Uh anyone? and please explain

a) The solution is x = -9.

b) The solution is x = 15.

Step-by-step explanation:

a) The given equation is 3(x+1)=2(x-3).

To solve this equation, distributive property is used.

The Distributive property :

It is done by multiplying the number outside the bracket with each terms present inside the bracket.

Now, the first step is to multiply 3 with each terms in (x+1) and multiply 2 with each terms in (x-3).

⇒ 3x+3 = 2x-6

Bring x terms on one side and constants on other side,

⇒ 3x-2x = -6-3

⇒ x = -9

b) The given equation is 2(5x-6)=3(3x+1).

To solve this equation,distributive property is used.

Now the first step is to multiply 2 with each terms of (5x-6) and 3 with each terms of (3x+1).

⇒ 10x-12 = 9x+3

Bring x terms on one side and constants on other side,

⇒ 10x-9x = 3+12

⇒ x = 15

she drove 134 miles

step-by-step explanation:

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: