Answer: ![A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%7B3%7D%7B2%7D%26-%5Cfrac%7B1%7D%7B2%7D%5C%5C-2%261%5Cend%7Barray%7D%5Cright%5D)
<u>Step-by-step explanation:</u>
![\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%261%5C%5C4%263%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D)
![\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7DRow%5C%201%5Crightarrow%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%26%5Cfrac%7B1%7D%7B2%7D%5C%5C4%263%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%7B1%7D%7B2%7D%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D)
![Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right]](https://tex.z-dn.net/?f=Row%5C%202%20-4%20%5C%20Row%5C%201%5Crightarrow%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%26%5Cfrac%7B1%7D%7B2%7D%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%7B1%7D%7B2%7D%260%5C%5C-2%261%5Cend%7Barray%7D%5Cright%5D)
![Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right]](https://tex.z-dn.net/?f=Row%5C%201-%5Cdfrac%7B1%7D%7B2%7D%5C%20Row%5C%202%20%5Crightarrow%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%7B3%7D%7B2%7D%26-%5Cfrac%7B1%7D%7B2%7D%5C%5C-2%261%5Cend%7Barray%7D%5Cright%5D)
Rate of change is another way to say slope.
Slope is (the change in y) / (the change in x).
The formula for slope is:
m = (y2 - y1)/(x2 - x1), with (x1, y1) being one point and (x2, y2) being the second. What you need to do is order the slopes from smallest to largest because slope means the same thing as rate of change.
#17. First, you need to find the slope of function A. To do this, I’m choosing two different points I see on the graph: (1,1) and (2,1). I now plug these into the slope formula:
m = (1-1)/(2-1) = 0/1 = 0.
The slope for function A = 0
To find the slope for function B, you can choose any two points. I’m going to use (3,0) and (6,1)
m = (1-0)/(6-3) = 1/3
The slope for function B is 1/3
For function C, you are already given the slope. That equation is in something called slope-intercept form (y=mx+b), where the x is being multiplied by the slope.
The slope on function C = 1/4
So,, A has the smallest slope, C has the second smallest slope, and B has the largest slope.
#18. The two points in using to find the slope for function A are (0,-3) and (1,0).
m = (0+3)/(1-0) = 3/1 =3
The slope for function A is 3
The two points I’m using for function B are (-2, 10) and (0, 20)
m = (20-10)/(0+2) = 10/2 = 5
The slope for function B is 5
The slope for function C is 1. When the slope is 1, it is not written because any number (other than 0) times 1 equals 1.
Function C has the smallest slope, function B has the second smallest slope, and function C had the largest slope.
It would probably be better for you to try 19 and 20 on your own, and let me or anyone else on Brainly know if you have any questions or something doesn’t make sense.
I hope this has helped!
The slope is the constant rate of change. In this case, the number is being multiplied by 3 each time
The slope is 3
“x represents number of chocolate truffles sold each day”
Represents amount of chocolate truffles sold per day
