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4 years ago

Solve 9x2 + 6 = 12x

Mathematics

1 answer:

Oksana_A [137]4 years ago

7 0

Step-by-step explanation:

9x² + 6 = 12x

3x² + 2 = 4x

3x² − 4x + 2 = 0

Use quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)

x = [ 4 ± √(16 − 24) ] / 6

x = [ 4 ± √(-8) ] / 6

x = (4 ± 2i√2) / 6

x = (2 ± i√2) / 3

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2 years ago

Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

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Answer:

$4.82\cdot 10^{-4}$

Step-by-step explanation:

In a deck of cart, we have:

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t = 4 (three)

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So, the probability of drawing an ace as first cart is:

$p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769$

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

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Therefore, the probability of drawing a three at the 2nd draw is

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Then, at the third draw, the previous 2 cards are not replaced, so there are now

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$p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08$

Therefore, the total probability of drawing an ace, a three and then a jack is:

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4 years ago

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