Two scientists are running experiments testing the effects of a vaccine on different control groups. the results are shown in the graph using the functions f(x) and g(x):
graph of two functions in quadrant 1, f of x equals two tenths times two to the x power, and g of x equals x plus two
which statement best describes the graph of f(x) and g(x)?
a. the graph of g(x) will eventually exceed the graph of f(x).
b. the graph of f(x) will eventually exceed the graph of g(x).
c. the graphs will both have their y-intercept equal to 5.
d. the graphs will both have their y-intercept equal to 2.

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:

x = 3 ± √(5+y)