Determine whether the table of values below represents a linear function. If it represents a linear function, write the function. If it does not represent a linear function, explain why not.

The equation of a linear function is:

Step-by-step explanation:

Given the table

x                    y

-10               -16

-3                 -2

1                    6

2                   8

Determining the slope between the points (-10, -16), (-3, -2)

Determining the slope between the points (-3, -2), (1, 6)

Determining the slope between the points (1, 6),(2, 8)

As the slope between the points is the same. Thus, the table represents the linear function.

Using the point-slope form of the line equation

substituting the values m = 2 and any point let say (1, 6)

Therefore, the equation of a linear function is:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

4a. is 3 miles every hour

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

step-by-step explanation: