Answer:
The graph of the equation is shown in the picture attached below.
We can see w = 12 corresponds to the global maximum of the function, and for any w greater than 12 the value of A(w) decreases.
This means that for any value of the width greater than 12, the function cannot model the situation.
Making the equation only valid for
w ∈ [0,12]
Using an exponential function, it is found that the colony will have 1344 bacteria after 8 days.
<h3>What is an exponential function?</h3>An increasing exponential function is modeled by:
In which:
Considering the initial amount of 150, and the growth rate of 73% each 2 days, the equation is given by:
Hence, after 8 days, the amount of bacteria is given by:
More can be learned about exponential functions at brainly.com/question/25537936
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Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°
We need to determine the coordinates of the point A'
<u>Reflection over the y - axis:</u>
The coordinates of the point A is (-2,1)
The transformation rule to reflect across the y - axis is
Substituting the point (-2,1) in the rule, we get;
Thus, the coordinates of the point A after reflection over the y - axis is (2,1)
<u>Reflection over the x - axis:</u>
The transformation rule to reflect across the x - axis is
Substituting the point (2,1) in the rule, we get;
Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)
<u>Rotation about 180°:</u>
The transformation rule to rotate about 180° is
Substituting the point (2,-1) in the rule, we get;
Thus, the coordinates of the point A after the rotation about 180° is (-2,1)
Therefore, the coordinates of the point A' is (-2,1)
Hence, Option B is the correct answer.