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yKpoI14uk [10]
3 years ago
10

Which best describes the solution set for the inequality below?

Mathematics
1 answer:
swat323 years ago
8 0

3x + 7 <_ 4x -8

Subtract 3x from both sides.

3x - 3x = 0x

4x - 3x = 1x (or just x)

7 <_ x -8

Add 8 to both sides.

7 + 8 = 15

-8 + 8 = 0

x _> 15 is the solution for the first inequality.

Although A.) is the only one with x_>15, let's continue to ensure our answer.

-2x + 3 _> 1

Subtract 3 from both sides.

3 - 3 = 0

1 - 3 = -2

-2x _> -2

Divide both sides by -2 to solve for x.

-2x / -2 = x

-2 / -2 = 1

Remember to flip the inequality when dividing or multiplying by a negative.

x <_ 1 is our other inequality.

Our answers are:

x_> 15 and x<_1

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Using the factor theorem, it is found that the polynomial is:

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Given by the first option

---------------------------

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} using the factor theorem it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

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In this question:

  • x_1 = 2
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Thus:

f(x) = (x - 2)(x - \sqrt{3})(x + \sqrt{3})

f(x) = (x - 2)(x^2 - 3)

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

Which is the polynomial.

A similar problem is given that: brainly.com/question/4786502

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2 years ago
3(y - 3) = -15<br> I really need help
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Answer:

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Step-by-step explanation:

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5(5+x) = 6(6+4)
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