Is 5(x - 3) = 5x + 15 the Distributive Property? Explain your answer with supporting equations.

Distributive Property is when you break down numbers inside of parentheses.

Here are some Examples:

2(x + 2) = 3x + 65

5(x + 7) = 4x + 29

Yes, 5(x - 3) = 5x + 15 is the Distributive Property.

Yes

Step-by-step explanation:

This is the Distributive Property because:

It shows parentheses. In the Distributive Property, you use parentheses to distribute number inside of them.

Like the equation 6(x - 4) = 6x + 16 for example.

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: