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IceJOKER [234]
2 years ago
11

What is the simplified form of ether following expression ?

Mathematics
2 answers:
Nastasia [14]2 years ago
5 0
76828262638292827273737373 there
Sunny_sXe [5.5K]2 years ago
4 0

Answer:

C

Step-by-step explanation:

So we have the rational expression:

\frac{x^2-11x+30}{x^2-x-30}

We can factor the numerator and the denominator:

Numerator:

x^2-11x+30

Factor:

(x-5)(x-6)

Denominator:

x^2-x-30

Factor:

(x-6)(x+5)

Substitute:

\frac{x^2-11x+30}{x^2-x-30}\\=\frac{(x-6)(x-5)}{(x-6)(x+5)}

We can cancel out the (x-6). Thus:

=\frac{x-5}{x+5}

Our answer is C.

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Answer:

1. Let us proof that √3 is an irrational number, using <em>reductio ad absurdum</em>. Assume that \sqrt{3}=\frac{m}{n} where  m and n are non negative integers, and the fraction \frac{m}{n} is irreducible, i.e., the numbers m and n have no common factors.

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2. Let us prove now that the multiplication of an integer and a rational number is a rational number. So, r\in\mathbb{Q}, which is equivalent to say that r=\frac{m}{n} where  m and n are non negative integers. Also, assume that k\in\mathbb{Z}. So, we want to prove that k\cdot r\in\mathbb{Z}. Recall that an integer k can be written as

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Then,

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