Answer:
option-C
Step-by-step explanation:
We are given row-echelon form
So, we can write equation from matrix as


Let's assume

now, we can find x and y




so, we get solutions as



where t can be any real numbers
Answer:
b
Step-by-step explanation:
Dilation reduces or enlarges the size
Translation moves the shape within the quadrant
Rotation about the origin changes the orientation and the location to another quadrant.
Answer:
The mean number of gerbils seen per day is 6.
The mean absolute deviation of the data is 2.29.
Step-by-step explanation:
The mean of a data set is the value that represents the entire data set. It is the average value.
The formula to compute the mean of a data set is:

The mean absolute deviation (MAD) of a data set is the average distance amid each value and the mean. The MAD provides us with an idea about the deviation in the data set.
The formula to calculate the value of MAD is:

The data set for the number of gerbils seen per day is:
S = {2, 3, 5, 7, 8, 8, 9}
Compute the mean of the data as follows:

![=\frac{1}{7}\times [2+3+5+7+8+8+9]\\\\=\frac{1}{7}\times 42\\\\=6](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%20%5B2%2B3%2B5%2B7%2B8%2B8%2B9%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%2042%5C%5C%5C%5C%3D6)
The mean number of gerbils seen per day is 6.
Compute the mean absolute deviation of the data as follows:

![=\frac{1}{7}\times [|2-6|+|3-6|+|5-6|+|7-6|+|8-6|+|8-6|+|9-6|]\\\\=\frac{1}{7}\times 16\\\\=2.2857\\\\\approx 2.29](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%20%5B%7C2-6%7C%2B%7C3-6%7C%2B%7C5-6%7C%2B%7C7-6%7C%2B%7C8-6%7C%2B%7C8-6%7C%2B%7C9-6%7C%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B7%7D%5Ctimes%2016%5C%5C%5C%5C%3D2.2857%5C%5C%5C%5C%5Capprox%202.29)
Thus, the mean absolute deviation of the data is 2.29.
The coordinates give are
(0,6)
(4,9)
(3,6)
(2,3)
These points can be substituted into the systems of equation in the choices and inspect which equations satisfy the value of the points. Doing this, the answer is
3x - 4y = -24
3x - y = 3