If x=6 and y=−4, evaluate the following expression:10−4xy
2 answers:
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<h2>Answer with explanation:</h2>
We are asked to prove by the method of mathematical induction that:
where n is a positive integer.
- Let us take n=1
then we have:
Hence, the result is true for n=1.
- Let us assume that the result is true for n=k
i.e.
- Now, we have to prove the result for n=k+1
i.e.
<u>To prove:</u>
Let us take n=k+1
Hence, we have:
( Since, the result was true for n=k )
Hence, we have:
Also, we know that:
(
Since, for n=k+1 being a positive integer we have:
)
Hence, we have finally,
Hence, the result holds true for n=k+1
Hence, we may infer that the result is true for all n belonging to positive integer.
i.e.
where n is a positive integer.
The value that could replace variable x in the table is (15 - m)8
<h3 /><h3>How to the value of x in an expression ?</h3>The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.
From the table, the time to answer the whole multiple choice question is as follows:
total time = 3m
From the table, the total time taken to answer the free response question is as follows:
total time = (15 - m)8
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