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Agata [3.3K]
3 years ago
13

Which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19 ​

Mathematics
1 answer:
defon3 years ago
7 0

Answer: we multiply the second equation by -2. This property is the multiplication property of equality (1).  

Then, we add the two equations generated. (2) addition property of inequality.

Next, we divide both sides of the equation by 13. That is division property of inequality.  

Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.  

Then, we simplify

Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.  

Lastly, we divide both sides of the equation by 4. This is division property of equality.

Step-by-step explanation:

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Oman said that it is impossible to raise a number to the power of 2 and get a value less than the original number.Do you agree w
Yuri [45]

Answer:

Yes.

Step-by-step explanation:

Any number raised to the power of 2 will be greater than the original number.

A positive number:

4² = 16

A negative number:

-3² = 9

Or:

0² = 0

6 0
4 years ago
What is the domain and range of the relation shown in
Leya [2.2K]

Answer:

Domain : {10, 15, 19, 32}

Range: {-1, 5, 9}

Step-by-step explanation:

As the table of the relation is given as follows:

<em>X                Y</em>

<em>10               5</em>

<em>15               9</em>

<em>19               -1</em>

<em>32             5  </em>

From this table, we can define the relation by combining the ordered pairs from the table. Each and every order pair consists of x-coordinate and corresponding y-coordinate of any corresponding point.

So, the relation from the table can be made as follows:

                            relation : {(10, 5), (15, 9), (19, -1), (32, 5)}

Domain of a relation consists of all the x-coordinates (first elements) of order pairs.

Range of a relation consists of all the y-coordinates (second elements) of ordered pairs.

So, domain  and range of relation will be as follows:

                                  Domain : {10, 15, 19, 32}

                                  Range: {-1, 5, 9}

<em>Note: If there is any </em><em>duplicate</em><em> element in any x or y-coordinate of any ordered pair, it will be written only </em><em>once </em><em>when we determine domain and range. Here, in this example, 5 is duplicate, so, it will be mentioned only one time when we determine the range of this relation.</em>

Keywords:  domain, relation, range

Learn more about domain and range of a relation from brainly.com/question/11422136

#learnwithBrainly

6 0
4 years ago
What is 30% of 80? show two strategies for solving this problem
Westkost [7]

Answer:

24

Step-by-step explanation:

30/100=x/80

cross multiply:

100x=2400

divide by 100:

x=24

Not quite sure how you want me to explain the other way step by step... Hope this helps!

80*.3=24

4 0
3 years ago
A stone is thrown upward, its height h meters after t seconds is given by this formular h=30t-5t². Find t when it is at a height
Simora [160]

Answer:

the answer is

T¹=5s

T²=1s

Am not sure about why there's two times , although perhaps the two times indicate the starting time and the other indicate the time when the stone hits 25m above the ground

Step-by-step explanation:

the solving steps are in the picture.

8 0
3 years ago
simba travel agency arranged trips for climbing mount kilimanjaro. for each trip, they charge an initial fee of 100$ in addition
kodGreya [7K]
Yesterday was a great
8 0
3 years ago
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