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Nimfa-mama [501]
3 years ago
12

Simplify. x-2/(x^2+4x-12)

Mathematics
1 answer:
Serhud [2]3 years ago
6 0
In order to solve this you need to factor the denominator. 
x^2 +4x - 12
I see that 12 is a product of 6 and 2 and 4 and 3 and 1 and 12.
I pick the two products that, when added together, give me the 4x term.
Here it's 6 and two I just need to make one of them a negative.
now put them in this form:
(x + 6)(x-2) 
In the fraction I see that there is an x-2 in the numerator. This can cancel out with the x-2 in the denominator. Now you have 1/x-6 but remember you can never have a zero in the denominator so x can't equal -6. 
And you're done!

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Step-by-step explanation:

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Answer:

Probability of picking an even and then even number = \frac{1}{6}

Step-by-step explanation:

Probability of picking a card with even number,

P(even 1) = \frac{\text{favorable outcomes}}{\text{Total outcomes}} = \frac{\text{even cards}}{\text{Total number of cards}}

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Followed by picking a card which is even without putting the first card back.

So an even card is to be picked out of remaining 3 cards.

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Now probability of both events = P(even 1) × P(even 2)

= \frac{1}{2}\times \frac{1}{3}

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Read 2 more answers
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