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Feliz [49]
1 year ago
5

I need some help on these 3 questions :)

Mathematics
1 answer:
wlad13 [49]1 year ago
3 0

The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

<h3>How to simplify the expressions?</h3>

<u>Factor of the polynomial</u>

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

<u>The length of the pool</u>

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

<u>Simplify the expression</u>

The expression is given as:

(3s^2 - 2s + 1) \div (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

Read more about algebraic expressions at:

brainly.com/question/2164351

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jeyben [28]

Answer:

The room is square. This is because it says "diagonal of the floor..." Which means it is from one corner of the room to the opposite end.

Step-by-step explanation:

It says "four wall room" which means it is a square. It also states that each wall meet at a right angle. To through you off this question stated the word 'diagonal' to mess with you when reading this question quickly. If you look more detailed and I like to re-read sentences in order to recognize all the information given. So the Room IS a Square.

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Based on the fact that the snake was placing the mice one - by - one into a jar, this is A. Combining sets.

<h3>What does combining sets entail?</h3>

When sets are combined, it means that numbers from a certain set of variables are combined with those from another set.

The snake had captured the mice separately which means they were in different sets. Putting them into one jar means they are being combined so this is combining sets.

Find out more on number and operations standards at brainly.com/question/20628271.

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2 years ago
Sam buys
mariarad [96]

Answer:

no

Step-by-step explanation:

2 boxes of eggs = 1.30 × 2 = 2.60

1 bottle of juice = 2.60

he payed 10 and got 0.90 so he payed 9.10

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Dmitry [639]

Answer:

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Step-by-step explanation:

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