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2 years ago

What are the excluded values of x for x^2-9x/x^2-7x-18

2 answers:

8 0

The expression is $\displaystyle{\frac{x^2-9x}{x^2-7x-18}$ .

The excluded values are those values of x for which the denominator, $x^2-7x-18$ , becomes zero.

So, we need to factorize the expression $x^2-7x-18$ .

To factorize the expression, we can use the grouping method. Write -7x as -9x+2x to create 4 terms, as follows:

$x^2-7x-18=(x^2-9x)+(2x-18)=x(x-9)+2(x-9)$ .

The, factorizing (x-9), we have (x-9)(x+2).

This expression becomes 0 for x=-2, or for x=9.

Answer: {-2, 9}

erma4kov [3.2K]2 years ago

8 0

Answer:

option c

Step-by-step explanation:

im taking the test Ω

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Below is the five-number summary for 144 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of

bearhunter [10]

Answer:

The IQR is given by:

$IQR = Q_3 -Q_1 = 28-18= 10$

If we want to find any possible outliers we can use the following formulas for the limits:

$Lower= Q_1 - 1.5 IQR$

$Upper= Q_3 + 1.5 IQR$

And if we find the lower limt we got:

$Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3$

$Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43$

So then the left boundary for this case would be 3 days

Step-by-step explanation:

For this case we have the following 5 number summary from the data of 144 values:

Minimum: 9 days

Q1: 18 days

Median: 21 days

Q3: 28 days

Maximum: 56 days

The IQR is given by:

$IQR = Q_3 -Q_1 = 28-18= 10$

If we want to find any possible outliers we can use the following formulas for the limits:

$Lower= Q_1 - 1.5 IQR$

$Upper= Q_3 + 1.5 IQR$

And if we find the lower limt we got:

$Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3$

$Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43$

So then the left boundary for this case would be 3 days

6 0

2 years ago

A group of 6 men and 6 women is randomly divided into 2 groups of size 6 each. What is the probability that both groups will hav

Gnom [1K]

Answer:

0. 4329

Step by step explanation

Since both groups will have the same number of men, we would guarantee each group consists of three women and three men.

So theprobability is (6, 3)·(6, 3)/(12, 6)=100/231.

6 0

2 years ago

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On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negat

Romashka-Z-Leto [24]

Given:

Line P Q has points (-5, 3) and (5, 1).

Line R S has points (-4, -2) and (0, -4).

To find:

The relationship between lines PQ and RS.

Solution:

If a line passing through two points, then the slope of line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Line P Q has points (-5, 3) and (5, 1). So, slope of line PQ is

$m_1=\dfrac{1-3}{5-(-5)}$

$m_1=\dfrac{-2}{5+5}$

$m_1=\dfrac{-2}{10}$

$m_1=\dfrac{-1}{5}$

Line R S has points (-4, -2) and (0, -4). So, slope of line RS is

$m_2=\dfrac{-4-(-2)}{0-(-4)}$

$m_2=\dfrac{-4+2}{0+4}$

$m_2=\dfrac{-2}{4}$

$m_2=\dfrac{-1}{2}$

Slopes of two parallel lines are equal.

$m_1\neq m_2$

They are not parallel because their slopes are not equal.

Therefore, the correct option is C.

3 0

2 years ago

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Researchers are studying populations of two squirrels, the eastern gray and the western gray. For the eastern gray squirrel, abo

Tresset [83]

Answer:

p₁ - p₂ = ( -0,28 . 0 )

Step-by-step explanation:

Eastern gray squirrel

Sample size n₁ = 60

p₁ = 22 % p₁ = 0,22 then q₁ = 1 - 0,22 q₁ = 0,88

Western gray squirrel

Sample size n₂ = 120

p₂ = 36% p₂ = 0,36 Then q₂ = 1 - 0,36 q₂ = 0,64

p (s) = ( p₁ - p₂ ) /√ (p₁*q₁ ) / n₁ + (p₂*q₂/ n₂)

p(s) = ( 0,22 - 0,36 ) /√ (0,22*0,88)/60 + ( 0,36*0,64)/120

p(s) = -0,14 /0,071

p(s) = - 1,9718

Then

CI = ( p₁ - p₂ ) ± p(s) *EED

EED = /√ (p₁*q₁ ) / n₁ + (p₂*q₂/ n₂) = 0,071

CI = ( - 0,14 ± 1,9718 * 0,071 )

CI = ( - 0,14 ± 0,14 )

CI = ( - 0,28 ; 0 )

we will find with 95% of confidence the mean of the sampling distribution of the difference in sample proportion in the interval ( -0,28 , 0 )

p₁ - p₂ = ( -0,28 . 0 )

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2 years ago

A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions ans

solmaris [256]

Hello!

To solve this we have to find what 82% of 50 is

So we do 50 * 0.82 where 0.82 is 82% as a decimal.

This gives us 41

So the answer is D

Hope this helps!

8 0

2 years ago

Read 2 more answers