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Answer:
---- Starting with: ----
x² - 10x + 24
Since we have a leading coefficient of 1, simply find two numbers that sum up to -10 and multiply into 24.
By guessing and checking, we get the numbers -6 and -4. Put these into factors:
(x - 6)(x - 4)
Therefore, a binomial present in factored form is D. x - 4
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: