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We conclude that the value of 'a' will be:

Hence, option (2) is true.

Step-by-step explanation:

Given the equation

x = 2a - b²

Let us solve the equation to solve for 'a'

switching sides

Add b² to both sides

Simplify

Divide both sides by 2

Simplify

Therefore, we conclude that the value of 'a' will be:

Hence, option (2) is true.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation: