What is 20% as fraction
2 answers:
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Answer:
Please find the required line chart created with MS Excel
Step-by-step explanation:
Question:
The given data are;
3/4, 1 1/2, 2, 1 1/4, 3/4, 2, 1 1/2, 1 1/4, 1 1/2, 1/2, 1
In the question, it is required to create a line plot to represent the data
The given data can be sorted in ascending order in decimal form as follows;
0.5, 0.75, 0.75, 1, 1.25, 1.25, 1.5, 1.5, 1.5, 2
The line chart created with MS Excel is attached.
Answer:
The system of linear equations has infinitely many solutions
Step-by-step explanation:
Let's modified the equations and find the answer.
Using the first equation:
we can multiply by 2 in both sides, obtaining:
which can by simplified as:
which is equal to:
Considering the second equation:
Taking into account that from the first equation we know that: , we can express the second equation as:
, which can be simplified as:
Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:
if
This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.
For example, if k=0 then
which give us y=-4, and, because:
if y=-4 then
Now let's try with k=-1, then:
which give us y=-8, and, because:
if y=-8 then
.
Then, the system of linear equations has infinitely many solutions