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kondaur [170]
3 years ago
15

Arrange the parabolas with respect tonthe postion of their vertices from left to right

Mathematics
1 answer:
agasfer [191]3 years ago
6 0

Answer:

The correct answer for this question is this one:


If the x position of the vertex for f(x) is k then : 


1. f(k) => 4x+3=k, x = (k-3)/4 = (k/4)-(3/4) 

2. x = k+3 

3. x = (k+1)/2 = (k/2)-(1/2) 

4. x = 2(k+2) = 2k+4 

5. x = k+7 

6. x = k-3 

7. x = k-2 


So the order depends on the original position of the vertex k, e.g for k=0 the positions would be: 


1. -3/4 

2. 3 

3. -1/2 

4. 4 

5. 7 

6. -3 

7. -2 


So, therefore, the order would be 6 7 1 3 2 4 5



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What is the solution to the equation 1/4x-1/8=7/8+1/2x?​
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Answer:

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Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

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P(birth that result in a birth defect) = 1/33

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Now,

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Now,

P(X ≥ 490) = \sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}

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