Step-by-step explanation:
A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6) ?
Since, A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100,we have to find the value of f(6).
Consider
f(n+1) = f(n)-8
Let n =1, we get
f(1+1) = f(2) = f(1) - 8 = 100-8 = 92
Let n =2, we get
f(2+1) = f(3) = f(2) - 8 = 92-8 = 84
Let n =3, we get
f(3+1) = f(4) = f(3)-8 = 84 - 8 = 76
Let n =4, we get
f(4+1) = f(5) = f(4)-8 = 76 - 8 = 68
Let n =5, we get
f(5+1) = f(6) = f(5) - 8 = 68-8 = 60
Therefore, the value of f(6) is 60.
Answer:
15. It is a function
16. It is a function
Mapping diagram is attached for reference.
Step-by-step explanation:
Mapping diagram is a set of two parallel columns.
The first column includes the 'domain'.
And the second column includes the 'range'.
A relation is a function,
if every domain (
) has only one range (
)
The given coordinates in the set form are in the form (
)
15. We observe that each '' is attached to only one ''
Therefore this relation is a function.
16. We observe that here also each '' is attached to only one ''
Therefore this relation is also a function.
The answer 2+(-3) well I just need to add more so don’t pay attention to this
Answer:
(1/9)
Step-by-step explanation:
Mary can choose from white,red,or pink construction paper to create a heart.
And she can use black, blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.
The probability that her valentine to her friend will be on either red or pink construction paper with black marker and gold glitter.
The probability that she uses red or pink construction paper = (2/3)
(since red or pink are two out of the total 3 sample spaces available for construction paper)
Probability that she uses black marker = (1/3)
(Black is one of the 3 sample spaces for markers)
Probability that she uses gold glitter = (1/2)
(Gold glitter is one of two sample spaces for glitters)
The required probability is then
(2/3) × (1/3) × (1/2) = (1/9)
Hope this Helps!!!
