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amm1812
3 years ago
7

Can anyone takes some time and help me with this please I'm struggling and I need help ​

Mathematics
1 answer:
Ahat [919]3 years ago
7 0

Answer:

10

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

here [ a, b ] = [1, 4 ]

f(b) = f(4) = 4² +5(4) = 16 + 20 = 36

f(a) = f(1) = 1² + 5(1) = 1 + 5 = 6, hence

average rate of change = \frac{36-6}{4-1} = \frac{30}{3} = 10

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We have the difference between 30 and x(our unknown value) is equal to 17; so we just simply set it up that way. Always think of x or any variable(like in your question they use p, it can be anything u want, it’s simply a representation of an unknown value we are trying to find)as your unknown and what operation they are implying as in this case it’s subtraction as they want the difference between 30 and x.

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