Solve. 9(x+1)=4-2(9x+5)

-5/9

Step-by-step explanation:

9(x+1)=4-2(9x+5)

Distribute

9x+9=4-18x-10

Add 4 and -10

9x+9=-6-18x

Move -18 to the left side and change sign

9x+9+18x=-6

Move 9 over and change sign

9x+18x=-6-9

Combine like terms

27x=-15

Divide both sides by 27

X=-5/9

x = -5 / 9

Step-by-step explanation:

9(x + 1) = 4 - 2(9x + 5)

9x + 9 = 4 - 18x - 10

27x = -15

x = -15 / 27 or -5 / 9

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: