Answer:
Step-by-step explanation:The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day: Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points) Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents.
The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
<h3>Inequalities </h3>
From the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle
From the given information,
Line DE is about half the length of line DF
That is,
ED = 1/2 DF
Also,
Line FE is about one-third of the length of line DF
That is,
EF = 1/3 DF
Then, we can write that
ED + EF = 1/2DF + 1/3DF
ED + EF = 5/6 DF
Since,
5/6 DF < DF
Then,
ED + EF < DF
Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
Learn more on Inequalities here: brainly.com/question/1447311
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The formula that explain the arithmetic sequence is 
Step-by-step explanation:
The formula of the nth term in an arithmetic sequence is
, where
- a is the first term
- d is the common difference between the consecutive terms
∵
,
, 0 ,
are some terms of an arithmetic sequence
∵ The difference between two consecutive terms =
- 
∴ The difference between two consecutive terms =
+
= 
∴ The common difference = 
∴ d = 
∵ The first term is 
∴ a = 
- Substitute a and d in the formula above
∴ 
- Simplify the right hand side
∴ 
- Add like terms
∴ 
The formula that explain the arithmetic sequence is 
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Answer:
(-6,8)
Step-by-step explanation:
2x +3(8) = 12
2x+24=12
subtract 24
2x = -12
Divide by 2
X = -6