4(2k - 3) + 1 = 8k - 11
8k - 12 + 1 = 8k - 11
8k - 11 = 8k - 11
So, these two equations equal to the same thing.
Glad I could help and gave a fantastic day!
3.3333333333333333333
repeating
For this case we have a function of the form:

Where,
A: initial population of bacteria
b: growth rate
x: number of hours
Since the diameter is double every hour, then:

We must now look for the value of A.
To do this, we evaluate an ordered pair of the graph:
For (1, 2):

Clearing A we have:


Then, the function is given by:

For after 9 hours we have:

Answer:
the diameter of the bacteria after 9 hours is:

Answer:
The temperature at noon was 37 °F.
Step-by-step explanation:
Given:
Temperature at midnight is 34 °F.
Reduction in temperature by 6:00 a.m. is 8°. So, temperature after reduction is given as the difference in temperature at midnight and morning.
Therefore, temperature by 6:00 a.m. in the morning is given as:
Reduced temperature = Midnight temperature - Reduction in temperature.
Reduced temperature = 34 °F - 8 °F = 26 °F.
Now, by noon, the temperature is increased by 11 °F. Therefore, the final temperature by noon is addition of 11 degree to the temperature that was in the morning. Therefore,
Temperature at noon = Temperature in morning + Increase in temperature.
Temperature at noon = 26 °F + 11 °F = 37 °F.
So, the temperature at noon is a 3 °F increase to the temperature at midnight and is equal to 37 °F.
Answer:
(a) The equation is
.
(b) Trey gets approximately $8.29 for each hour of work.
Step-by-step explanation:
Given:
Number of hours Trey works = 7
Amount of money he put aside for mom = $2
Total Amount he keeps each day = $56
We need to find the amount he gets for each hour.
Let 'h' represent the amount (in dollars) Trey gets paid each hour.
Solving for part (a).
We need to write the equation to find the amount he gets paid for each hour.
Now we can say that;
Total Amount he keeps each day is equal to Number of hours Trey works multiplied by the amount he gets paid for each hour minus Amount of money he put aside for mom.
framing in equation form we get;

Hence the equation is
.
Solving for part (b).
we need to solve the above equation to find the amount he gets paid for each hour.
On solving the equation we get;
Adding both side by 2 we get

Now Dividing both side by 7 using Division Property we get;

Hence Trey gets approximately $8.29 for each hour of work.