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4 years ago

Divide the polynomials.

Mathematics

1 answer:

Mnenie [13.5K]4 years ago

3 0

Answer:

$\dfrac{3x^3+x-11}{x+1}=3x^2-3x+4-\dfrac{15}{x+1}$

Step-by-step explanation:

We want to determine the result of the quotient: $\dfrac{3x^3+x-11}{x+1}$

We follow the procedure of long division which is set out int he table below.

$\left|\begin{array}{c|c}&3x^2-3x+4\\-----&-----\\x+1&3x^3+x-11\\Subtract&-(3x^3+3x^2)\\&------\\&-3x^2+x-11\\Subtract&-3x^2-3x\\&------\\&4x-11\\Subtract&4x+4\\&------\\&-15\end{array}\right|$

Therefore:

$\dfrac{3x^3+x-11}{x+1}=3x^2-3x+4-\dfrac{15}{x+1}$

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The Mississippi River flows at 16,790 cubic meters per second.

Olenka [21]

Answer:

Time taken is $1.45\times 10^8\textrm{ s}$ .

Step-by-step explanation:

Given:

Volume of Gulf of Mexico, $V=2434000000000000=2.434\times 10^{12}\textrm{ }m^3$

Flow rate of the Mississippi River, $f=16790=1.679\times 10^4\textrm{ }m^{3}/s$

Now, time taken to fill the volume of Gulf of Mexico is given as:

$Time=\frac{\textrm{Total volume}}{\textrm{Flow rate}}\\\\Time=\frac{2.434\times 10^{12}}{1.679\times 10^{4}}=1.45\times 10^{8}\textrm{ s}$ .

Therefore, the time by the Mississippi River to fill the volume of the Gulf of Mexico is $1.45\times 10^8\textrm{ s}$ .

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3 years ago

Factorise 1-a^2 b^2

DerKrebs [107]

Hi there.

Thanks for using Brainly!

First, let's rewrite to make this problem easier.

1^2 - a^2b^2

Then we must multiply the terms with equal exponents with their bases.

1^2-(ab)^2

Using the factor: a^2 - b^2=(a-b)(a+b)

We can factor using that expression.

(1-ab) x (1+ab)

After factoring, this has been our solution.

Solution: (1-ab) x (1+ab)

Thanks for using Brainly!

- Tutor John

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3 years ago

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Ipatiy [6.2K]

Answer:

Step-by-step explanation:

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3 years ago

Solve the proportion 3/4 = 12/y y=

NikAS [45]

Answer:

y= 16

Step-by-step explanation:

For numerator 3 to become 12, the numerator and denominator must be multiplied by 4. 3x4=12 and 4x4=16. this claim is correct since 3/4 = 12/16. Taking this into consideration the value of Y is the same as the value of the second denominator.

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3 years ago

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What is 13x - 7y + 4x?

AlladinOne [14]

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3 years ago