The one-to-one functions given as sets of points and their possible inverse functions are given as
h = { (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
g = { (1,3), (2,6), (3,9), (4,12), (5,15), (6,18)}
f = { (1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
i = { (1,1), (2,3), (3,5), (4,7), (5,9), (6,11)}
h⁻¹ = { (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
i⁻¹ = { (1,1), (3,2), (5,3), (7,4), (9,5), (11,6)}
g⁻¹ = {(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)}
f⁻¹ = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
The inverse function of a given function should have the coordinates reversed.
Therefore the matches between the given functions and their inverse functions are given in the table below.
function Inverse function
----------- ------------------------
h h⁻¹
g g⁻¹
f f⁻¹
i i⁻¹
Answer:
The given functions and their corresponding inverses are correct.
Answer:
<em>Daniel does have enough money to make this car payment</em>
Step-by-step explanation:
<u>Addition and Subtraction</u>
Daniel has an initial balance of $460.63 on this checking account.
He must pay $85.23 for groceries.
The new balance is $460.63 - $85.23 = $375.40
He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.
He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.
Daniel has to make his $264 car payment. The balance is $346.19, thus:
Daniel does have enough money to make this car payment
Answer:
16/35
Step-by-step explanation:
Add up all of your marbles. 16 + 8 + 11 = 35. 16/35.
Answer:
9 hours babysitting
3 hours landscaping
Step-by-step explanation:
Since Maya worked 3 times as many hours in babysitting than landscaping
so landscape hours is x and babysitting is 3x so
3(7)+11=
21+11=32
so each hours she works landscaping and for 3 hours of babysitting she earns $32
96/32=3 so
9 hours babysitting
3 hours landscaping
Answer: Our required probability is 27.5%.
Step-by-step explanation:
Since we have given that
Total number of large companies = 400
Number of them offer free health fitness centres to their employees on the company premise = 110
We need to find the probability that this company offers a free health fitness centre to its employees on the company premises.
Our required probability is given by
Hence, our required probability is 27.5%.
