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kobusy [5.1K]
3 years ago
10

Which ordered triple is a solution of the following linear system?: 3n = -18 3m - 2n + 4p = 12 2m - 4n = 16

Mathematics
1 answer:
Fynjy0 [20]3 years ago
7 0
\displaystyle  \begin{cases}3n=-18\\ 3m-2n+4p=12\\2m-4n=16 \end{cases}\Rightarrow \begin{cases}n=-6\\ 3m+12+4p=12\\2m+24=16 \end{cases} \Rightarrow \\\\\Rightarrow \begin{cases}n=-6\\ -12+12+4p=12\\m=-4 \end{cases} \Rightarrow  \begin{cases}n=-6\\ p=3\\m=-4 \end{cases}

So, solution of the linear system is the following ordered triple (-4,-6,3)
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The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

a) Yes it does, because the graph of their relationship is a Straight line

b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent

C)number of followers depend on the number of locks passing. It is dependent.

D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) =  18/3 = 6

It represents the increase in number of followers per week,

E) y-intercept is value of y when x=0

y-intercept = 82. It means his initial number of followers

F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.

Y=6x+82

Learn more about linear function here:

brainly.com/question/4025726

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2 years ago
Please help me answer this​
butalik [34]

Answer:

1) 1:2          2) 3

3) 1:8         4) 2:7

5) 1:4         6) 3:7

7) 2:5         8) 3:11

9) 2:7         10) 4:7

11) 8:9        12) 7:11

13) 1:2        14) 3

15) 26:27   16) 1:40

17) 1:10       18) 1:100

19) 1000    20) 10

Step-by-step explanation:

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balu736 [363]
What’s the second inequality symbol?
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dimaraw [331]

Answer:

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Step-by-step explanation:

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2) 8100pi yards^2

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5 0
3 years ago
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In a sample of 800 U.S. adults, 218 dine out at a restaurant more than once a week. If two U.S adults are selected at random fro
andre [41]

Answer: 0.074

Step-by-step explanation:

Given : The total number of U.S. adults in the sample = 800

The number of U.S. adults dine out at a restaurant more than once a week = 216

The probability for an adult dine out more than once per week :-

\dfrac{218}{800}

If another person is selected without replacement ,then

Total adults left = 799

Total adults left who dine out at a restaurant more than once a week = 217

The probability for the second person dine out more than once per week :-

\dfrac{217}{799}  

Now, the probability that both adults dine out more than once per week :-

\dfrac{218}{800}\times\dfrac{217}{799}=0.074

3 0
3 years ago
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