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3 years ago

Classify the system as independent, dependent, or inconsistent.

1 answer:

7 0

1. 4x + 8y = 12....divide by 4
x + 2y = 3
2y = -x + 3
y = -1/2x + 3/2...slope is -1/2, y int is 3/2

x + 2y = -3
2y = -x - 3
y = -1/2x - 3/2...slope is -1/2 and y int is -3/2

when the slopes are the same, and the y int are different, then the lines are parallel and never intersect...so they have no solution and are inconsistent
=================
2. y = 2x - 1...slope is 2 and y int is -1
y = -2x + 5 ...slope is -2 and y int is 5
when the slopes are different and the y int are different, then there is 1 solution making it independent
=================
3. 4x - 12y = 8...divide by 4
x - 3y = 2
same as other equation meaning the equations are the same line...meaning they have infinite solutions making them dependent

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The complete question in the attached figure

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suppose six of these people are men, and the other six are women. in how many ways can they join hands for a circle dance, assum

Drupady [299]

Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle

Answer:

86400 ways

Step-by-step explanation:

Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.

Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.

After picking the places for the women, we will now fill each gap between two women with a man.

We have 6 men. Thus, number of ways to arrange the men is 6!

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3 years ago

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Mamont248 [21]

Answer:

Cora's spend will be = $ 16.66

Step-by-step explanation:

Let y be the amount Ben spent

As Ava spent three times Ben will be 3y and half as much Cora(2y)

so the equation becomes

y + 2y + 3y = 50

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y = 50/6

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So Cora's spend will be : 2y = 2(8.33) = 16.66 units currency

Note: if currency is in $

Then Cora's spend will be = $ 16.66

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3 years ago