For this case we have the following conversion:
20 pounds = 9 kilograms
To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.
For example, half the weight in pounds is half the weight in kilograms.
Therefore, the given conversion is:
10 pounds = 4.5 kilograms
So, for 30 pounds, we multiply this last ratio obtained by three on both sides:
30 pounds = 13.5 kilograms
Then, the table is:
Pounds 10 20 30
kilograms
4.5 9 13.5
Answer:
Using the ratio table the dogs weight is:
30 pounds = 13.5 kilograms
Answer:
y = -2/3x + 4
Step-by-step explanation:
2x + 3y = 12
3y = -2x+12
y = -2/3x + 12/3
y= -2/3x + 4
Question 1:
For this case we must find
knowing that:
By definition we have that, be two functions f (x) and g (x), then the composite function of f with g is:
![(g_ {0} f) (x) = g [f (x)]](https://tex.z-dn.net/?f=%28g_%20%7B0%7D%20f%29%20%28x%29%20%3D%20g%20%5Bf%20%28x%29%5D)
In this case, they ask us for the function composed of g with f:
![(f_ {0} g) (x) = f [g (x)]](https://tex.z-dn.net/?f=%28f_%20%7B0%7D%20g%29%20%28x%29%20%3D%20f%20%5Bg%20%28x%29%5D)
So, we have:
ANswer:
Question 2:
For this case, we must find the inverse function of 
, given by: 
To do this, replace g(x) with y:
We exchange variables:
We solve for "y":
Replace "y" with 
So, we have:
Answer:
Question 3:
For this case, we have by definition, the domain of a function f (x), is the set of all the values for which the function is defined.
We must find the domain of the following function:
It is observed that the function is not defined for 
Then the domain is given by all the values of x, except 0.
for any integer n
Answer:
All numbers, except
Answer:
|-1/4 - 3/4|
Step-by-step explanation:
To get the distance, take the absolute value of the second point minus the first point
| 3/4 - - 1/4|
|3/4 + 1/4|
We can also take the absolute value of the first point minus the second point
|-1/4 - 3/4|
Answer:
The answer is C
Step-by-step explanation:
