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Andreas93 [3]
3 years ago
6

The system shown has the unique solution (2, y, z). Solve the system and select the values that complete the solution. y = 0 y =

2 y = 3 z = 0 z = 2 z = 3 3x-2y+3z=0 (1) -3x - 5y - 5z= -21 (2) x=2 (3)
Mathematics
2 answers:
madreJ [45]3 years ago
8 0
So we are given a system:
3x-2y+3z=0\\
-3x - 5y - 5z= -21
Substitute x = 2 we get the system:
-2y+3z=-6\\
- 5y - 5z= -15
Multiply the first equation by -5 and the second by 2 we get the system:
10y-15z=30\\
- 10y - 10z= -30
Adding the two equations we get :
-25z=0\text{ then}z=0.
We find the value of y by using any of the other equations like this:
-2y=-6\\y=3.
Final solution:
z=0,y=3
Maslowich3 years ago
7 0

Answer:

y = 3

z = 0

Step-by-step explanation:

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The graph of y = f(x) is shown below. Determine the value of x when f(x) = -4? ? y 10 9 8 7 6 5 ur 4 3 NO C 2 1 X -10 -9 -8 -7 -
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Suppose 300 nursing students took a certification test that is worth 100 points.
Alja [10]

Answer:

225 students scored 65 or better and 75 students scored 88 or better.

Step-by-step explanation:

We are given that The five-number summary for the scores of 300 nursing students are given :

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Q_3 = 88

Maximum = 100

Q_1 is the first quartile and is the median of the lower half of the data set. 25% of the numbers in the data set lie below Q_1 and about 75% lie above Q_1 .

Q_3 is the third quartile and is the median of the upper half of the data set. 75% of the numbers in the data set lie belowQ_3 and about 25% lie above Q_3

i) .About how many students scored 65 or better?

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ii)About how many students scored 88 or better?

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Since we know that 25% lie above Q_3

So, Number of students scored 88 or better = 25\% \times 300 = \frac{25}{100} \times 300 =75

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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