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2 years ago

Which expression is equivalent to

Mathematics

1 answer:

Hatshy [7]2 years ago

8 0

Answer:

Step-by-step explanation:

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(2x³+4x²-x+8) / (x² + 3x + 2)

a_sh-v [17]

$\dfrac{2x^3+4x^2 -x+8}{x^2 +3x+2}\\\\\\=\dfrac{2x^3+6x^2+4x-2x^2-6x-4+x+12}{}\\\\=\dfrac{2x(x^2 +3x+2)-2(x^2 +3x+2)+x+12}{x^2 +3x+2}\\\\\\=\dfrac{2x(x^2+3x+2)}{x^2 +3x +2 }- \dfrac{2(x^2 +3x +2)}{x^2 +3x +2 } + \dfrac{x+12}{x^2 +3x+2}\\\\\\=2x-2 + \dfrac{x+2}{x^2 +3x +2}\\\\\\=2x-2 + \dfrac{x+12}{x^2 +2x +x +2}\\\\\\=2x-2 + \dfrac{x+12}{x(x+2) + x+2}\\\\\\=2x-2 + \dfrac{x+12}{(x+1)(x+2)}\\$

3 0

1 year ago

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3? three-sevenths seven-thir

vova2212 [387]

The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k can be written as,

$xy=k\\\\(7) \times (3 ) =k\\\\k= 21$

Hence, the value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.

Learn more about Equation:

brainly.com/question/2263981

4 0

1 year ago

Which point can be used to find f(3)

Andreas93 [3]

Commonly the horizontal axis represent the x-axis. So, you need the point that means x = 3 (positive 3), so, it is the point A.

3 0

2 years ago

List all the perfect cubes up to 1000 and their cube roots.

DiKsa [7]

Hello from MrBillDoesMath!

Answer:

1^3 = 1

2^3 = 8

3^3 = 27

4^3 = 64

5^3 = 125

6^3 = 216

7^3 = 343

8^3 = 512

9^3 = 729

10^3 = 1000

Thank you,

MrB

4 0

2 years ago

| 1) Simplify: 12+8/2x3-(42+3)

lara [203]

Answer:

1 no. answer is -21

Step-by-step explanation:

According to BODMAS

12 + 8 / 2 * 3 - (42 + 3)

= 12 + 8 / 2 * 3 - 45

= 12 + 4 * 3 - 45

= 12 + 12 - 45

= 24 - 45

= -21

3 0

2 years ago