<span>This must be your answer:
Expanded: 1/5 x 10x + 1/5 x -25 </span>
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
Answer:
The point-slope form of the line is:

Hence, option B is correct.
Step-by-step explanation:
We know the point-slope form of the line equation is
where
- m is the slope of the line
Given
The slope m = 4
From the graph, we can take the point (-3, -4)
So, in our case:
(x₁, y₁) = (-3, -4)
m = 4
now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation



Therefore, the point-slope form of the line is:

Hence, option B is correct.
- The graph of the line is also attached.
Answer:
160 visitors.
Step-by-step explanation:
Given:
An average of 145 people visited a 4-day exhibition on the first 3 days, <u>means here average people visited in 3 days is given 145.</u>
Average = 145
Number of people, n = 3
Another 205 people visited the exhibition on the fourth day.
To find:
What is the average number of visitors per day ?
Solution:
<u>First of all we will find total number of people visited in 3 days:-</u>
As we know:


Multiplying both sides by 3

Thus, we found that total number of people visited in 3 days is 435 and as 205 people visited in fourth day, then total number of people increased to
435 + 205 = 640
Now, sum of total observations( total number of people ) = 640
And number of observation ( number of days ) = 4
Now, we will calculate average number of visitors visit per day :-


Thus, the average number of visitors per day is 160 visitors.