Answer:
Lets Recall, p= 0.080, n=100, UCL= 0.161
Then np=100, 0.080=8
Step-by-step explanation:
The full steps or solution to this is in an an attached document.
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.
Answer:
1. 5 + y = 7
⇒ y = 7 - 5
⇒<u>y = 5</u>
2. 3.8 = a + 2.5
⇒ a = 2.5 - 3.8
⇒ <u>a = -1.3</u>
3. 5 + p = 9 1/3
⇒ p = 9 1/3 - 5
⇒ p = 28/3 - 5
⇒ p = 28/3 - 15/3
⇒ p = 13/3
⇒<u> </u><u>p = 4 1/3</u>
The generic equation for a linear function can be expressed in the slope intercept form f(x) = mx + b, where m is the slope and b is the y intercept. For this problem we can first find the equation of the line. Then we substitute x = 7 to get the f(x) value, which is n at the point x = 7.
To find the equation of the linear function we first find the slope. Slope is defined as the change in f(x) divided by the change in x. As we are given a linear function, the slope at every point is the same. We can pick any two points known to find the slope.
Let's pick (3, 7) and (9, 16). The slope m is m = (16-7)/(9-3) = 9/6 = 3/2.
Now that we have the slope, we can plug in the slope and one of the points to find b. Let's use the point (3, 7).
f(x) = mx + b
7 = (1/2)(3) + b
b = 11/2
Now we can write the equation
f(x) = (1/2)x + 11/2
Plugging in x = 7 we find that f(7) = 9. n = 9
The given expression :

For coordinates:
put x = 0 then :

Coordinate : (x, y) = (0, 1)
Put x= 1 and simplify :

Coordinate : (x, y) = ( 1, 0.5)
Put x = (-2) and simplify :

Coordinate : (x, y) = ( -2, 4)
Put x = (-3) and simplify :

Coordinate : (x, y) = (-3, 8)
Substitute x = (-1) and simplify :

Coordinate : (x, y) = ( -1, 2)
So, the coordinates are :
The graph is :