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3 years ago

Which of the following is a solution to the system of equations? y= 3x-2 6 + y=-x

Mathematics

2 answers:

AlladinOne [14]3 years ago

3 0

Answer:

x=-1 y = -5

Step-by-step explanation:

y= 3x-2

6 + y=-x

Substitute the first equation into the second equation

6 +y =-x

6+ (3x-2) = -x

Combine like terms

4 + 3x = -x

Subtract 3x from each side

4 +3x -3x = -x -3x

4 = -4x

Divide by -4

4/-4 = -4x/-4

-1 =x

Now we need to find y

y= 3x-2

y = 3(-1) -2

= -3-2

= -5

DochEvi [55]3 years ago

3 0

Answer:

(-1, -5)

Step-by-step explanation:

We can solve this system using substitution. y = 3x - 2, so replace "y" in the second equation with "3x - 2:"

6 + (3x - 2) = -x, or 6 + 3x - 2 = -x

Group like terms together: 3x + x = -6 + 2.

Then 4x = -4, and x = -1.

Subst. -1 for x in the first equation: y = 3(-1) - 2, or y = -5.

Then the solution is (-1, -5).

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3 years ago

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2 years ago

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Softa [21]

Answer:

The data item is $X = 580$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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This means that $\mu = 400, \sigma = 60$

z=3

We have to find X when Z = 3. So

$Z = \frac{X - \mu}{\sigma}$

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3 years ago

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eduard

Answer:

Step-by-step explanation:

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