F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
Answer :
Let the first term of both the terms be
and last term be 
Now, by using the mid point formula to find the mid point of the segment -

Now, by substituting the values of both x and y -

Adding -7 and 6 -

Now, move the negative in front of the fraction -

Answer:
18 bottles of water for $10 because each bottle costs 56c compared to 6 bottles of water for $4 at 67c
Step-by-step explanation:
All values rounded to the hundredth
6 bottles of water for $4
4/6=0.67
Each bottle costs 67c
18 bottles of water for $10
10/18=0.56
Each bottle costs 56c
The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4
<h3>Definition of standard deviation</h3>
Standard deviation can be defined as a statistic tool that measures the dispersion of a dataset in relation to its mean and is calculated as the square root of the available variance of the set.
It is calculated as the square root of the given variance.
Thus, the MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average.
Learn more about standard deviation here:
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Answer:100 off discount
Step-by-step explanation:
If you use the 20% discount you get only 95 dollars off the price