The domain of the third piece of the graph is contained in interval <u>B. (12, 20)</u>.
<h3>What is the domain of a graph?</h3>
The domain of a graph consists of all the input values shown on the x-axis.
The input values (domain) are shown on the x-axis, unlike the range, whose output values are shown on the y-axis.
Therefore, the domain comprises the independent variables or values, which can be determined using the function, y = f(x).
Thus, the domain of the third piece of the graph can be determined in interval <u>B. (12, 20)</u>.
Learn more about domain and range at brainly.com/question/10197594 and brainly.com/question/2264373
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Prime numbers: numbers which only have the factors of themselves and 1.
They include numbers such as 17, 19, 23, etc. These are numbers which only have two factors: such as 17, with the factors only being 17 and 1.
So therefore, this means, that for any two prime numbers, unless they are the same number, the only factor they will share is 1. So therefore the GCF of two prime numbers is 1.
Hope this helped!
Using the critical point concept, it is found that a = -3 and b = 7.
<h3>What are the critical points of a function?</h3>
- The critical points of a function are the values of x for which:
In this problem, the function is:
Hence, the derivative is:
Then:
Since the critical point is at x = 2, we have that:
Then:
Critical point at (2,3) means that when 
, then:
You can learn more about the critical point concept at brainly.com/question/2256078
The volume of a cylinder changes when you adjust the height or radius as the volume either increases or reduces.
<h3>How to illustrate the volume?</h3>
Let's assume that the height and radius are 14cm and 7cm. The volume will be:
= πr²h
= 3.14 × 7² × 14
= 2154.04cm³
When the radius and height are reduced to 5cm and 9cm, the volume will be:
= πr²h
= 3.14 × 5² × 9
= 706.5cm³
This illustrates that the volume reduces when the height and radius reduces.
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14 - (11 + 5) * 3 + 2
Solve inside the parentheses first (11 + 5).
14 - (16) * 3 + 2
Solve multiplication next (16 * 3).
14 - 48 + 2
Solve from left to right.
-34 + 2 = -32
Your answer is -32.
