Answer:
541 (484) 783, 437 (410) 642
Step-by-step explanation:
Required
Fill in the bracket
First, we generate a formula for the first sequence: 541 (484) 783
![484 = 2 * [783 - 541]](https://tex.z-dn.net/?f=484%20%3D%202%20%2A%20%5B783%20-%20541%5D)
![484 = 2 * [242]](https://tex.z-dn.net/?f=484%20%3D%202%20%2A%20%5B242%5D)


Using the same formula for the second sequence: 437 (?) 642
![x = 2 * [642 - 437]](https://tex.z-dn.net/?f=x%20%3D%202%20%2A%20%5B642%20-%20437%5D)
Where x represents the empty bracket
![x = 2 * [205]](https://tex.z-dn.net/?f=x%20%3D%202%20%2A%20%5B205%5D)


9514 1404 393
Answer:
x = 2 1/3
Step-by-step explanation:
We can examine the equations to see where the solution lies.
<u>f(x) = (2/3) -x</u>
This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.
<u>h(x) = 3 -2x</u>
This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.
__
In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.
The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.
_____
<em>Additional comment</em>
Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.
Answer: A) The initial number of bacteria is 350.
Step-by-step explanation:
Exponential growth equation:
, where A=Initial value, r= growth rate. (i)
Given: A bacteria sample can be modeled by the function
which gives the number of bacteria in the sample at the end of x days.
Here, 
Compare this equation to (i) , we get A = 350 and r= 0.20 = 20% (growth rate)
So, the best interpretation of one of the values in this function are:
A) The initial number of bacteria is 350.