Answer:
The average rate of change for f(x) from x=−1 to x = 4 is, 1
Step-by-step explanation:
Average rate A(x) of change for a function f(x) over [a, b] is given by:

As per the statement:

we have to find the average rate of change from x = -1 to x = 4
At x = -1

and
at x = 4

Substitute these in [1] we have;

⇒
⇒
Simplify:
A(x) = 1
Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1
Step-by-step explanation:
3x - 9 +2x + 9 = 2x - 2
5x = 2x - 2
5x - 2x = - 2
3x = - 2
x= - 2/ 3
Answer:

Given:

To Find:

Step-by-step explanation:

There are 2² butterflies.
Or simply 2²
<span>The arithmetic sequences have a constant difference between two terms. This sequence does not match this criterion, look: 12-8 = 4; 8-5=3; 5-3=2. Then it is not arithmetic. Let's examine whether it is geometric. Geometric sequences have a constant ration between adjacent terms: given that 3/2 is different to 5/3, and both are different to 8/5 and so on, this sequence does not either match this requirement. Then the sequence is not arithmetic or geometric.</span>