a fish tank contains 14 goldfish and 26 guppies. if you randomly select 2 fish, what is the probability that they are both goldf
2 answers:
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Answer:
We conclude the equation is linear because it can be rewritten in the form .
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the line or linear equation
where
is the slope
is the y-intercept
<u>Important Tip:</u>
The graph of a linear equation is always a straight line.
Convert the given equation in the slope-intercept form
subtract 18x from both sides
simplify
divide both sides by 9
Now, comparing the equation with a slop-intercept form of linear equation
- The slope m = -2
- The y-intercept b = -416/9
Therefore, we conclude the equation is linear because it can be rewritten in the form .
From the attached graph, is also clear that the graph of the equation is a straight line.
Hence, option D is correct.
Consecutive terms in an arithmetic sequence differ by a constant 
. So
Denote the
-th term in the sequence by 
. Now that 
, we have
which means
Denote the
which means