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Oliga [24]
2 years ago
8

A. Transform each quadratic function into standard form. Identify the constants h and k. - 1) y = x2 + 10x – 13 2) y = x2 - 6x +

5 3) y = x2 - 2x + 3 4) y = x2 – 3x + 16 5) y = x2 – 18x – 9 6) y = 2x2 – 3x + 4 7) y = 3x2 - 12x - 4 8) y = 2x2 - 8x - 22 9) y = 3x2 + 6x - 1 10) y = 9x2 + 18x + 4 - -​
Mathematics
1 answer:
BaLLatris [955]2 years ago
4 0

1. (-5,-12)

2. (3,-4)

To identify the constant H and K

- You need to write the given equation in vertex form

- Use complete the square method to write in vertex form

- The vertex form is

a  (x - h)  ^{2}  + k

- after writing the equation in the world storm you can see that there is a h and a k

- Pull the h and the k in into (h,k)

I can't do all of it so I'll do 2 for you and with explanations.

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The following data were collected by counting the number of operating rooms in use atTampa general Hospital over a 20-day period
arlik [135]

Answer:

a)

Operating room x    1         2      3       4

P(x)                          0.15  0.25  0.4   0.2

b)

The graph of probability distribution is in attached image.

c)

All the probabilities lies in the range (0 to 1) and the probabilities add up to 1 so, the computed probability distribution is the valid probability distribution.

Step-by-step explanation:

Number of operating rooms   Days

1                                                  3

2                                                 5

3                                                 8

4                                                 4

a)

Sum of frequencies=1+2+3+4=10

Operating rooms x   frequency f  Relative frequency

1                                    3                    3/20=0.15

2                                   5                   5/20=0.25

3                                   8                   8/20=0.4

4                                   4                   4/20=0.2

So, using the relative frequency approach, a discrete probability distribution for number of operating rooms in use on any given day is

Operating room x    1         2      3       4

P(x)                          0.15  0.25  0.4   0.2

b)

The graph of probability distribution is in attached image.

c)

There are two conditions for a probability distribution to be valid

1. All probability must ranges from 0 to 1.

2. All probabilities must add up to 1.

We can see that all the probabilities lies in the range (0 to 1), so, condition 1 is satisfied.

For condition 2,

sum[p(x)]= 0.15+0.25+0.4+0.2=0.4+0.6=1.

As the probabilities add up to 1, so the condition 2 is also satisfied.

Thus, the computed probability distribution is the valid probability distribution.

7 0
3 years ago
Katie wants to collect over a hundred seashells she already has 34 seashells in her collection each day she finds 12 more seashe
strojnjashka [21]

Answer:

6

Step-by-step explanation:

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3 years ago
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A polygon is shown:
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Answer:

17

Step-by-step explanation:

5x3=15, that's the area of the larger square. Next, 2x1=2 is the area of the smaller one. (3-2=1 and 7-5=2)

17

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Evaluate 6x + 3y - 4, if x = 20 and y = 2.<br> ОА. 16<br> Ов. 20<br> Ос. 36<br> D 8
lord [1]

6x + 3y - 4

6(20)+3(2)-4

Do the brackets first.

120+6-4

120+2

122

Answer is 122

4 0
3 years ago
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