Answer:
D
Step-by-step explanation:
It is irrational because you cant write it as a fraction
Well,
As we can see, the only difference is that the parentheses have moved.
This is an example of the associative property. It is specifically of multiplication, because products are used in this case.
Just as a test, let's see whether they are really equal.
Following PEMDAS, we get:
(2*4)7 = 2(7*4)
(8)7 = 2(28)
56 = 56
They are equivalent.
the equation to this graph is y = 2x -2
For this case we have a function of the form:
![y = A * (b) ^ x](https://tex.z-dn.net/?f=%20y%20%3D%20A%20%2A%20%28b%29%20%5E%20x%20%20)
Where,
A: initial population of bacteria
b: growth rate
x: number of hours
Since the diameter is double every hour, then:
![b = 2](https://tex.z-dn.net/?f=%20b%20%3D%202%20%20)
We must now look for the value of A.
To do this, we evaluate an ordered pair of the graph:
For (1, 2):
![2 = A * (2) ^ 1](https://tex.z-dn.net/?f=%202%20%3D%20A%20%2A%20%282%29%20%5E%201%20%20)
Clearing A we have:
![2 = A * 2](https://tex.z-dn.net/?f=%202%20%3D%20A%20%2A%202%20%20)
![A = \frac{2}{2}\\A = 1](https://tex.z-dn.net/?f=%20A%20%3D%20%5Cfrac%7B2%7D%7B2%7D%5C%5CA%20%3D%201%20%20%20)
Then, the function is given by:
![y = 1 * (2) ^ x](https://tex.z-dn.net/?f=%20y%20%3D%201%20%2A%20%282%29%20%5E%20x%20%20)
For after 9 hours we have:
![y = 1 * (2) ^ 9\\y = 512](https://tex.z-dn.net/?f=%20y%20%3D%201%20%2A%20%282%29%20%5E%209%5C%5Cy%20%3D%20512%20%20)
Answer:
the diameter of the bacteria after 9 hours is:
![y = 512](https://tex.z-dn.net/?f=%20y%20%3D%20512%20)
Answer:
It doesn't make sense
Step-by-step explanation: