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Kitty [74]
3 years ago
5

What is the solution to the following system?​

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

(2,1,0)

Step-by-step explanation:

3x+3y+6z=9

3(2)+3(1)+6(0)=9

6+3+0=9

6+3=9

9=9

x+3y+2z=5

x(2)+3(1)+2(0)=5

2+3+0=5

2+3=5

5=5

3x+12y+12z=18

3(2)+12(1)+12(0)=18

6+12+0=18

6+12=18

18=18

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Answer:

<h2>x = 0, y = 5, z = 3</h2>

Step-by-step explanation:

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\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}

7 0
3 years ago
Bill and susan have ages that are consecutive odd integers.The product of their ages 438.Which equation could be used to find bi
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Answer:

4 x^{2} + 8 x - 435=0

Step-by-step explanation:

Let x be any natural number

Let the age of Bill= 2 x+ 1  years (Since age is odd integer)

Than, age of a Susan= 2 x + 3 years

Since ages are consecutive odd integers

According to question

(2 x+1)(2 x+ 3)= 438

4 x^{2} + 8 x + 3 = 438

4 x^{2} + 8 x + 3 - 438 =0

4 x^{2} + 8 x - 435=0

This equation can be used to find the ages of both

Hence, the correct answer is 4 x^{2} + 8 x - 435=0

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Answer:

Step-by-step explanation:

True

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3 years ago
Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probabil
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Answer: The probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

Step-by-step explanation:

Since we have given that

Number of times a coin tossed = 500

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Z_\alpha =\dfrac{416}{500}=0.832

So, At significance level of 0.01, p-value of Z-score is .202704.

and p-value < 0.01, i.e. 0.202704<0.832.

Hence, the probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

7 0
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