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umka21 [38]
3 years ago
15

Vertex form of y=x^2-4x-9

Mathematics
1 answer:
Scrat [10]3 years ago
3 0
Complete the square
first isolate x terms
y=(x^2-4x)-9
complete square inside (take 1/2 of square of b )
-4/2=-2, (-2)^2=4
add 4-4 inside
y=(x^2-4x+4-4)-9
complete the square
y=((x-2)^2-4)-9
y=(x-2)^2-4-9
y=(x-2)^2-13
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2h−3=3

Step 1: Add 3 to both sides.

2h−3+3=3+3

2h=6

Step 2: Divide both sides by 2.

2h/2 = 6/2

h = 3.

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<h3>What is probability of an event?</h3>

It is the ratio in an event of the number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus, he probability of failure of a event is equal to the difference of the 1 to the success of the event.

Mickey tosses a coin 50 times and records 27 heads. Thus, the probability of getting a head is,

P=\dfrac{27}{50}\\

The probability of not getting a head or getting a tail is,

P^{-1}=1-\dfrac{27}{50}\\P^{-1}=\dfrac{50-27}{50}\\P^{-1}=\dfrac{23}{50}

Now, Mickey tosses the same coin three more times. The probability of getting three tails in these tosses are,

P_{3t}=\dfrac{23}{50}\times\dfrac{23}{50}\times\dfrac{23}{50}\\P_{3t}=\dfrac{12167}{125000}

Thus, the probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.

Learn more about the probability here;

brainly.com/question/24756209

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