You want to rent a television. Company A charges $40 per week plus a one-time fee of $25. Company B charges $35 per week plus a one-time fee of $45. After how many weeks are the total costs the same at both companies?

4 weeks

Step-by-step explanation:

Company A charges $40 per week and a one time fee of $25

Company B charges $35 per week and a one time fee of $45

Therefore the number of weeks required for both companies to arrive at the same cost can be calculated as follows

Company A = 45 + 35×4

= 45 + 140

= 185

Company B = 25 + 40×4

= 25 + 160

= 185

Hence it will cost both companies 4 weeks

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: