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3 years ago

Use the drawing tool(s) to form the correct answers on the provided graph.

Mathematics

2 answers:

Veronika [31]3 years ago

6 0

Answer:

(See attachment below)

Step-by-step explanation:

The following information is derived from the graphic:

X-Intercepts: (-3,0), (1,0)

Y-Intercepts: (0,-3)

Vertex: (-1,-4)

Axis of symmetry of the function: x = -1

anastassius [24]3 years ago

4 0

Answer:

See below in bold.

Step-by-step explanation:

This is the vertex form of a parabola which opens upwards.

To find the x intercept put h(x) = 0:

(x + 1)^2 - 4 = 0

(x + 1)^2 = 4

x + 1 = +/- 2

x = (-3, 0) an (1, 0) are the x-intercepts.

For the y-intercept we put x = 0

y = (0+1)^2 - 4 = -3

y-intercept = (0, -3).

The vertex is (-1, -4).

Axis of symmetry is x = -1.

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3 What is the y-intercept of the line with the equation Y = 1/2 - x - 3?

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Given Equation :

$y = \frac{1}{2} x - 3$

Which is in slope intercept form :

$y = mx + b$

Where :

m = slope

b = y-intercept.

Thus , in the given Equation , the y-intercept is -3

8 0

3 years ago

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me

Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

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 time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

$\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286$

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is $P(X = 2)$ . So:

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

$P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073$

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0

3 years ago

Write the quadratic equation of the parabola that passes through (-2,5) and has a vertex of (1,-3)

guapka [62]

-8/3x - 1/3 is the equation

6 0

3 years ago

I need help with this plz

Morgarella [4.7K]

Answer:

i would go with B

Step-by-step explanation:

I'm not too sure I'm so sorry but thats my closest guess

8 0

3 years ago

Naysha listens to the radio for five-sixths of an hour each day. which expressions represent the time naysha spends listening to

Yakvenalex [24]

The time Natasha listens to the radio can be represented as 7 times five sixths, 35/6 or 5/6 + 5/6 + 5/6 + 5/6 + 5/6.

<h3>How to find out the time Natasha listens to the radio in one week?</h3>

Time per day: 5/6 of an hour
Time per week: 5/6 + 5/6 + 5/6 + 5/6 + 5/6 = 35/6

or 5/6 x 7 = 35/6

<h3>How to represent this?</h3>

There are three options:

5/6 + 5/6 + 5/6 + 5/6 + 5/6
35/6
5/6 x 7

Learn more about fractions in: brainly.com/question/10354322

#SPJ1

5 0

2 years ago