Answer:
- b (x, x - 3, 0)
- d Infinite Solutions
Step-by-step explanation:
1. A graphing calculator or any of several solvers available on the internet can tell you the reduced row-echelon form of the augmented matrix ...
![\left[\begin{array}{ccc|c}2&-2&-1&6\\-1&1&3&-3\\3&-3&2&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D2%26-2%26-1%266%5C%5C-1%261%263%26-3%5C%5C3%26-3%262%269%5Cend%7Barray%7D%5Cright%5D)
is the matrix ...
![\left[\begin{array}{ccc|c}1&-1&0&3\\0&0&1&0\\0&0&0&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D1%26-1%260%263%5C%5C0%260%261%260%5C%5C0%260%260%260%5Cend%7Barray%7D%5Cright%5D)
The first row can be interpreted as the equation ...
x -y = 3
x -3 = y . . . . . add y-3
The second row can be interpreted as the equation ...
z = 0
Then the solution set is ...
(x, y, z) = (x, x -3, 0) . . . . matches selection B
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2. The second equation is 2 times the first equation, so the system of equations is dependent. There are infinite solutions.
Answer:
They should use <u>1.2 gallons</u> of yellow paint.
Step-by-step explanation:
Given:
Julia and Rasheed are mixing yellow paint and blue paint to make green paint.
The mixture needs to be 60% blue paint and 40% yellow paint.
They need to make 3 gallons of the green paint.
Now, to find the quantity of yellow paint they should use.
As,
60% + 40% = 100%
So, we get the ratio of blue paint to yellow paint:
= 
= 
= 
Thus, the ratio of blue paint : yellow paint is 3:2.
<em>They need to make total 3 gallons of green paint.</em>
Now, to get the quantity of yellow paint:
Therefore, they should use 1.2 gallons of yellow paint.
Answer: The answer Is Yes
Step-by-step explanation: Since his scores in the lower and upper quartile are smaller than Amelia's it it still closer to his median since it only takes a smaller amount to get to his median from either one of the quartiles.
The answer is called a <span>Wavelength Hope I helped!</span>
