Given:
First term of an arithmetic sequence = 5
Second term = 3
To find:
The explicit formula for the given arithmetic sequence.
Solution:
We have,
First term: 
Second term: 
Common difference is
Now, the explicit formula for an arithmetic sequence is
where, a is first term and d is common difference.
Putting a=5 and d=-2, we get
It can also be written as
Here, n is an integer greater than or equal to 1.
Domain is the set of input values.
Therefore, the explicit equation is or and domain is all interest greater than or equal to 1.
Answer:
y = 3x + 13
Step-by-step explanation:
Here, we want to solve for y
To solve for y, we simply are going to make y the subject of the formula
We have this as;
y - 3x = 13
y = 13 + 3x
Let x be Juilo's normal hourly rate.
so for the 35 hr week we have:-
30x + 5*1.4x = 436.60
37x = 436.60
x = 436.60 / 37 = $11.80
His normal hourly rate = $11.80
So for a 30 hr week he will earn 11.80 * 30 = $354
So the amount $436.60 is a reasonable figure for a 35 hr week.
Answer:
D)
Step-by-step explanation:
y = 12x.
A) x=8, so that y = 12(8) = 96. It's on the line
B) x = 10, so that y = 12(10) = 120. It's on the line
C) x = 15, so that y = 15(12) = 180. It's on the line
D) x = 18, so that y = 18(12) = 216, not equal to 206. So, the point is not on the line.
