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castortr0y [4]
3 years ago
8

Find the vertex for the equation: y=-2x^2+16x-31

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

Vertex is (4,1)

Step-by-step explanation:

x=-b/2a so you need to first divide the b (second term) by the a (first term) so you should get 1 as your new a and -8 as your new b. Negative (-8) is just 8 then divide that by 2(1) which is just 2 which equals 4. That is your x. To find your y, you plug your x back into the original equation and then solve it. Hope this helps!

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Now, you will consider Option 1, setting a maximum shower time of 10 minutes.
matrenka [14]

The maximum shower time is an illustration of mean and median, and the conclusion is to disagree with Blake's claim

<h3>How to interpret the shower time?</h3>

The question is incomplete, as the dataset (and the data elements) are not given.

So, I will answer this question using the following (assumed) dataset:

Shower time (in minutes): 6, 7, 7, 8, 8, 9, 9, 9, 12, 12, 12, 13, 15,

Calculate the mean:

Mean = Sum/Count

So, we have:

Mean = (6+ 7+ 7+ 8+ 8+ 9+ 9+ 9+ 12+ 12+ 12+ 13+ 15)/13

Mean = 9.8

The median is the middle element.

So, we have:

Median = 9

From the question, we have the following assumptions:

  • The shower time of students whose shower times are above 10 minutes, is 10 minutes
  • Other shower time remains unchanged.

So, the dataset becomes: 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10

The mean is:

Mean = (6+ 7+ 7+ 8+ 8+ 9+ 9+ 9+ 10+ 10+ 10+ 10+ 10)/13

Mean = 8.7

The median is the middle element.

So, we have:

Median = 9

From the above computation, we have the following table:

               Initial    Final

Mean         9.8        8.7

Median       9         9

Notice that the mean value changed, but it did not go below 8 as claimed by Blake; while the median remains unchanged.

Hence, the conclusion is to disagree with Blake's claim

Read more about mean and median at:

brainly.com/question/14532771

#SPJ1

5 0
2 years ago
Express the following quantities as ordinary decimal numbers: (use solution)
MissTica

Step-by-step explanation:

6.130 \times  {10}^{9}  = 9130000000

6 0
3 years ago
Sketching a Hyperbola In Exercises 19-32, find the center, vertices, foci, and the equations of the asymptotes of the hyperbola.
zlopas [31]

Step-by-step explanation:

her this is the answer for the question

7 0
2 years ago
Help please please help
Semenov [28]

Answer:

Step-by-step explanation:

1,8

5,7

2,3

3 0
3 years ago
Read 2 more answers
Noah pays $25.20 for non-perishable food items to give to the local homeless shelter the price includes a 5% sales tax.
Alexandra [31]

The question is incomplete:

Noah pays $25.20 for non perishable food items to give to the local homeless shelter the price includes a 5% sales of tax. what is the price before tax of the food items?

Answer:

$24

Step-by-step explanation:

From the information you have that the price of items is $25.20 and it includes a 5% tax. From this, you can write the following:

x+0.05x=25.20

Then, you can isolate x to find the price before tax:

1.05x=25.20

x=25.20/1.05

x= 24

According to this, the price before tax of the food items is $24.

5 0
3 years ago
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