Xf(x) = 2x + 5 1 7 2 9 3 11 4 13 5 15 6 17 linear functions grow by equal differences over equal intervals. in the table above, what column could be added to prove this relationship?

19

Step-by-step explanation:

Given is a funciton

The table shows x values as 1,2,3...6

f(x) values as 7,9,11...17

Since f(x) is linear there is a constant slope

Slope =2

This shows that for a unit change in x, there is a 2 increase in f(x)

By this property, we get when 6 increases to 7, 17 will change to 19

i.e. 2 will be added to 17 to get next table value.

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

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: