The Johnson and Smith families want to determine the difference in utility prices between March, when it's warmer, and January. Matrix J is for January. The rows represent electric, natural gas, and cable/satellite. The columns are the Johnson and Smith Family. Matrix M is for March. Write a matrix to show the difference in prices from January to March (J-M)? What do you think it means when you get a negative number in your resulting matrix?

  negative represents a decrease

Step-by-step explanation:

looking at the same place on both matrix, find the difference between the numbers

97 to 89- goes down 8-- so -8

86 to 86 is no change 0

185 to 197 is an increase of 12

210 to 187 is a decrease of 23

39 to 43 is an increase of 4

67 to 73 is in increase of 7

the negative represents a decrease

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: