What is the 52nd term of the sequence (-38,-45,-52,-

- 395

Step-by-step explanation: The sequence is in form of Arithmetic sequence , if you check properly, the difference between the 2nd number and the 1st number is the same as the difference between the 3 rd and the 2nd ...

This difference is called common difference and it's denote with d.

From the sequence given d = - 7

the 52nd term = a + 51d , where " a" is the first term

                        = - 38 + 51 ( -7 )

                        = - 38 - 357

                        = - 395

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

you have to put the graph on here with the question

step-by-step explanation: