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rusak2 [61]
3 years ago
7

For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Answer:

48

Step-by-step explanation:

We are asked that the value of (4n + 7) will be an integer > 1 and < 200, for how many integer values of n.

So, equating (4n + 7) with 200 we can get the value.

4n + 7 = 200

⇒ 4n = 193

⇒ n = 48.25

Hence, the value of n will be the largest integer less than 48.25.

Therefore, the number of integer values of n will be 48. (Answer)

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The equivalent expression of \log_c(\frac{x^2 - 1}{5x}) is \log_c(x^2 - 1) - \log_c(5x)

<h3>How to determine the equivalent expression?</h3>

The logarithmic expression is given as:

\log_c(\frac{x^2 - 1}{5x})

The law of logarithm states that:

log(a) - log(b) = log(a/b)

This means that the expression can be split as:

\log_c(\frac{x^2 - 1}{5x}) = \log_c(x^2 - 1) - \log_c(5x)

Hence, the equivalent expression of \log_c(\frac{x^2 - 1}{5x}) is \log_c(x^2 - 1) - \log_c(5x)

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2 years ago
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Answer:

a) Micheal's present age = 8 years old

b) The sum of their ages in 6 years time = 63 years.

Step-by-step explanation:

From the above question, we know that

Rui feng is 3 years old

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Micheal's present age is calculated as:

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Vishal's present age is calculated as

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Therefore, a) Micheal's present age = 8 years old

b) The sum of their ages in 6 years time = 63 years.

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