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MrMuchimi
2 years ago
9

What value of y satisfies the system of equations below? 2x - y = 6 2x + 3y = 14

Mathematics
1 answer:
Oksana_A [137]2 years ago
5 0

Answer: y=2

Step-by-step explanation:

2x+3y=14 - 2x-y=6 = 4y=8

y=2

If you need x, just insert y into the equation and work out x from there

2x-2=6

2x=8

x=4

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y = 2x squared + 5x -3 can be written in the form y= 2( x+a) squared + b . Find the value of a and the value of b.
Elan Coil [88]

General vertex form:

y = m(x − a)² + b  \: with  \: vertex \:  at \:  (a, b)

Given :

y = 2x² + 5x  - 3

Extract "spread factor" m

y = 2( x² +  \frac{5}{2} x) - 3

Complete the square

y = 2(x²  +  \frac{5}{2}x + ( \frac{5}{4})²) - 3

- 2( \frac{5}{4})²

Write as a squared binomial and simplify the constant

y = 2(x +  \frac{5}{4})² - 6 \frac{1}{8}

Re-write to match signs of standard general form:

y = 2(x - ( -  \frac{5}{4}))² \:  + ( - 6 \frac{1}{8})

3 0
2 years ago
Is a measure of 26 inches​ "far away" from a mean of 16 ​inches? As someone with knowledge of​ statistics, you answer​ "it depen
alexandr402 [8]

Answer: Hello!

In a normal distribution, between the mean and the mean plus the standar deviation, there is a 34.1% of the data set, between the mean plus the standar deviation, and the mean between two times the standard deviation, there is a 16.2% of the data set, and so on.

If our mean is 16 inches, and the measure is 26 inches, then the difference is 10 inches between them.

a) if the standar deviation is 2 inches, then you are 10/2 = 5 standar deviations from the mean.

b) yes, is really far away from the mean, in a normal distribution a displacement of 5 standar deviations has a very small probability.

c) Now the standar deviation is 7, so now 26 is in the range between 1 standar deviation and 2 standar deviations away from the mean.

Then this you have a 16% of the data, then in this case, 26 inches is not far away from the mean.

3 0
3 years ago
The answer and to understand
antoniya [11.8K]
Market 1: 3,90/10 = 0.390 $
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4 0
3 years ago
Read 2 more answers
For the following pairs of equations explain why the equations are NOT equivalent.
Serga [27]
If you were to make both x's equivalent, you'd have to multiply the first equation by 2 to get rid of the coefficient, 1/2. However, you'd have to multiply 2 onto -8 as well, therefore the equation would turn into x - 16 = 18. That is not equivalent to x - 8 = 18.
7 0
2 years ago
3629 you can use the digits twice make the largest four digit number​
Alex Ar [27]

Answer:

9632

or

9966

Step-by-step explanation:

im not 100% sure

3 0
3 years ago
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