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dezoksy [38]
3 years ago
11

What is the simplified form of (4x+2)/(x+5) + (3x+1)/(x+5)?

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0
It is pretty easy to solve this equation, given that the denominator is the same of either side (x + 5). You don't even need the brackets.
So:

4x+2/x+5 + 3x+1/x+5 = 4x+2+3x+1/x+5 = 7x + 3/x+5

The correct answer is 7x + 3 / x + 5.
It's the same as if you were adding for example 2/3 and 6/3 - since the denominator is the same, you should just add 2 and 6 and get 8/3. 
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Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

Sum =  \frac{a( {r}^{n} - 1) }{(r - 1)}   \\

So,

\frac{a( {r}^{n} - 1)}{(r - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{(3 - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{2}  = 728 \\  {3}^{n}  - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n}  = 729 \\  {3}^{n}  =  {3}^{6}  \\ \boxed{ n = 6}

Therefore, number of terms is 6

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You can walk 1 3/4 miles in a half hour. what is your average speed?(help meee)
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Answer:

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Step-by-step explanation:

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ATQ,

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Hence, three integers are 15,16 and 17.

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