Determine if each function is linear or nonlinear.
1 answer:
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Answer:
D) 5.6, 6, 6, 1
Step-by-step explanation:
Before we start solving this problem, we need to first rearrange the provided data from smallest to greatest, so we get:
5, 5, 5, 5, 6, 6, 6, 6, 6
now we can find the mean. The mean is nothing but the average of the provided values, so we need to add them and then divide them into the total amount of data:
next, in an odd number of data, the median is the middle number when written in order. In this case the middle number (the one in the position 5) is 6, so:
median=6
the mode will tell you what is the value that has the greatest number of occurrencies. This is the number that appears the most on our list.
Mode=6
and the range is the difference between the greatest value and the smallest value:
Range=6-5=1
so the answer is D.
Tthe inequality that describes this graph is y ≤ 1/3x - 4/3
<h3>How to determine the linear inequality represented by the graph?</h3>The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(0, -1.3) and (3, -0.3)
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (-0.3 + 1.3)/(3 - 0)
Evaluate
m = 1/3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1/3(x - 0) - 1.3
Evaluate
y = 1/3x - 4/3
From the graph, we have the following highlights:
- The line of the graph is a closed line
- The upper part is shaded
The first highlight above implies, the inequality can be any of ≥ and ≤
While the second highlight above implies, the inequality is ≤
Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3
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