Using it's definition, it is found that the function f(x) has a point of inflection at:
A. x = 8 only.
<h3>What are the points of inflection of a function?</h3>
- The critical points of a function are the <u>values of x</u> for which:

- Additionally, there has to be a change in the sign of

Researching the problem on the internet, it is found that:
- For 0 < x < 5,
.
- For x = 5,
is undefined.
- For 5 < x < 8,
.
- For x = 8,
.
- For 8 < x < 12,
.
- For x = 12,
.
- For 12 < x < 16,
.
The two conditions,
and a change in the signal of
are only respected at x = 8, which is the lone inflection point.
You can learn more about points of inflection at brainly.com/question/10352137
Answer:
A because science is not to be a math subject
The correct answer is D. Have other scientists repeat the procedure and obtain the same results.
Explanation:
One of the most accurate ways to validate the results of an experiment is to allow peers (other scientists) to review the experiment and repeat it, which is known as replication. This process is required to make sure the results are accurate because if the experiment is repeated by a different scientist and the results are different this shows the data is not consistent and therefore the results are invalid. Moreover, inconsistency or lack of replication can occur due to incorrect processes or bias by the scientist.
According to this, the next step in this situation is to "have other scientists repeat the procedure and obtain the same results".On the other hand, repeating the experiment but changing one of the variables or the procedures is not a correct step because this will change the essence of the experiment and lead to different results.
The distance in miles from P to Q is 12 miles
<h3>Distances and speed</h3>
Let the distance from P to Q be "d"
Since the formula for calculating speed is expressed as:
For the distance of P to Q
40 = d/t
d = 40t
If he drives back at an average speed of 45mph and 2 mintes less, then;
45 = d/t - 0.033
d = 45 (t - 0.033)
Equating both distances
40t = 45(t - 0.033)
40t = 45t - 1.485
-5t = -1.485
t = 0.297
Get the distance from P to Q:
d = 40(0.297)
d = 11.88 miles
Hence the distance in miles from P to Q is 12 miles
Learn more on speed and distance here: brainly.com/question/4931057