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A function assigns the values. The average rate of change for the given function g(x) is 1.
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
The average rate of change of a function is given by the formula,
Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]
Where a is the lower limit and b is the upper limit.
Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,
a = 0
g(a) = 0²+10(0)+20 = 20
b = -9
g(b) = (-9)²+10(-9)+20 = 11
The average rate of change for the function g(x), can be written as,
Hence, the average rate of change for the given function g(x) is 1.
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Answer:
Step-by-step explanation:
We have three similar triangles:
therefore the sides are in proportion:
We have AD = a, CD = 16 and BD = 4. Substitute:
<em>cross multiply</em>
and other proportion:
We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:
<em>cross multiply</em>
