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,

![\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=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.
Answer:
Question 1 = 1 Question 2 = 2 no eggs remain because 2 eggs needed
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Firstly, we need to subtract the amount she earned from walking the dog ($9.00) from the end total ($16.00). This leaves us with $7.00.
Since she spent exactly<em> </em><em>half</em> of her weekly allowance, we must multiply the remaining $7.00 by 2. This leaves us with our final answer of $14.00.
Answer:
16) 
17) y = -x - 4
18) y = -2x - 1
19) y = -2x
20)
Step-by-step explanation:
With the two points you find the slope using 
Then using that slope, plug the slope in with one of the points values of x and y into the point slope formula, and smiplify that into the y-intercept formula.
Answer:
Positive number
Step-by-step explanation:
Given that:
Lucinda is saving money for a hot-air balloon trip to celebrate her graduation and she needs $300 dollars.
Let x be the amount of her savings and she needs $300
SO;
x + 300 = 0
As an integer, it is represented by a positive number because she needs this amount of money in addition to what she already saved.