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2 years ago

3

Which classification best describes the following system of equations? X=5, y=6, -x-y+z=0

1 answer:

balandron [24]2 years ago

6 0

Answer: The correct option is option third, i.e., consistent and independent.

Explanation:

The system of equation have three equation,

$x=5$ ..... (1)

$y=6$ ..... (2)

$-x-y+z=0$ .... (3)

Put the value of x and y from equation (1) and (2) in equation (3).

$-5-6+z=0$

$-11+z=0$

$z=11$

The given system of equation have a unique solution (5,6,11).

The system of equation is inconsistent if there is no solution and consistent if there exist at least one solution. If the solution is unique the it is independent and if there are more than one solutions then it is dependent.

Since in above calculation we find the values of (x,y,z) and we get a unique value for each variable, it means the solution is unique and the system of linear equation is consistent and independent.

Therefore the option third is correct.

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<h2>Answer</h2>

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<h2>Explanation</h2>

Remember that $RelativeFrecuency=\frac{Frecuency}{SumOfAllFrecuencies}$

Since the problem is telling us "Among tenth graders", we must focus on the 10th graders row only. From the row, we can infer that the frequency is the number of 10th graders who prefer going to sporting events, so $Frecuency=6$ . Now, the sum of all frequencies will be the sum of all the 10th graders, so $SumOfAllFrecuencies=6+8=14$ . Let's replace the values:

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And rounded to the nearest hundredth:

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2 years ago

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Keith_Richards [23]

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2 years ago

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Papessa [141]

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2 years ago

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ki77a [65]

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

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Then, returning to the question:

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This is equal to the quotient between the distance that he travels asleep and the total distance:

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Then he was asleep in 1/4 of the entire trip.

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2 years ago