Quadrilateral ABCD is rotated 270° clockwise about the origin. What is the orientation of the rotated figure, and what quadrant
2 answers:
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Answer:
• The function f is increasing to the left of -4 (-∞ , -4]
• The function f is decreasing to the right of -4 [-4 , +∞)
Step-by-step explanation:
f(x) = -(x+6)(x+2)
= -(x² + 2x + 6x + 12)
= -(x² + 8x + 12)
= -x² - 8x - 12
The leading coefficient is -1 (<em>the coefficient of the highest term -x² of the trinomial</em>)
Then
The parabola opens downward.
………………………………………
Then
The function f is increasing to the left of -4 (-∞ , -4]
The function f is decreasing to the right of -4 [-4 , +∞)
The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.
<h3>What is the average annual rainfall?</h3>Generally, the equation for the probability is mathematically given as
Therefore
The z score for the probability of 0.979 is 2.034, according to the table of z values.
In the given equation, replace the values of mu and sigma with their respective values, and then solve for x.
In conclusion, The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.
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