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Lynna [10]
3 years ago
11

Pleaseeee helpppp !!!!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Answer:

11

Step-by-step explanation:

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.875 .88 .98

7/8, 9/9, .98 is your answer from least to greatest!

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Answer:

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Read 2 more answers
1/(x-1)x+1/x(x+1)+...+1/(x+9)(x+10)=11/12
nata0808 [166]

Notice that

\dfrac1{(x-1)x} = \dfrac1{x-1} - \dfrac1x \\\\ \dfrac1{x(x+1)} = \dfrac1x - \dfrac1{x+1} \\\\ \vdots \\\\ \dfrac1{(x+9)(x+10)} = \dfrac1{x+9} - \dfrac1{x+10}

That is, the <em>n</em>-th term (where <em>n</em> = -1, 0, 1, …, 9) in the sum on the left side has a partial fraction decomposition of

\dfrac{1}{(x+n)(x+n+1)} = \dfrac1{x+n} - \dfrac1{x+n+1}

and in the sum, some adjacent terms will cancel and leave you with

\dfrac1{(x-1)x} + \dfrac1{x(x+1)} + \cdots + \dfrac1{(x+9)(x+10)} = \dfrac1{x-1} - \dfrac1{x+10} = \dfrac{11}{12}

Now solve for <em>x</em>, bearing in mind that we cannot have <em>x</em> = 0, -1, -2, …, -10 :

\dfrac1{x-1} - \dfrac1{x+10} = \dfrac{11}{12}

Combine the fractions on the left side:

\dfrac{(x+10)-(x-1)}{(x-1)(x+10)} = \dfrac{11}{(x-1)(x+10)} = \dfrac{11}{12}

Then we must have

(x-1)(x+10) = x^2 + 9x - 10 = 12 \implies x^2+9x-22 = (x+11)(x-2) = 0

so that either <em>x</em> = 2 or <em>x</em> = -11.

4 0
3 years ago
In the addition problem at the right, each letter stands for a digit and different letters stand for different digits. What digi
AVprozaik [17]

In the addition problem attached, the letters H = 2, E = 3, A = 9. See the explanation below.

<h3>What is the explanation for the above?</h3>

In the problem, A depicts a single digit i.e; A < 9.

=> 4H<10

=>H<3

i.e; H should be 1 or 2.

In units column, 4E should have H in units place in the result. i.e; 1 or 2

As 4E is always an even number, H cannot be 1.

=> H = 2

If H = 2, E can be 3 or 8 for 4E to end in 2.

If E = 8, the result will be a three-digit number => E = 3

So if H = 2 and E = 3

A = 9

Therefore, the letters

H = 2,

E = 3, and

A = 9.

Learn more about addition problems:
brainly.com/question/24530307
#SPJ1

5 0
2 years ago
PLZ Help me. This is difficult.
lorasvet [3.4K]

Answer:

its B

Step-by-step explanation:

7 0
3 years ago
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