Answer:
The inverse will be:

Step-by-step explanation:
In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :



Now solve for y'.
First add 4 in both sides of the equation and change to the left y'.

= x + 4
Second divide by 9
/9 = (x + 4)/9
= (x + 4)/9
Now you will have to clear y, with the square root.
[/tex] =
Simplifying terms


You can check the answer by doing the evaluation of the following equation:
(f o
) (x)
substitute the equation for y' or inverse function 
f(
)
Now substitue the value into f(x)
You will have

=x
Answer:
17.07m/s
Step-by-step explanation:
v=d/t
d=956km
t=56sec
v=956/56
v=17.07m/s
Answer:
336 ways
Step-by-step explanation:
The digits are 1, 2, 2, 4, 5, 5, 6, and 2 that is total eight digits.
The number 654-5222 contains 7 digits.
So, we have find The number of permutations for choosing 7 digits from 8 digits given above.
This can be done in following ways
= 
= 336 ways
Answer:
Option A (2197 cm³)
Step-by-step explanation:
For a cube with length of each side "a" , it's
- Total Surface Area = 6a²
- Volume = a³
_____________________________________________
According to the question ,
Total Surface Area = 1014 cm²
Let the length of each side of cube be 'a'.
Using the formula ,



But length can't be negative . So , length of each side = 13 cm
∴ Volume of cube = 13³ = 2197 cm³