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MrMuchimi
3 years ago
10

Solve the three variable system. (I was just introduced to these)

Mathematics
2 answers:
sladkih [1.3K]3 years ago
8 0
First we have to get down to a system of two equations, then we can work from there. adding the first and third equation together, we get

x - y + (y - 2z) = 2 + ( - 3) \\ x - 2z = - 1
now multiply the second equation by 2, and add it to our new equation

6x + 2z = 22 \\ 6x + 2z + (x - 2z) = 22 - 1 \\ 7x = 21 \\ x = 3

now plug x into the second equation

3(3) + z = 11

z = 2

and plug it into the first equation

3 - y = 2

y = 1
Elanso [62]3 years ago
4 0
So basically you do two of the equations first and then solve for the last equation. Please Refer To The Picture



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Which situation could be represented by the graph?
Ymorist [56]

The correct option which resembles with the given graph is \fbox{\begin\\\ optionA and optionC\\\end{minispace}}.

Further explanation:

From the given graph the it is observed that the interval is [8,11) which is a half open interval or it can be said that it is a half closed interval.

A half closed or a half open interval is an interval in which one end point of the interval is included but the other point is not included.

For example:

In an interval of the form [a,b) the point a is included in the set but the point b is not included in the set.

Similarly, in the interval [8,11) the point 8 is included in the set but the point 11 is not included in the set.

In order to determine the correct option which resembles with given graph form interval for each option.

Option A:

As per the statement in option A the age of the student must be at least 8 years and not more than 11 years that is the age of the student is either 8 years or greater than 8 years and less than 11 years.

As per the above statement the interval formed is \fbox{\begin\\\ [8,11)\\\end{minispace}} in which 8 is included in the set and 11 is not included which means it is a half closed or half opoen interval.

Therefore, \fbox{\begin\\\ optionA\\\end{minispace}} is a correct option.

Option B:

As per the statement in option B the amount of money the babysitter can earn is between \$8 and \$11 per hour.

As per the above statement the interval formed is \fbox{\begin\\\ (8,11)\\\end{minispace}} in which both of the end points are not included in the set which means that it is an open interval.

Therefore, \fbox{\begin\\\ optionB\\\end{minispace}} is an incorrect option.

Option C:

As per the statement in option C the time required to complete a program in college cannot be less than 8 hours and the time must be less than 11 hours.

From the above statement it is concluded that the time required can be 8 hours or more than 8 hours but it has to be less than 11 hours.

So, as per the above the statement the interval formed is \fbox{\begin\\\ [8,11)\\\end{minispace}}.

Therefore, \fbox{\begin\\\ optionC\\\end{minispace}} is a correct option.

Option D:

As per the statement in option D the age of the dogs is either 8 years old or below 8 years and age of the dog must be greater than  11 tears.

As per the above statement the interval formed is \fbox{\begin\\\ (-\infty,8) \bigcup(11,\infty)\\\end{minispace}}.

Therefore, the \fbox{\begin\\\ optionD\\\end{minispace}} is an incorrect option.

So, \fbox{\begin\\\ optionA and optionC\\\end{minispace}} are the correct options which resembles with the given graph.

Learn more:

  1. A problem on composite function brainly.com/question/2723982
  2. A problem to find radius and center of circle brainly.com/question/9510228
  3. A problem to determine intercepts of a line brainly.com/question/1332667

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Sets

Keywords: Interval, set, open interval, closed interval, half open interval, half closed interval, set theory, program, community college, babysitters, veterinary clinic, ages, students.

5 0
2 years ago
Read 2 more answers
Find area and perimeter​
alisha [4.7K]

Answer:

Perimeter

P = P1+P2

P1 = 4a           P2=2(a+b)

P1=4*5           P2=2(3+5)

P1=20            P2=2*8

                     P2=16

P = 20+16

P=36

Area

A=A1+A2

A1=a^{2}                 A2=a*b

A1=5^{2}                 A2=3*5

A1=25                A2=15

A=25+15

A=40

5 0
3 years ago
The expression -2(x-4) is the same as?​
Tomtit [17]

Answer:

-2x + 8

Step-by-step explanation:

I applied the distribution technique to the original question.

5 0
2 years ago
A local restaurant is offering a special deal in which customers can receive one appetizer, one entree, and one dessert for a fi
Dmitriy789 [7]
There are105 different choices.
For 1 appetizer, there are 15 different combinations of entrees and desserts. 1 dessert has 5 entrees you can mix, and since there are 3 desserts, there are 15 choices. It goes the same for every appetizer until there is 7x15. 7Ax15choices equals 105 options.
The customer has 105 meal choices.
5 0
3 years ago
Hi. What is the smallest number that can be written in 6 ways as the sum of the squares of 3 primes? Also, please list them as w
Fed [463]

2019 is the smallest number.

Here are the ways:

7^2+11^2+43^2

7^2+17^2+41^2

13^2+13^2+41^2

11^2+23^2+37^2

17^2+19^2+37^2

23^2+23^2+31^2



3 0
3 years ago
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