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s344n2d4d5 [400]
3 years ago
15

Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?

Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

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

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that a = -3, b = 3

f(x) = x^2 + 3x + 6

So

f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24

f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6

Average rate of change

A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5

The average rate of change of the function over the interval is 5.

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Answer:

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

Step-by-step explanation:

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The mean of the batch is the sum of all values divided by the number of items. So

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Mean in the desired interval.

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Square root of the sum of the difference squared between each term and the mean, divided by the number of items. So

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7 0
3 years ago
HELP PLSS WILL GIVE BRAINLIEST<br> Solve N = 3rt^4 - 5rz <br> (solve for z)
Whitepunk [10]

Answer:

Step-by-step explanation:

N = 3rt^4 - 5rz

now factor r out

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\frac{(n/r)-3t^4}{-5} = z

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Answer:

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Step-by-step explanation:

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