Precalculus will mark brainliest
see attachment

Step-by-step explanation:

ƒ(x) = 3x³ + 39x² + 39x + 27

The Rational Zeros Theorem states that, if a polynomial has any rational roots, they will have the form p/q, where p is a factor of the constant term  and q is a factor of the leading coefficient.

In your function, the constant term is 27 and the leading coefficient is 3, so

Factors of 27 = ±1, ±3, ±9, ±27

 Factors of 3 = ±1, ±3

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: