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2 years ago

Select the correct answer which graph is defined by f(x)= |x^2 -x-2|

Mathematics

1 answer:

Gnesinka [82]2 years ago

5 0

The graph of the absolute value function can be seen below.

<h3>How to get the graph of f(x)?</h3>

Here we have the absolute value function:

$f(x) = |x^2 - x -2|$

Notice that the argument of the absolute value function is a quadratic equation, then the graph of the function f(x) will be the graph of the quadratic equation, but such that the part below the horizontal axis is reflected.

Then the graph of the function is the one you can see below:

If you want to learn more about absolute value functions:

brainly.com/question/3381225

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A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the p

andreyandreev [35.5K]

Answer:

B) 0.894

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that $\mu = 0.55$

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577$

$P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894$

5 0

4 years ago

Of the following sets, which represents a function?

DedPeter [7]

Answer:

Only B

Step-by-step explanation:

so option B is correct

3 0

3 years ago

Read 2 more answers

3x+2=x+4(x+2) how do you do it step by step?

Katena32 [7]

Distribute 4 with x and 2 to get the equation 3x+2=x+4x+8. Combine x and 4x to get 5x. Minus 3x from each side. Now you should have 2=2x+8. Subtract 8 from both side to get -6=2x. Divide and you get x=-3

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3 years ago

How can you tell by looking at the coordinates of the two triangles that a’b’c’ is a 180 degrees rotation of abc

nikitadnepr [17]

Answer:

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y) → D

Note this only happens if the rotation is about the origin

7 0

3 years ago

Hello please help me i need it

azamat

Answer: 56

Step-by-step explanation: Area means multipilcation. You mulitply those numbers you get 56mi

8 0

3 years ago