The correct statement regarding the function plotted in the graph is:
C) The maximum value of the quadratic function occurs at y = 4.
<h3>What is the rate of change of the linear function?</h3>
When x = 0, y = -7, and when x = -5, y = 8, hence the rate of change(change in y divided by change in x) is given by:
R = [8 - (-7)]/-5 - 0 = 15/-5 = -3
<h3>What is the maximum value of the quadratic function?</h3>
It is concave down, hence it has only a maximum value at y = 4 and not a minimum value, hence option C is correct.
More can be learned about functions at brainly.com/question/25537936
<h3>
Answer: 14</h3>
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Explanation:
The two angles shown are a linear pair. They are adjacent and supplementary.
Supplementary angles add to 180
(8x+1) + (4x+11) = 180
8x+1+4x+11 = 180
(8x+4x) + (1+11) = 180
12x+12 = 180
12x+12-12 = 180-12 ... subtract 12 from both sides
12x = 168
12x/12 = 168/12 ... divide both sides by 12
x = 14
The area of the trapezoid is the amount of space on it, and the value of the area is 16.5 square cm
<h3>How to determine the area?</h3>
The given parameters are:
Parallel sides = 3cm and 8 cm
Height = 3cm
The area is then calculated using:
Area = 0.5 * (Sum of parallel sides) * Height
So, we have:
Area = 0.5 * (3 + 8) * 3
Evaluate
Area = 16.5
Hence, the area of the trapezoid is 16.5 square cm
Read more about areas at:
brainly.com/question/24487155
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Answer: (-4, -7)
I dont know how to explain how I got that but I recommend using an app called Desmos. :)
