2 years ago

two times a number is subtracted from 25 the result is the same as when it is added to six times.find the number

Mathematics

1 answer:

ExtremeBDS [4]2 years ago

8 0

Answer:

6.3

Step-by-step explanation:

1. 25 - 2n = n + 6

2. 25 = 3n + 6

3. 3n = 19

4. n = 6.3

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Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

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I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

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Answer:

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two times a number is subtracted from 25 the result is the same as when it is added to six times.find the number​

two times a number is subtracted from 25 the result is the same as when it is added to six times.find the number