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Vsevolod [243]
3 years ago
14

(Please answer!) What is the quotient (3x^3+10x+4)÷(x+2)? Answer choices below:

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

The answer is option 2.

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!!!!!!!!!!!!!!!!!!!!​
notsponge [240]

Option 3

The solution for given expression is \frac{(x - 4)(x - 4)}{(x + 3)(x + 1)}

<h3><u>Solution:</u></h3>

Given that we have to divide,

\frac{x^2 -16}{x^2 + 5x + 6} \div \frac{x^2 + 5x + 4}{x^2 -2x - 8}   ---- (A)

Let us first factorize each term and then solve the sum

Using a^2 - b^2 = (a + b)(a - b)

x^2 -16 = x^2 - 4^2 = (x + 4)(x -4)  ----- (1)

x^2 + 5x + 6 = (x + 2)(x + 3)   ----- (2)

x^2 + 5x + 4 = (x+1)(x + 4)   ---- (3)

x^2 -2x - 8 = (x-4)(x + 2)   ---- (4)

Now substituting (1), (2), (3), (4) in (A) we get,

\frac{(x + 4)(x -4)}{(x +2)(x +3)} \div \frac{(x+1)(x+4)}{(x-4)(x +2)}

To do division with fractions, we turn the second fraction upside down and change the division symbol to a multiplication symbol at the same time. Then we treat this as a multiplication problem, by multiplying the numerators and the denominators separately.

\frac{(x + 4)(x -4)}{(x +2)(x +3)} \times \frac{(x - 4)(x + 2)}{(x + 1)(x + 4)}

On cancelling terms we get,

= \frac{(x -4)(x-4)}{(x + 3)(x + 1)}

Thus option 3 is correct

6 0
4 years ago
A box, with rectangular sides, base and top is to have a volume of 2 cubic feet. It has a square base. Express the
Alex_Xolod [135]

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

<h3>What is volume?</h3>

Volume is the amount of space occupied by a three dimensional shape or object.

Let w represent the width of the base and h represent the height. Hence:

w²h = 2

h = 2/w²

The surface area = 2w² + 4(hw) = 2w² + 4(2/w² * w) = 2w² + 8/w

The total cost = 2w² * $10 + (8/w) * $20 = $(20w² + 160/w)

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

Find out more on volume at: brainly.com/question/12410983

8 0
2 years ago
PLEASE HELP, DUE IN 5 MIN I NEED HELP PLS PLS PLS!!!!!!!!!
BlackZzzverrR [31]

Answer:

it would be: A.

Step-by-step explanation:

6 0
3 years ago
The table your working at keeps wobbling. You decide to fix it by making a thick pad of paper from folded sheets of paper. Each
loris [4]
To answer this question and you will use exponents.

When you fold your paper three times, it is represented as two cubed or 2^3.

When you for your other sheet of paper two times, it is represented as two squared or 2^2.

Put Both of these together and you have 8+4 which equals 12.

It will take 12 layers of paper.
5 0
3 years ago
A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
Sladkaya [172]

Answer:

20,000 songs

Step-by-step explanation:

3 0
3 years ago
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