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3 years ago

H(x)= (x^2 -36)/x +6 explain why the following function is not continuous at x=-6

Mathematics

1 answer:

sergeinik [125]3 years ago

8 0

You can solve this problem through factoring.

First, you have the equation,

$h(x) = \frac{x^2-36}{x-6}$

Then, you can factor the numerator.

$h(x) = \frac{(x+6)(x-6)}{x-6}$

You can cancel out the x-6 in both the numerator and the denominator because they would equal to just 1.

You are left with $h(x) = x+6$

The function is removable noncontinuous at x=6 because if you plug in 6 in x-6, your denominator would be undefined.

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3 years ago

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Which of the following describe the cohesion of workers in a given unit or department, to their commitment to their individual g

ruslelena [56]

Answer:

The correct answer for Which of the following describe the cohesion of workers in a given unit or department, to their commitment to their individual goals and to their coworkers even in the face of adversity, and to the pride that one feels by being a member of the organization is Esprit De Corp

Step-by-step explanation:

Esprit De Corp is a french word that is translated to mean "group spirit".

It became a popular phrase in management when Henri Fayol added it to his fourteen principles of management concept.

Henri Fayol was a had a successful career in a mining company between the end of the 19th century until the early 20th century.

From his experience from a junior staff all the way to the Managing Director, he coined Esprit De Corp as a Principle.

"The principle states that an organization must make every effort to maintain group cohesion in the organization. It notes that dividing your competition is a clever tactic, but dividing your own team is a serious error".

Esprit De Corp fosters the cohesion of workers in their departments and engenders the commitment to achieve set goals and support for colleagues even in the face of adversity thereby breeding a kindred spirit.

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3 years ago

Whats 4(x - 6y) useing the distriutive property

konstantin123 [22]

4(x) - 4(6y)
4x - 24y

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4 years ago

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Use the matrix method to solve the system of equations 2x + 4y = 8 and 6x + 3y = -3. The resulting matrix is:

mestny [16]

The calculator function that puts the augmented matrix

$\left[\begin{array}{cc|c}2&4&8\\6&3&-3\end{array}\right]$

into reduced row-echelon form will give you an identity matrix in the left columns and the solution in the rightmost column:

$\left[\begin{array}{ccc}1&0&-2\\0&1&3\end{array}\right]$

This corresponds to the first selection.

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3 years ago

Consider the following set of sample data: 21, 24, 25, 32, 35, 31, 29, 28. Which of the following will give a 95% confidence int

IgorLugansk [536]

Answer:

(15.23,41.016)

Step-by-step explanation:

WE must determine the mean of the data set: Which is the sum of the set divided by the number in the set.

$=(21+24+25+32+35+31+29+28)/8=225/8=28.125$

We must also determine the standard deviation: Which is the square root of the variance and the variance is the sum of squares of the sample number minus the mean divided by the number if the set data:

$=((21-28.125)^2+(24-28.125)^2+(25-28.125)^2+(32-28.125)^2+(35-28.125)^2+(31-28.125)^2+(29-28.125)^2+(28-28.125)^2)/8$

$=148.877/8=18.6$

The 95% confidence interval is defined as: The mean ± 1.96*standard deviation divided by the sqaure root of the number of data in the set:

$=28.125+(1.96\cdot{18.6})/(\sqrt{8})$

$=41.016$

$=28.125-(1.96\cdot{18.6})/(\sqrt{8})=15.23$

The confidence interval for this data set is (15.23,41.016)

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3 years ago