Answer:
-5
Step-by-step explanation:
7−12
=7−12
=7+−12
=−5
Answer:
The system is inconsistent.
Step-by-step explanation:
The system is
The associated matrix to the system is
![\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D1%265%264%263%269%2618%5C%5C2%266%264%266%266%2628%5C%5C3%267%264%2610%261%2641%5C%5C4%266%262%267%264%2629%5Cend%7Barray%7D%5Cright%5D)
Now we use row operations to find the echelon form of the matrix:
1. We substract to row 2, two times the row 1.
We substract to row 3, three times the row 1.
We substract to row 4, four times the row 1 and obtain the matrix
![\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D1%265%264%263%269%2618%5C%5C0%26-4%26-4%260%26-12%26-8%5C%5C0%26-8%26-8%261%26-26%26-13%5C%5C0%26-14%26-14%26-5%26-32%26-43%5Cend%7Barray%7D%5Cright%5D)
2. We multiply the second row of the preview step by -1/4. We obtain the matrix
![\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D1%265%264%263%269%2618%5C%5C0%261%261%260%263%262%5C%5C0%26-8%26-8%261%26-26%26-13%5C%5C0%26-14%26-14%26-5%26-32%26-43%5Cend%7Barray%7D%5Cright%5D)
3.
We add to row 3, eight times the row 2.
We add to row 4, fourtheen times the row 2 and obtain the matrix
![\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D1%265%264%263%269%2618%5C%5C0%261%261%260%263%262%5C%5C0%260%260%261%26-2%263%5C%5C0%260%260%26-5%2610%26-155%5Cend%7Barray%7D%5Cright%5D)
4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix
![\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D1%265%264%263%269%2618%5C%5C0%261%261%260%263%262%5C%5C0%260%260%261%26-2%263%5C%5C0%260%260%260%260%26-140%5Cend%7Barray%7D%5Cright%5D)
Using backward substitution we have that
, then 
and this is absurd. Then The system is inconsistent.
It’s written in slope intercept form .
Answer:
<u>Please read the answer below.</u>
Step-by-step explanation:
<u>Question 2. 25% of what number is 30?</u>
25% - Whole 30, 50% Whole 60, 75% Whole 90, 100% Whole 120
<u>Question 3. What operation did you use the find the whole?</u>
In the previous question, I found the whole, adding 30 to the previous value.
For example, I added 30 to 30 and calculate 60. To 60 then i added 30 to get 90 and added 30 to get 120 because in this question, all the 4 parts were exactly the same size (30).
<u>Question 4. What are you multiplying/dividing? Do you use the percent or something else?</u>
In the specific case of question 2, I noticed that the size of the parts were exactly the same, using it for calculating the whole. If 1 part out of 4 is 30, then 2 parts or 50% are 60, 3 parts or 75% are 90 and then 4 parts of 100% are the whole I'm being asked, in this case, 120.
