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Dmitriy789 [7]
3 years ago
14

Im getting brain damage doing this question pls help

Mathematics
1 answer:
EastWind [94]3 years ago
4 0

Answer:

See below and attachment

Step-by-step explanation:

<u>Given function:</u>

  • y = -2(x - 3)² + 4

<em>The graph is attached and the axis of symmetry and all the required points plotted </em>

a) Axis of symmetry:

  • x = 3

b) It has no minimum as the leading coefficient is negative.

  • Maximum value is at vertex- the point (3, 4).
  • Maximum value is y = 4

c) and d) x - and y - intercepts already given in the question

e) Domain is all real numbers. x = ( -∞, +∞ )

Range is y = ( - ∞, 4]

You might be interested in
Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? A. 90 degrees clockwise rotation B. 180 degrees
andreyandreev [35.5K]

Answer:

The correct option is;

A. 90 degrees clockwise rotation

Step-by-step explanation:

From the given information, we have;

The coordinates of the pre-image is K(-6, 9)

The coordinates of the image is k'(9, 6) which is similar to a transformation of a pre-image of (x, y) to an image of (y, -x)

The transformation from (x, y) to (y, -x) can be obtained from either;

1) A rotation of 90° (clock wise)

2) A rotation of 270° counter clockwise

Therefore, the correct option that maps K(-6, 9) to K'(9, 6) is a 90 degrees clockwise rotation.

4 0
3 years ago
At least 96.00​% of the data in any data set lie within how many standard deviations of the​ mean? Explain how you arrived at yo
zheka24 [161]

The answer assumes that the question is about the <em>normal distribution</em>.

Answer:

96% of the data in any data set <em>normally distributed</em> is 2.05 <em>standard deviations</em> <em>above</em> and <em>below</em> the mean.

Step-by-step explanation:

The key to solving this question is having into account that exists the <em>standard normal distribution</em> that permits obtaining any probability from any normally distributed data, doing the following transformation:

\\ z = \frac{x-\mu}{\sigma}

That is, in this case, we subtract a given value <em>x</em> from the <em>population mean</em> and then divide the result by the <em>population standard deviation</em>. This is a z-score, and this value is associated with the probability for a <em>standard normal distribution</em>, with a population mean = 0 and population standard deviation = 1.

Fortunately, for the <em>standard normal distribution</em>, there is associated a ubiquitous <em>standard normal table</em> for possible values of <em>z</em> and the corresponding probability. Then, knowing that the data are <em>normally distributed</em> and having both distribution <em>parameters</em>, namely, the <em>population mean</em> and <em>population standard deviation</em>, we can consult any standard normal table to find the probabilities for any data distributed following the normal distribution.

However, even without previously know the values of the normal parameters, the standard normal distribution can tell us how many standard deviations from the mean are 96.00% of the data for every normally distributed population.

<h3>Solving the question</h3>

Having all this information at hand, we know that <em>the z-score value tells us how many standard deviations</em> <em>from the mean</em> are the data normally distributed. As a result, we can determine how many standard deviations below and above the population mean represent the 96.00% of the cases for this normal distribution consulting a <em>cumulative standard normal table from the mean</em>.

If we divide 96.00/2 = 48, that is, 0.48, we need to find the z-score for this probability consulting a <em>cumulative standard normal table from the mean</em>. The values for a z-score for that probability is z=2.05, approximately. So, since the normal distribution is also symmetrical, those values are above and below the mean, that is, z =2.05 (above) and z=-2.05(below).

Thus, 96% of the data in any data set normally distributed is 2.05 <em>standard deviations</em> <em>above</em> and <em>below</em> the mean.  

 

5 0
3 years ago
X=8, 9, 10 i need help please
gogolik [260]

Answer:

idont know answer

Step-by-step explanation:

male morning esfg

6 0
3 years ago
Show a rectangle that is 1/2 meters long and is 3/10 meters wide
andreev551 [17]
        ________________   
        
I                                  I                     not drawn to scale
3/10 I                                  I 
        I                                  I  
        I                                  I
        ________________I   
                     1/2
3 0
3 years ago
Catie earned $3,511.95 last month. She used 3/5 of her earnings to pay her bills. With the remaining money she bought two skirts
andrew11 [14]

Answer:

Amount \ left = 1345.81

Step-by-step explanation:

Total  \  earning = T= $3,511.95

Spent \ on \  Bills = B = \frac{3}{5} T = 2107.17

Remaining  \ amount = R = T-B = $3,511.95 - 2107.17\\R = 1404.78

Spent \ on \ Shopping = S = 2($21.99) + $14.99\\S = 58.97

Amount \ left = L = R - S\\Amount \ left = 1404.78 - 58.97\\Amount \ left = 1345.81

5 0
3 years ago
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