First off, let's convert the mixed fraction to "improper", and then check "how many times does 1/3 go into 7 and 5/6?"
Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9
balu736 [363]
Given:
The function is
To find:
The missing values for a, b, and c in the given table.
Solution:
We have,
At x=-2,
![\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5E%7B-n%7D%3D%5Cleft%28%5Cdfrac%7Bb%7D%7Ba%7D%5Cright%29%5E%7Bn%7D%5Cright%5D)
At x=-1,
At x=0,
![\left[\because a^0=1, a\neq 0\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20a%5E0%3D1%2C%20a%5Cneq%200%5Cright%5D)
Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.
Pairs of numbers between 1 and 6 that add up to 7: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1
Pairs of numbers between 1 and 6 that add up to 8: 2+6, 3+5, 4+4, 5+3, 6+2
Pairs of numbers between 1 and 6 that add up to 9: 3+6, 4+5, 5+4, 6+3
6 for 7, 5 for 8, 4 for 9. 15 in all
Answer:
114 cm2
Step-by-step explanation:
You would translate g(x) 5 units up
First choice.
