X is greater than or equal to 5
The average rate of change of the function is -35/16.
<h3>How to find the average rate of change of the function?</h3>
We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ 8.
so
at x₁ = -8, f(x₁) = f(-8) = 30
at x₂ = 8, f(x₂) = f(8) = -5
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [f(8) - f(-8) ] / [8-(-8)]
= [-5 - (30)] / [16]
= [-35] / 16
Therefore, the average rate of change of the function is -35/16.
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Answer:
total number of brown sugar cubes = 3
total number of white sugar cubes = 1
total number of sugar cubes = total no of brown sugar cubes + total no of white sugar cubes = 3 + 1 = 4
probability to select one brown sugar cube = total number of brown sugar cube / total number of sugar cube = 3/ 4
therefore the probability of selecting a brown sugar cube is 3/4 or 0.75