Webster defines risk as "the possibility of loss or injury". Therefore, driving a motor vehicle is a risk.
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Using the knowledge in computational language in python it is possible to write a code that from a random number draw creates an order of increasing numbers
<h3>Writting the code in python:</h3>
<em>def shellSort(array, n):</em>
<em> # Rearrange elements at each n/2, n/4, n/8, ... intervals</em>
<em> interval = n // 2</em>
<em> while interval > 0:</em>
<em> for i in range(interval, n):</em>
<em> temp = array[i]</em>
<em> j = i</em>
<em> while j >= interval and array[j - interval] > temp:</em>
<em> array[j] = array[j - interval]</em>
<em> j -= interval</em>
<em> array[j] = temp</em>
<em> interval //= 2</em>
<em>data = [10,9,8,7,6,5,4,3,2,1]</em>
<em>size = len(data)</em>
<em>shellSort(data, size)</em>
<em>print('Sorted Array in Ascending Order:')</em>
<em>print(data)</em>
See more about python at brainly.com/question/18502436
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Answer:
The interval over which the graph is decreasing is;
(-∞, -3)
Explanation:
The given function is f(x) = 2·(x + 3)² + 2
By expanding the function, we have;
2·x² + 12·x + 20
From the characteristics of a quadratic equation, we have;
The shape of a quadratic equation = A parabola
The coefficient of x² = +2 (positive), therefore the parabola opens up
The parabola has a minimum point
Points to the left of the minimum point are decreasing
The minimum point is obtained as the x-coordinate value when f'(x) = 0
∴ f'(x) = d(2·x² + 12·x + 20)/dx = 4·x + 12
At the minimum point, f'(x) = 4·x + 12 = 0
∴ x = -12/4 = -3
Therefore;
The graph is decreasing over the interval from -infinity (-∞) to -3 which is (-∞, -3)
Please find attached the graph of the function created with Microsoft Excel
The graph is decreasing over the interval (-∞, -3).
