Answer:
4/15
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.
Answer:
3 1/3 is your answer.
Step-by-step explanation:
Rewriting equation:
4 + 5/6 - 1 - 1/2
4 - 1 = 3
5/6 - 1/2 = ?
Find the LCD of 5/6 and 1/2 and rewrite to solve.
5/6 - 3/6 = 2/6
2/6 = 1/3
3 + 1/3 = 3 1/3
Whole number: 3
numerator: 1
denominator: 3
2 times (9+7) is correct.
9 + 7 = 16.
16 multiplied by 2 is 32.
