(4 + 2x)(6 + 2x) =
4(6 + 2x) + 2x(6 + 2x) =
24 + 8x + 12x + 4x^2 =
4x^2 + 20x + 24 <==
Answer:
The following functions would move the graph of the function to the right on the coordinate plane.
C) 
G) 
Step-by-step explanation:
We need to check for those functions which shows a horizontal shift of graph to the right.
Translation Rules:
Horizontal shift:
If 
the function shifts 
units to the left.
If 
the function shifts units to the right.
Vertical shift:
If the function shifts units to the up.
If the function shifts units to the down.
Applying rules to identify the translation occuring in each of the given functions.
A) 
Translation: 
The translation shows a shift of 2 units to the left and 7 units down.
B) 
Translation: 
The translation shows a shift of 3 units down.
C)
Translation: 
The translation shows a shift of 3 units to the right and 1 units up.
D) 
Translation: 
The translation shows a shift of 4 units up.
F) 
Translation: 
The translation shows a shift of 6 units to the left.
G)
Translation: 
The translation shows a shift of 5 units to the right.
A research paper recommends using Poisson process to model the number of failures in commercial water pipes The paper also gives estimates the failure rate in units of failures per 100 miles of pipe per day; for four different types of pipe and for many different years_ For example, for cast iron pipe in 2005, the authors' estimate is the failure rate is 0.0864 failures per 100 miles per day: Suppose a town had 2500 miles of cast iron pipe underground in 2005 What is the probability of at least two failures
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
60 seconds x 60 minutes = 3,600 seconds per hour
3,600 seconds per hour x 24 hours = 86,400 seconds per day.
The light flashes 5 times every 10 seconds:
5 flashes / 10 seconds = 1 flash every 2 seconds
86,400 seconds / 2 seconds = 43,200 flashes per day.
For (-7,3) and (5,3) the answer is 12. You add the different points, -7 and 5 because one is negative and one is positive. You do not add 3 and 3 because they are the same.
(3,-6) and (3,-10) = 4 because -6 and -10 are negatives. The answer is always positive.
(8,0) and (8,-8) = 8.
