Examine the table, which represents a linear function. Input (x) Output (y)
8 −40
11 −49
14 −58
17 −67
What is the rate of change of the function?

So that's the change in Y. Now notice that X is increasing. By one unit each time. So we can calculate the slope. The slope is the change in Y divided by the change in X

Step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)