We are given the function:
g(x) = 6 (4)^x
Part A.
To get the average rate of change, we use the formula:
average rate of change = [g(x2) – g(x1)] / (x2 – x1)
Section A:
average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) =
18
Section B:
average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) =
288
Part B.
288 / 18 = 16
Therefore the average rate of change of Section B is 16 times
greater than in Section A.
<span>The average rate of change is greater between x = 2 to x = 3 than between
x = 1 and x = 0 because an exponential function's rate of change increases
with increasing x (not constant).</span>
Answer:
Ok listen here
Step-by-step explanation:
You are like the earth.
On the inside is a bright center and lava. When lava comes to the surface as a volcano, many people think it's ugly and dangerous, but other people think that it's beautiful.
We all know that a lot of people think the surface of the earth is ugly, and they have given up hope that people can change it, but the truth is that, the world is beautiful and we can change it.
You are beautiful and the people on your earth are represented as your brain. Your brain needs to tell you to look at yourself and to say that you are beautiful. You can change your mindset to tell you that you don't care what other people say, all that matters is what you say.
Always remember that :)
Step-by-step explanation:
The sum of the three angles in a triangle must be 
. Since this triangle has a right angle, we know that it is 
°, so the sum of the remaining two angles must be .
We can set up an equation for the two remaining angles to determine the value of 
:
Answer:
(1, - 6 )
Step-by-step explanation:
Given the 2 equations
y = x - 7 → (1)
y = - 4x - 2 → (2)
Substitute y = x - 7 into (2)
x - 7 = - 4x - 2 ( add 4x to both sides )
5x - 7 = - 2 ( add 7 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting x = 1 into (1)
y = 1 - 7 = - 6
Solution is (1, - 6 )
700,000 is your final answer so the number was rounded to the hundred thousands value/place.
