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Aleksandr-060686 [28]
3 years ago
14

Write a quadratic function with zeroes 0 and 8.

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

Answer:

x^2-8x=0

Step-by-step explanation:

the quadratic function should be as follows:

x^2-8x=0

Now let's confirm that the zeros of the function are 0 and 8

x^2-8x=0=x(x-8)=0

Therefore we can see that if x = 0

0^2*8*0=0\\0=0

the equation is fulfilled

And we also have (x-8)

for this expresion to be equal to zero:

x-8=0\\x=8

thus, if x = 8

8^2-8*8=0\\64-64=0\\0=0

the equation is also fulfilled

The zeros of the quadratic function x^2-8x=0 are 0 and 8.

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Answer:

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Step-by-step explanation:

2/3 of 30 = 20 students

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<h2>2</h2>

Step-by-step explanation:

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3 years ago
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3 years ago
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The length of the rectangle is 9 inches. The area is 72 square inches. What is the width of the rectangle?
mote1985 [20]

Answer:

8

Step-by-step explanation:

Formula for area = Length times width

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4 0
3 years ago
Dora calculated the mean absolute deviation for the data set 35, 16, 23, 42, and 19. Her work is shown below.
Crazy boy [7]

Answer:

The calculation in step 3 is wrong

Step-by-step explanation:

1) The mean of a dataset is given by the sum of the values of the dataset divided by the number of values.

In this problem, the dataset is

35, 16, 23, 42, 19

And the number of data is

N = 5

So the mean is

\bar x=\frac{35+16+23+42+19}{5}=27

So, step 1 is correct.

2)

The absolute deviation of a value in the dataset is the absolute value of its difference from the mean value:

\sigma_i = |x_i-\bar x|

Since here the mean value is

\bar x=27

Then for each of the values in this dataset, we have:

\sigma_{1}=|35-27|=8\\\sigma_{2}=|16-27|=11\\\sigma_{3}=|23-27|=4\\\sigma_{4}=|42-27|=15\\\sigma_{5}=|19-27|=8

So calculations in step 2 are also correct.

3)

The mean absolute deviation is given by the sum of the absolute deviations for each data divided by the number of values in the dataset.

Therefore in this problem, it is:

\bar \sigma = \frac{\sum \sigma_i}{N}=\frac{8+11+4+15+8}{5}=9.2

While the result reported by Dora is 9.5: therefore, this step is not correct.

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2 years ago
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