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Anna35 [415]
3 years ago
13

The table of values represents a polynomial function f(x).

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

  1500

Step-by-step explanation:

The average rate of change of a function on the interval [a, b] is given by ...

  rate of change = (f(b) -f(a))/(b -a)

On the interval [7, 9], the average rate of change is ...

  (5760 -1920)/(9 -7) = 3840/2 = 1920

On the interval [4, 6], the average rate of change is ...

  (945 -105)/(6 -4) = 840/2 = 420

The rate of change on the first interval is greater by ...

  1920 -420 = 1500

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Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.

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