Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
Answer:
The sum of the arithmetic sequence is
.
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.
If the first term of an arithmetic sequence is
and the common difference is d, then the nth term of the sequence is given by:

For the sequence

The pattern is continued by adding -11 to the last number each time.
An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first,
and last term,
, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>
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The sum of the arithmetic sequence is


Answer:
A = ± 
Step-by-step explanation:
Given
b²A² - 3g = q ( add 3g to both sides )
b²A² = q + 3g ( divide both sides by b² )
A² =
( take the square root of both sides )
A = ± 
Answer:
1) 4x + 4y = -8
x=-2-y
y=-2-x
2) 22 – 2y = 4
y=9
Step-by-step explanation:
Answer:
0.6 x 25 = x
Step-by-step explanation:
60% of 25
= 60/100 x 25
= 0.6 x 25
= 15
Though the question states as in a "select-all question," Only answer 0.6 x 25 = x will be correct.