Answer:
No, 15/21 and 40/56 do not form a proportion.
Step-by-step explanation:
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.
<h2>
Answer:</h2><h2>
The rate of reading a book per month =
= 20%</h2>
Step-by-step explanation:
Nathan read 2 books in 10 months.
The time taken to complete 1 book =
= 5 months
To complete 1 book it takes 5 months.
The rate of reading a book per month =
= 20%