Answer:
thats your answer......
Which matrix equation represents the system of linear equations?
1 answer:
9514 1404 393
Answer:
B
Step-by-step explanation:
When solving multiple choice problems, a reasonable strategy is to look for ways to identify one answer as good, or other answers as bad.
Here, all of the constant vectors in the equations are different, so we can decide the answer based on that.
The only equation with the correct constant vector is choice B.
_____
The constants in the equations are -4, 1, 9 — the values to the right of the equal sign.
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Answer:
A
Step-by-step explanation:
Recall that the sum of an arithmetic series is given by:
Where <em>n</em> is the number of terms, <em>a</em> is the first term, and <em>x</em>_<em>n</em> is the last term.
We know that the initial term <em>a</em> is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find <em>n</em>.
First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:
Since the initial term is 13 and the common difference is 7:
Substitute:
We are given that the initial term is 13 and the sum is 2613. Substitute:
Solve for <em>n</em>. Multiply both sides by two and combine like terms:
Distribute:
Simplify:
Isolate the equation:
We can use the quadratic formula:
In this case, <em>a</em> = 7, <em>b</em> = 19, and <em>c</em> = -5226. Substitute:
Evaluate:
Evaluate for each case:
We can ignore the second solution since it is negative and non-natural.
Therefore, there are 26 terms in the arithmetic series.
Our answer is A.