Answer:
When we have a function f(x), the average rate of change in the interval (a, b) is:

In this case, we have the function:
f(x) = (x + 3)^2 - 2
(but we do not have the interval, and I couldn't find the complete question online)
So if for example, we have the interval (2, 4)
The average rate of change will be:

If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).
Such that the rate of change, in this case, will be:
f'(x) = df/dx
For a function like:
g(x) = x^n + c
g'(x) = n*x^(n - 1)
And for:
h(x) = k( g(x))
h'(x) = k'(g(x))*g'(x)
So here we can write our function as:
f(x) = k(g(x)) = (x + 3)^2 - 2
where:
g(x) = x + 3
k(x) = x^2 - 2
Then:
f'(x) = 2*(x + 3)*1 = 2*x + 6
That is the rate of change as a function of x (but is not an "average" rate of change)
<em>Greetings from Brasil...</em>
Just 2 equal angles are enough for the triangles to be similar .... The second triangle has the same angles as the first.
We know that the sum of the internal angles of a triangle is 180, so for the second triangle:
84,6 + 65 + X = 180
X = 180 - 84,6 - 65
X = 30,4 → same angle as the largest triangle
So we have AA~ similarity
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>Plot two points and check which graph has those:</u>
and
Points (0, 2) and (1, 6) are correct on the image 1 with blue graph
Answer:
the one thats not equal to 16 is the last one; 8^2
Step-by-step explanation:
all of them equal 16 but 8^2 is 64