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ExtremeBDS [4]
2 years ago
13

Find the average rate of change of the function f(x) = 1/x-2 between the given points x = 4 and x = 8​

Mathematics
1 answer:
Sedbober [7]2 years ago
7 0

If <em>f(x)</em> = 1/<em>x</em> - 2, then the average rate of change between <em>x</em> = 4 and <em>x</em> = 8 is

(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = ((1/8 - 2) - (1/4 - 2)) / 4 = -1/16

If you meant <em>f(x)</em> = 1/(<em>x</em> - 2), then it would be

(<em>f</em> (8) - <em>f</em> (4)) / (8 - 4) = (1/(8 - 2) - 1/(4 - 2)) / 4 = (1/6 - 1/2) / 4 = -1/12

<em>Make sure to check which one is the correct function!</em>

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Explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)​
laiz [17]

The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

  • (200 + 40 + 16) + 4 = 4 +  (200 + 40 + 16)

Using the distributive law;

  • 4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

​Learn more on  partial sum  here: brainly.com/question/6958503

4 0
2 years ago
Find the measure of the missing angle *
lubasha [3.4K]

Answer:

21°

Step-by-step explanation:

we know that every single triangle has to equal 180°

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6 0
2 years ago
The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be
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μ = 97

Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions.  This means the standard deviation of the average x is

σ = 17/√n

We want to be 95% certain

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By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that

μ - 2σ ≤ x ≤ μ + 2σ

Comparing to what we want, that's means we have to solve

2σ = 5

2 (17/√n) = 5

√n = 2 (17/5)

n = (34/5)² = 46.24

We better round up.

Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean

6 0
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