Answer:
The sequence is a function
Step-by-step explanation:
Given
Sequence: 
; 
Required
Is the sequence a function
To determine if the sequence is a function or not, we start by calculating its range from the domain:
When n = 0;
When n = 1: 
When n = 2; 
When n = 3; 
This implies that:
The domain (n) and the range (An) can be represented as:
![\left[\begin{array}{c}n&-&0&1&2&3\\-&-&-&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dn%26-%260%261%262%263%5C%5C-%26-%26-%26%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{c}A_n&-&100&175&250&325\\-&-&-&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7DA_n%26-%26100%26175%26250%26325%5C%5C-%26-%26-%26%5Cend%7Barray%7D%5Cright%5D)
<em>The above shows that the sequence is a one to one relation and a one to one relation is always a function.</em>
Answer:
Both A and B
Step-by-step explanation:
A set of ordered pairs is not a function if there is a repeating output (Y value.)
Y values of A= 5, 2, -2, -5.
Y values of B= 2, -2, 4, -3.
There are no repeating outputs.
Answer:
He will read 92 pages in an hour going by the current rate at which he reads
Step-by-step explanation:
The complete question is as follows;
Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour
We proceed as follows;
If he reads 1/5 of 115 in 1/4 hour
1/5 of 115 pages refer to 1/5 * 115 = 23 pages
This means that he reads 23 pages in quarter of an hour
So in an hours the number of pages he will read will be 23 * 4 = 92 pages
Answer:
y = x - 40
Step-by-step explanation:
Points on the graph: (0, -40) and (60,20)
Slope:
m=(y2-y1)/(x2-x1)
m=(20+40)/(60-0)
m=60/60
m = 1
Slope-Intercept
y - y1 = m(x - x1)
y + 40 = 1(x -0)
y + 40 = x
y = x - 40
Answer:
<h2>70 ft</h2>
Step-by-step explanation:
120 below we can use a model to figure this out.
sea level is 0
the submarine <u>goes 120 down</u>, so its -120
it <u>goes up by 50</u>, so now its <em>70</em>
no other obstacles, 70 or A is your answer.
