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For finding the value of b, we must consider that Line MN passes through points M(4, 3) and N(7, 12). With this condition y = mx + b, can be written 3=4m+ b (because line passes through M(4,3) ) and 12=7m+b, b ( because line passes through M(7,12)).
We have a system of equation
4m+ b=3
7m+b=12
For solving this, 4m+b- (7m+b)= 3-12, it is equivalent to -3m= -9 and then m=3, if m=3 so
4x3 +b =3 implies b= 3 -12= -9, so the value of b= -9
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Answer:
29504.5624608
Step-by-step explanation:
Answer: A - sin 63
Step-by-step explanation:
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:
