Dana kicks a soccer ball. the table shows the height of the soccer ball with respect to the time, in seconds, after the ball was kicked. time | height(seconds) | (feet) ~0.5 211 341.5 392 362.5 253 6which graph best displays the relationship shown in the table? (i just need confirmation that its c)

The correct option is C.

Step-by-step explanation:

The standard form of a parabola is

The table of values represents the coordinate pairs of the parabola. It means the graph of the parabola must be passes through these coordinate pairs.

From the given table it is clear that the parabola passes through the points (0.5,21), (1,34) and (1.5,39).

            .... (1)

                     .... (2)

           .... (3)

On solving (1), (2) and (3), we get

The equation of parabola is

The graph of parabola is shown below. It is same as graph in option C.

Therefore the correct option is C.

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:

i honestly dont know