The system is inconsistent because the slopes are the same and the lines are different.
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the following system of equations:
y = 6x + 2 (1)
y = 6x + 1 (2)
We can see that both equations have the same slope of 6 but have different y intercepts.
Hence the system is inconsistent because the slopes are the same and the lines are different.
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Answer:
Let's define the variables:
M = number of books that Marcus has.
x = number of books that Jessie has.
We know that:
"Marcus has one book less than three times the number of books that Jessie has."
Then the equation that represents the number of books that Marcus has is:
M = 3*x - 1.
Then if x tiles represent the number of books that Jessie has, the number of tiles for Marcus will be 3 times that, and then subtract one tile.
Answer:
V=7982.4 in
Step-by-step explanation:
V=4/3pi*r^3
V=4/3pi*12.4^3
V=4/3pi*1906.62
V=7626.48/3pi
V=2542.16pi
V=2542.16*3.14
V=7982.4
