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2 years ago

You just looked at the graph of this system of equations. Why will the lines never intercept?

Mathematics

2 answers:

Basile [38]2 years ago

7 0

Answer:

Step-by-step explanation:

The have the same slope, -1, but different y-intercepts. The lines are parallel.

Eddi Din [679]2 years ago

6 0

Answer:

The linear equations have the same slope, so the rate of change for each is the same. As long as the rate of change is the same, the lines will stay the same distance apart and not intersect.

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Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going

Liula [17]

Note that there's a strict order here -> 2 close friends, then 1 non-close friend.

So, picking in order:
probability of picking the first close friend: 4/10
probability of picking the second close friend: 3/9
probability of picking the first non-close friend: 6/8

So, we get 4/10 * 3/9 * 6/8 = 1/10.

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3 years ago

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3 years ago

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Find the mean absolute deviation of the set of data. 5,10,12,15,20

boyakko [2]

The mean absolute deviation is 4.8 I believe

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3 years ago

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Plss im like so desperate

Leya [2.2K]

Answer:

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2 years ago

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Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road

kobusy [5.1K]

Answer:

The correct answer is: $y=\frac{1}{3} x + 20$

Step-by-step explanation:

As stated in the question that x represents the number of minutes his normal commute takes. Here the keyword is normal; in the normal commute, Ken takes side streets instead of the toll road.

However, in this scenario, we have to come up with the equation that takes Ken's commute via toll road.

Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:

$x_{toll\_road}=\frac{1}{3}x$

Without considering Ken getting late, the equation would become the following:

$y=\frac{1}{3} x$ --- (A)

As Ken is leaving late, we have to incorporate that time as well by adding it in the aforementioned equation (A).

In this case, it's 20 minutes; therefore, the equation (A) will become:

$y=\frac{1}{3} x+20$

Hence, the correct answer is $y=\frac{1}{3} x + 20$ .

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3 years ago