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kykrilka [37]
3 years ago
12

Use these functions to evaluate the following problems: f(x) = x, g(x) = x - 3, h(x) = x^2 - 9, k(x) = 2x

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0

Answer:

(hk)(x) = 2x³-18x

(k/f)(x) = 2

(h/g)(x) = x+3

Step-by-step explanation:

(hk)(x)

(x² - 9)(2x)

2x³ - 18x

(k/f)(x)

2x/x

2

(h/g)(x)

(x² - 9)/(x - 3)

[x² - 3²]/(x - 3)

(x + 3)(x - 3)/(x - 3)

x + 3

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The point where the two diagonals meet is also the midpoint of both diagonals.

This means that AE = EC . Since we have the value for both segments, we have

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3 years ago
Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9300. Using
Hatshy [7]

Answer:

Range  = (237100, 292900)

Step-by-step explanation:

Using Chebyshevs Inequality:

P(|X - \mu | \le k \sigma )\ge 1  -\dfrac{1}{k^2}= 0.889

1  -\dfrac{1}{k^2}= 0.889

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\dfrac{1}{k^2}=0.111

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Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ  ±  kσ

where;

μ = 265000

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Range = 265000  ± 27900

Range =   (265000 - 27900, 265000 + 27900)

Range  = (237100, 292900)

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