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4 years ago

The graph of the function, f(x) = - x2 - 3x + 1, opens and has a, value.

Mathematics

2 answers:

faust18 [17]4 years ago

8 0

Answer:

Opens downwards and has a maximum value

Step-by-step explanation:

f(x) = -x² - 3x + 1

a is the coefficient of x², which is -1

Since a < 0, it's a concave down graph which opens downwards. Therefore it has a maximum turning point

frosja888 [35]4 years ago

6 0

Answer:

downward, maximum value

Step-by-step explanation:

f(x) = - x^2 - 3x + 1

The negative in front of the x^2 means the graph opens downwards

The y intercept is 1

Because it opens downward it has a maximum value

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A study of the effect of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to

nordsb [41]

Answer:

The group that has greater value of relative dispersion is the smokers group, as the coefficient of variationof their data is bigger than the coefficient of variation of the non-smokers group data.

CV smokers: 0.387

CV non-smokers: 0.234

Step-by-step explanation:

We will calculate the relative dispersion of each data set with its coefficient of variation (ratio of the standard deviation to the arithmetic mean).

Then, first we calculate the mean and standard deviation for the smokers data:

Mean: 43.7

Standard deviation: 286.5

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The mean and standard deviation for the non-smokers is:

Mean: 30.3

Standard deviation: 50.9

$M_n=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_n=\dfrac{1}{15}(28.6+25.1+26.4+34.9+28.8+. . .+13.9)\\\\\\M_n=\dfrac{453.8}{15}\\\\\\M_n=30.3\\\\\\s_n=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_n)^2\\\\\\s_n=\dfrac{1}{14}((28.6-30.3)^2+. . . +(13.9-30.3)^2)\\\\\\s_n=\dfrac{713.3}{14}\\\\\\s_n=50.9\\\\\\$

Now, we can calculate the coefficient of variation:

CV smokers:

$CV_s=\dfrac{s_s}{M_s}=\dfrac{16.9}{43.7}=0.387$

CV non-smokers:

$CV_n=\dfrac{s_n}{M_n}=\dfrac{7.1}{30.3}=0.234$

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4 years ago

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Answer:

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3 years ago

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Andrei [34K]

Answer:

-3

Step-by-step explanation:

5x + 15 = 1x + 3

Add -1x and -15 on both sides.

5x - 1x = 3 - 15

4x = -12

Divide 4 into both sides.

4x/4 = -12/4

x = -3

The solution for the equation is x = -3.

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