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BartSMP [9]
3 years ago
9

2x + 4y = 12 y = x – 3 What is the solution to the system of equations?

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0
2x+4y=12
y=x-3

Since we know what y equals, we can plug this into the first equation:
2x+4(x-3)=12
We can then distribute:
2x+4x-12=12
And solve for x:
6x-12=12
6x=24
x=4
We can then plug x into the second equation and find y:
y=x-3
y=4-3
y=1

Therefore x=4 and y=1
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Now plug the x value into 9x + 2

9(-1)+2) = -7

Hope that helps!

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2 years ago
What is the mean of the following set of data? Round your answer to two decimal places.
kolezko [41]
The mean is 73.44<span>

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You could've found this by adding up all the values in the data set, then dividing by how many numbers were in the data set!

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3 years ago
A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 15 minutes. Air traffic co
Sladkaya [172]

Answer:

y = (1/2)x + 15

Step-by-step explanation:

First, we need to identify the parts of the problem that we already know:

1) The pilot was originally scheduled to depart at 1600 (4:00 pm).

2) The pilot's departure was delayed by 15 minutes.

3) the traffic control approved a new flight plan that would allow the pilot to travel to her destination two times faster than her original flight plan.

For the problem's sake, let us pretend that the pilot's original flight plan was going to take two hours. Had he/she left at 4:00 pm, the pilot would have landed at 6:00 pm.

With a delay of 15 minutes, the duration of the flight would still remain constant, so the pilot would arrive at their destination two hours later, at 6:15 pm.

With the new flight plan, the pilot's travel time would be cut in half, so it would be 1/2 of x (time, in minutes, of original flight). Thus, her new flight time would only be one hour (60 minutes).

So, now we have to subtract 1/2 from the original flight time, as well as adding the 15 minute delay for departure. Now we can create a formula:

y = (1/2)x + 15

Y equals the total amount of time (in minutes) that it would take for the plane to leave. We divide x (total time of original flight) by 2, because her new flight plan will be twice as fast. Then we have to take into account the extra 15 minute delay!  

8 0
3 years ago
What inequality is shown on the graph?
Mamont248 [21]

Answer:

Hello  seansgirl1013!! I might be wrong but im pretty sure your answer is B!

Step-by-step explanation:

I hope this helps and remember your beautiful

8 0
2 years ago
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Since an instant replay system for tennis was introduced at a majorâ tournament, men challenged 1399 refereeâ calls, with the re
prohojiy [21]

Answer: The value of test statistic is 0.696.

Step-by-step explanation:

Since we have given that

n_1=1399\\\\x_1=411\\\\p_1=\dfrac{x_1}{n_1}=\dfrac{411}{1399}=0.294

Similarly,

n_2=759, x_2=211\\\\p_2=\dfrac{x_2}{n_2}=\dfrac{211}{759}=0.278

At 0.01 level of significance.

Hypothesis are :

H_0:P_1=P_2=0.5\\\\H_a:P_1\neq P_2

So, the test statistic value would be

z=\dfrac{(p_1-p_2)-(P_1-P_2)}{\sqrt{\dfrac{P_1Q_1}{n_1}+\dfrac{P_2Q_2}{n_2}}}\\\\z=\dfrac{0.294-0.278}{\sqrt{0.5\times 0.5(\dfrac{1}{1399}+\dfrac{1}{759})}}\\\\z=\dfrac{0.016}{0.023}=0.696

Hence, the value of test statistic is 0.696.

3 0
3 years ago
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