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worty [1.4K]
3 years ago
14

Algebraically prove that X^3+10/x^3+9=1+ 1/x^3+9 where x is not equal to -3

Mathematics
1 answer:
ehidna [41]3 years ago
7 0
<span>Algebraically prove that X^3+10/x^3+9=1+ 1/x^3+9 where x is not equal to -3
</span>\dfrac{x^3+10}{x^3+9}=1+\dfrac{1}{x^3+9} \\ \\ \\  \dfrac{x^3+10}{x^3+9}=\dfrac{(x^3+9)+1}{x^3+9}\\ \\ \\  \dfrac{x^3+10}{x^3+9}=\dfrac{x^3+10}{x^3+9}  \\ \\ \\x\in R \qquad x\in (-\infty, +\infty)<span>
</span>
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Vikentia [17]

Answer:

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8 0
2 years ago
Write your own word problem and share it with the group. Then translate your problem into its resulting math equation. What step
Ainat [17]

Step-by-step explanation:

Word Problems are mathematical problems presented in complete languages, rather than in mathematical notations.

Example:

A certain number is divided by half, the result is added to itself to give 6, what is the number?

Solution:

- Let the number be x

- Divide x by half:

In word problem, extra caution is to be taken, as misinterpretation can be very chaotic. Dividing a number by 2, is totally different from dividing the number by half.

4 divided by 2 is 4÷2 = 2

4 divided by half is 4÷½ = 4×2/1 = 8

2 and 8 are different, reason to be cautious.

So dividing x by half, we have:

x ÷ 1/2 = x × 2/1 = 2x.

- Now, what we have is

2x + x = 6

Solving this equation, we can obtain the value of x.

2x + x = 6

3x = 6

Dividing both sides by 3

3x/3 = 6/3

x = 2.

Therefore, the solution to the word problem is x = 2.

6 0
3 years ago
Michael is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%, what is the sale
Anna35 [415]

Answer      

Find out the  what is the sale price of the jeans including tax .

To prove

Let us assume that the sale price of the jeans including tax be x .

As given

Michael is buying a pair of jeans that regularly cost $40.

They are on sale for 20% off.

If the tax rate is 8% .

20% is written in the decimal form

= \frac{20}{100}

= 0.20

8% is written in the decimal form

= \frac{8}{100}

= 0.08

Than the equation becomes

x = 40 - 40 × 0.20 + 40 × 0.08

x = 40 - 8 + 3.2

x = 43.2 - 8

x = $35.2

Therefore the sale price of the jeans including tax be $ 35.2 .



4 0
3 years ago
Hmmm..........................................................................................................
AveGali [126]
The 3rd one down is the answer
7 0
2 years ago
Read 2 more answers
4x/3 + 2(3- x) = 5 Solve for x as an FRACTION
forsale [732]

Answer:

<h2>The answer is .... <u><em> x = 3/2</em></u><em> </em>and if you want to write it as a mixed fraction i will be x= <u><em>1 and 1/2</em></u></h2>

Step-by-step explanation:

Hope this Helped :)

6 0
3 years ago
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