Use function notation to write a recursive formula to represent the sequence: 4, 8, 12, …
a. f(n) = f(n − 1) + 4
b. f(n) = f(n − 1) + 2
c. f(n) = f(n − 1) ⋅ 4
d. f(n) = f(n − 1) ⋅ 2

A.f(n) = f(n − 1) + 4

Step-by-step explanation:

4+4 = 8

8+4 = 12

We are adding 4 to the term  before it

f(n) = f(n-1) +4

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:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it