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3 years ago

If 8x−4y=20 and 4x−8y=4, what is the value of x−y?

Mathematics

1 answer:

____ [38]3 years ago

5 0

Answer:

Step-by-step explanation:

Solve the system:

8x−4y=20

4x−8y=4

Reduce the first equation by dividing every term by -2:

-4x + 2y = -10

and then combine this result with the second equation:

4x−8y=4

-4x + 2y = -10

--------------------

-6y = -6, and so y = 1.

According to the first equation, if y = 1, then 4x - 8 = 4, or x = 3.

Then x = 3 and y = 1.

So, finally, x - y = 3 - 1 = 2

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In a typical children's soccer game, there is one goal scored approximately every 18 minutes. The number of goals scored follows

Alja [10]

Answer:

2.24

Step-by-step explanation:

The probability formula using a Poisson distribution is:

$P(k\ events) = \frac{\lambda^{k}e^{-\lambda}}{k!} \\\lambda\ is\ the\ average\ number\ of\ events\ per\ interval \\e\ is\ euler's\ number \\k\ is\ the\ number\ of\ events\ you\ want\ to\ calculate$

λ = 90 / 18 = 5 average goals per interval (interval = a game)

So if for example you were interested in the probability of making 2 goals in a game

k = 2

$P(k = 2) = \frac{5^{2}e^{-5}}{2!} = 0.084$

This was just an example,

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disa [49]

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Step-by-step explanation:

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3 years ago

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viva [34]

Answer is on a picture

5 0

3 years ago

All of the following statements about learning are true EXCEPT __

Rasek [7]

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3 0

3 years ago

Describe the solution of g(x) shown in the graph.

Ugo [173]

Answer:

All real solutions

Step-by-step explanation:

The given graph is a maximum quadratic function.
The solution to the graph is where the graph intersects the x-axis.
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The solutions are also not all points that lie on g(x)
The first choice is correct.

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3 years ago