Answer:
c
Step-by-step explanation:
the function (x) = -3x+2 can be obtained by :
* stretching the function (x)=x in the y-axis by 3 units gives 3x
* then reflecting about x-axis gives -3x
* finally shifting it up by 2 units gives -3x+2
so the parent function is f(x) = x
Answer:
Step-by-step explanation:
The first 6 rows of the eruptions data :
eruptions waiting
1 3.600 79
2 1.800 54
3 3.333 74
4 2.283 62
5 4.533 85
6 2.883 55
R code :
1. You can directly access the "Faithful" data in R without importing the data. The dataset faithful is present in the R or you can load the datasets. or use install the datasets.load. package
If you have the data in a text file, make sure all the columns and rows are separated by commas
Step 1: open notepad
Step 2: enter data with no spaces but only commas
Step 3: save the file as ‘faithful.txt’ on your Desktop
# Get R help
?read.table
# Import the data
rain<-read.table("C:/Users/YOUR-NAME/Desktop/faithful.txt", header = TRUE,
sep = ",")
Check the data
data("faithful") #Loading Faithful data
head(faithful, 6) #Reading first 6 rows of the data
Given:
The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).
The rule of dilation is:
The image of triangle MNP after dilation is M'N'P'.
To find:
The coordinates of the endpoints of segment M'N'.
Solution:
The end points of MN are M(-4, 6) and N(2, 6).
The rule of dilation is:
Using this rule, we get
And,
The endpoints of M'N' are M'(-6, 9) and N'(3, 9).
Therefore, the correct option is B.
Answer:
x = 9.17 (nearest hundredth)
The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.
Step-by-step explanation:
350 = 12(x + 20)
Multiply out brackets: 350 = 12x + 240
Subtract 240 from both sides: 110 = 12x
Divide both sides by 12: 9 1/6 = x
x = 9.17 (nearest hundredth)
The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.
