What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Option (2)

Step-by-step explanation:

On a graph, factors or zeros of a polynomial function f(x) are represented by the x-intercepts (values for y = 0).

From the graph attached,

Quadratic function has two x-intercepts, x = 1 and x = 6.

Therefore, (x - 1) and (x - 5) are the zero factors of the given polynomial.

Option (2) will be the answer.

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

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: