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4 years ago

What are the discontinuities of the function f(x) = x^2+2x-24/6x+24?

Mathematics

1 answer:

JulsSmile [24]4 years ago

5 0

Answer:

a vertical asymptote at x=-4

Step-by-step explanation:

$f(x)=\dfrac{x^2+2x-24}{6x+24}=\dfrac{(x+6)(x-4)}{6(x+4)}$

The binomial denominator factor is not canceled by a numerator factor, so represents a vertical asymptote at x=-4. That is the only discontinuity

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How many vertices does a polyhedron have with 5 faces 3 rectangles and two triangles

steposvetlana [31]

Answer:

It has six vertices.

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4 years ago

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

wariber [46]

Answer:

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$

Step-by-step explanation:

Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:

X 1060 1400 1620

P(X) 0.5 0.1 0.4

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$

3 0

3 years ago

The crew on a fishing boat caught four fish that weighted total of 1092 pounds the tarp on way twice as much as the amberjack an

Andrew [12]

Five times the weight

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4 years ago

You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the exper

Blababa [14]

5 questions each 4 choices guess 3 out of 5 correctly?

5*4=20 20/3=6.67 , My guess is that the outcome of you probably getting 3 / 5 correct is a 79.9 percent chance.

3 0

3 years ago

Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes?

Sav [38]

Answer:

100 meters 20/5=100

Not sure about the second one

hope this helps

Step-by-step explanation:

8 0

4 years ago