Solve for x. 3x−82=x−6

20 points

3x-82 = x-6

subtract 1 x from each side

2x -82 = -6

add 82 to each side

2x = 76

divide both sides by 2

x = 76/2 =38

x = 38

Check:

3(38)-82 = 38-6

3*38 = 114, 114-82 =32 and 38-6 = 32 32 = 32 TRUE

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.