The change from a gift purchase was 3.90.each of 6 students donated an equal amount for the gift.how much change should each stu
1 answer:
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Answer: The sum of five consecutive even numbers for this sequence is 20n.
Step-by-step explanation:
Since we have given that
Number of consecutive even numbers = 5
Middle value = 4n
Since there are 5 consecutive even numbers:
4n-4,4n-2,4n,4n+2,4n+4
So, Sum of five consecutive even numbers would be
Hence, the sum of five consecutive even numbers for this sequence is 20n.
Answer:
A. Yes, overdetermined systems can be consistent.
As, the system of equations below is consistent because it has a solution
,
,
.
Step-by-step explanation:
We have,
'Over-determined system is a system of linear equations, in which there are more equations than unknowns'.
For e.g. Let us consider the system,
2x - 3y = 1
3x - 2y = 4
x - y = 1
Plotting these equations, we see from the graph below that,
The only intersection point is (2,1). Thus, x= 2 and y= 1 is the solution of this system.
Thus, over-determined system can be consistent.
According to the options,
Option C is not correct as,
,
implies
.
Hence, option A is correct.
