Answer:
The first one, an=n-2
Step-by-step explanation:
The slope of the linear equation is 1. You can notice the y intercept would be -2, therefore the equation is an=n-2.
A function can be represented on a table and on a graph.
The models of the linear relationship between f(x) and x are:
![\mathbf{A.\ f(x) = 30x + 22}\\\mathbf{C.\ The\ table}\\\mathbf{F.\ The\ graph}](https://tex.z-dn.net/?f=%5Cmathbf%7BA.%5C%20f%28x%29%20%3D%2030x%20%2B%2022%7D%5C%5C%5Cmathbf%7BC.%5C%20The%5C%20table%7D%5C%5C%5Cmathbf%7BF.%5C%20The%5C%20graph%7D)
The given parameters are:
![\mathbf{Start = 22}](https://tex.z-dn.net/?f=%5Cmathbf%7BStart%20%3D%2022%7D)
![\mathbf{Additional = 30}](https://tex.z-dn.net/?f=%5Cmathbf%7BAdditional%20%3D%2030%7D)
So, the function that models the linear relationship is:
![\mathbf{f(x) = Start + Additional \times x}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28x%29%20%3D%20Start%20%2B%20Additional%20%5Ctimes%20x%7D)
Substitute known values
![\mathbf{f(x) = 22 + 30 \times x}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28x%29%20%3D%2022%20%2B%2030%20%5Ctimes%20x%7D)
Evaluate all products
![\mathbf{f(x) = 22 + 30x}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28x%29%20%3D%2022%20%2B%2030x%7D)
Rewrite as:
![\mathbf{f(x) = 30x + 22}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28x%29%20%3D%2030x%20%2B%2022%7D)
By comparing the above function to the list of options, we have the true options to be:
![\mathbf{A.\ f(x) = 30x + 22}\\\mathbf{C.\ The\ table}\\\mathbf{F.\ The\ graph}](https://tex.z-dn.net/?f=%5Cmathbf%7BA.%5C%20f%28x%29%20%3D%2030x%20%2B%2022%7D%5C%5C%5Cmathbf%7BC.%5C%20The%5C%20table%7D%5C%5C%5Cmathbf%7BF.%5C%20The%5C%20graph%7D)
Read more about linear functions at:
brainly.com/question/20286983
Answer:
The height of the base if it is 2 in. Wide is 3 inches
Step-by-step explanation:
Volume of rectangular prism = ![\frac{1}{2} \times Length \times Base \times Height](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20Length%20%5Ctimes%20Base%20%5Ctimes%20Height)
Volume of given rectangular prism = ![12 in^3](https://tex.z-dn.net/?f=12%20in%5E3)
Length of prism = 4 in
Base of prism = 2 in
Substitute the values in formula
So, ![12 = \frac{1}{2} \times 4 \times 2 \times Height](https://tex.z-dn.net/?f=12%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%204%20%5Ctimes%202%20%5Ctimes%20Height)
![\frac{12 \times 2}{4 \times 2}=Height](https://tex.z-dn.net/?f=%5Cfrac%7B12%20%5Ctimes%202%7D%7B4%20%5Ctimes%202%7D%3DHeight)
3 = Height
Hence the height of the base if it is 2 in. Wide is 3 inches
Answer:
I need more information like a picture or the mulitple choice answers.
Step-by-step explanation:
Answer: She left 10% of the cookies at home
Step-by-step explanation: 80 cookies= 100%, 8 cookies = x%. 8 x 100%/ 80 = 10%