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Mkey [24]
3 years ago
7

Estimate the sum or difference 8/9 +4/7=

Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

1 29/63

Step-by-step explanation:

To add fractions, find the LCD and then combine.

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Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b
iVinArrow [24]

Answer:

m = 3b+6

Step-by-step explanation:

Given

f(x)=3x^2 - 9

Required

The average rate over [2,b]

Average rate (m) is calculated using:

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m = \frac{f(b) - f(2)}{b - 2}

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f(b)=3b^2 - 9

f(2)=3*2^2 - 9 = 12 - 9 = 3

So, we have:

m = \frac{f(b) - f(2)}{b - 2}

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Expand the numerator

m = \frac{3b^2 + 6b-6b-12}{b - 2}

Factorize

m = \frac{b(3b + 6)-2(3b+6)}{b - 2}

Factor out 3b + 6

m = \frac{(b -2)(3b+6)}{b - 2}

Cancel out b - 2

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