
-10x - 9
the second answer is correct
Since each edge's length is x, each face's are would be
And cubes have 6 faces. multiply 6 by
, the formula is :
Step-by-step explanation:
First, we consider the calculation towards finding the total number of passengers who had booked the train in Florence. The main question to ask in answering this problem is
This statement can be phrase mathematically using the method of ratio and proportion as shown below
,
in which the variable 
is the total number of passengers who booked the train from Florence.
Now, rewriting the above ratio into the form of fractions, yields
Given that a quarter out of all reservations is from Florence, then using the same method as before to evaluate the number of passengers that had booked the train (from both Bologna and Florence).
,
where the variable 
denotes the total number of bookings.
Therefore, the total number of passengers that had booked the train is 200.
Now, it is stated that all passengers who booked had boarded the train from Bologna which is 150 passengers (three-quarters of total bookings). Then, 36 passengers from earlier got off in Florence, while 20 passengers boarded.
Number of passengers left when arriving Rome = 150 - 36 + 20
= 134 passengers
Answer: 2560000
Step-by-step explanation:
Given, A worker needs to create a 4-character password.
Worker can use :
Alphabets, numbers and 4 special characters
Total alphabets = 26
Total digits = 10
So, total characters he can use = 26(alphabets) + 10 (digits) +4 (special characters)
= 26+10+4 = 40
Since, there is no pattern or condition is provided to choose them.
So, the total possible outcomes to create a 4-character password. = 
Hence, the total possible outcomes = 2560000
Answer:
Chandler
Step-by-step explanation:
(12 + 3 * 6) -5
( 12 + 18) -5
30 -5
25
