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Nesterboy [21]
4 years ago
9

Solve the system.

Mathematics
1 answer:
patriot [66]4 years ago
5 0

Answer:

D.(2,-1,-1)

Step-by-step explanation:

-a+4b+2c=-8

3a+b-4c=9

b = -1

Substitute b=-1 into the other equations

-a -4 +2c = -8

3a -1 -4c =9

Multiply the first equation by 2 so we can eliminate c

-2a -8 +4c = -16

Add this to the second equation

-2a -8 +4c = -16

3a -1 -4c =9

-----------------

a -9 = -7

Add 9 to each side

a-9+9 = -7+9

a =2

b=-1

Now we need to find c

-a +4b +2c = -8

-2 -4 +2c = -8

-6+2c = -8

Add 6 to each side

-6+6 +2c = -8+6

2c = -2

Divide by 2

2c/2 = -2/2

c=-1

(2,-1,-1)

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Function is a line points (3,2), (5,8), and (8,y) what is y
SashulF [63]
Y = mx + b

(3;\ 2)\to x_1=3;\ y_1=2\\\\(5;\ 8)\to x_2=5;\ y_2=8\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to m=\dfrac{8-2}{5-3}=\dfrac{6}{2}=3

Therefore we have: y = 3x + b.

Put the coordinates of the point (3; 2) to the equation of the line:

2 = 3\cdot3+b\\2=9+b\ \ \ |-9\\b=-7

Therefore we have: y = 3x - 7

Substitute the coordinates of the point (8; y) to the equation of the line:

y = 3\cdot8-7=24-7=17

Answer: y = 17.
6 0
3 years ago
In ΔPQR, point C is the centroid. If PZ = 7, then RZ =<br> A) 3.5 <br> B) 7 <br> C) 14 <br> D) 21
choli [55]

The answer is B) 7. PZ is half of PR, which makes RZ half of RP, making RZ also 7.


5 0
3 years ago
Read 2 more answers
When the p-value is used for hypothesis testing, the null hypothesis is rejected if _____
pashok25 [27]

Answer:

B

Step-by-step explanation:

Here, we are to give the reason why we would reject the null hypothesis during the hypothesis testing.

In considering whether to accept the null hypothesis or reject the null hypothesis, we have to take into consideration two things.

The p-value and the alpha value. The p-value refers to the probability which is directly obtainable from the standard score which is referred to as the z-score while the alpha refers to the level of significance.

Now, when the p-value is less than alpha, we simply reject the null hypothesis and accept the alternative hypothesis. In a case however, we have the value of p greater than or equal to the significance level alpha, we simply accept the null hypothesis in this case.

The question asks for a rejection case and this can happen only when the p-value is less than the level of significance alpha

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3 years ago
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kykrilka [37]

Answer:

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18 total saved

8 0
3 years ago
Work out the question (-5)2
MrRissso [65]

Answer:

-10 or 25 (read my explanation)

Step-by-step explanation:

(-5)2

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(Unless the 2 is supposed to be an exponent)

If it is supposed to be an exponent the answer is 25

(-5)^2

25

8 0
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