1. The largest of 2 integers is one more than
three times the smaller. If the suin of the two
integers is 37, find the larger integer.

The larger integer is 28.

I'm first going to call these 2 integers n and m, where n is the larger and m is the smaller. We can now write equations based on the information they gave us:

(equation 1) n + m = 37, which tells us that the sum of the integers is 37

(equation 2) n = 3m + 1, which tells us that the larger integer is one more than 3 times the smaller.

Now we can simultaneously solve these equations, and I'm going to do this by substituting in equation 2 into equation 1:

n + m = 37

(3m + 1) + m = 37

4m + 1 = 37

- 1

4m = 364

÷ 4

m = 9

Now that we know the smaller integer is 9, we can find the larger by using equation 1:

n + m = 37

n + 9 = 37

- 9

n = 28

I hope this helps!

answer: 12

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.