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stich3 [128]
4 years ago
11

Simplify the expression

Mathematics
1 answer:
Pachacha [2.7K]4 years ago
8 0

Answer:

Option B: 2x^2 +9x - 2/ 8x^3 +4x^2 -2x -1

Step-by-step explanation:

Given that:

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

By simplifying and factorizing we get:

= (3/ 4x^2 + 2x + 2x +1) + (x+1/ (2x^2)-(1)^2)\\= (3/ 2x(2x+1)+1(2x + 1)) + (x+1/(2x+1)(2x - 1))\\= (3/(2x + 1)^2) + (x+1/ (2x+1)(2x -1))

By taking LCM we get:

=(3(2x-1)+ (x+1)(2x + 1))/((2x+ 1)^2 (2x-1))\\= 6x -3 + 2x^2 + x + 2x +1/ 8x^3 +4x^2 -2x -1\\= 2x^2 +9x -2/8x^3 +4x -2x -1

I hope it will help you!

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DaniilM [7]

Answer:

x=1

Step-by-step explanation:

Expand the brackets by multiplying each term in the bracket by the expression outside the bracket:

    3(4x-5)-4x+1=-6

⇒  12x-15-4x+1=-6

Gather like terms and combine:

⇒  12x-4x+1-15=-6

⇒  8x-14=-6

Add 14 to each side of the equation:

⇒  8x-14+14=-6+14

⇒  8x=8

Divide both sides by 8:

 ⇒  8x \div8=8\div8

⇒  x=1

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2 years ago
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Step-by-step explanation:

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A customer buys three bottle of water at ninety-nine cents each. there is seven percent tax on each bottle. What is the total bi
yuradex [85]
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5 0
3 years ago
The function g(x) = x3 has the point (-3, -27) on its graph. The function g(x) is even or odd
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Answer:

The function g(x) is odd.

Step-by-step explanation:

Even and odd functions:

If for every value of x, f(x) = f(-x), the function is even.

If for every value of x, f(x) = -f(x), the function is odd.

If those statements are false, the function is neither even nor odd.

In this question:

g(x) = x^{3}

g(-x) = (-x)^{3} = -x^{3} = -g(x)

Since g(x) = -g(-x), the function g(x) is odd.

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Step-by-step explanation:

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