Determine the average rate of change of the function between the given variables h(x) = x; x=a, x=a+h

the average rate of change is 4.

Step-by-step explanation:

Find the average rate of change of f(x)=x^2 on the interval [1,3].

The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.

We have that a=1, b=3, f(x)=x^2.

Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116