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nexus9112 [7]
1 year ago
12

Shannon graphed the system of equations. 7x – 4y= –8 y = x – 3 What is the closest approximate solution to the system of equatio

ns? (–5, –7.2) (–5, –6.8) (–5, –6.2) (–5, –5.9)

Mathematics
2 answers:
Butoxors [25]1 year ago
5 0
The graph shows the solution of your equations is
.. (x, y) = (-6 2/3, -9 2/3)

The closest point to that of the choices offered is (-5, -7.2).

___
The offered "approximations" are not very good approximations.

Licemer1 [7]1 year ago
5 0

we have

7x-4y=-8 -------> equation A

y=x-3 ------------> equation B

we know that

The solution of the system of equations is the intersection point both graphs

so

Using a graphing tool

see the attached figure

The solution is the point  (-6.7,-9.7)

therefore

<u>the answer is</u>

the closest approximate solution to the system of equations is (-5,-7.2)

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If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –5 – 6i 5 – 6i 6 – 5i 6
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Read 2 more answers
A population that consists of 500 observations has a mean of 40 and a standard deviation of 15. A sample of size 100 is taken at
Alex17521 [72]

Answer:

<h3>The option D) 1.50 is correct</h3><h3>That is the standard error of the sample mean is 1.50</h3>

Step-by-step explanation:

Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.

A sample size is 100  taken at random from the given population.

<h3>To find the standard error of the sample mean :</h3>

From the given Mean=40 and \sigma =15

For N=100

<h3>The formula for standard error is SE_{mean}=\frac{\sigma}{\sqrt{N}}</h3>

Substitute the values in the above formula we get

SE_{mean}=\frac{15}{\sqrt{100}}

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∴ SE_{mean}=1.50

<h3>∴ The standard error of the sample mean is 1.50</h3><h3>Hence the option D) 1.50 is correct</h3>
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2 years ago
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iren2701 [21]

Answer:

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Step-by-step explanation:

Here we want to calculate the number of minutes ran in total.

Kindly note that;

Time = distance/speed

Her starting speed is 10 miles/hour

but she ran for 12 minutes.

Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour

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Time spent here is 3/6 = 0.5 hours which is same as 30 minutes

Total time spent = 30 + 12 = 42 minutes

8 0
2 years ago
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