Answer:
The correct option is option B.
Step-by-step explanation:
The given function is
We can rearrange the function as
⇒ 3(x - 4)² - 2 = 18y - 36
⇒ 3(x - 4)² = 18y - 34
⇒ 
⇒ 
⇒ 
Therefore, the inverse function will be, 
Therefore, the correct option is option B. (Answer)
Answer:
Shift right by 4
Step-by-step explanation:
Given f(x)=x^2
g(x)= x^2-8x+16
Using
Horizontal Shift theorem dealing with the question
If the graph were to be move to to the right, we must use of graph f (x-L)
Where L= 4 and
NOTE:
POSITIVE L MAKES GRAPH SHIFT RIGHT
2) NEGATIVE MAKES GRAPH SHIFT LEFT
g(x)= x^2-8x+16
If we factorize this we have
(x-4)(x-4)
Since the two terms are the same we have (x-4)^2
Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function
Answer:
Distance between the police station and the fire station be 4 miles
Step-by-step explanation:
Let distance between the police station and the fire station be x miles.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.
Distance between the library and the police station 
Also, distance between the library and the police station is 5 miles.
Answer:
10
Step-by-step explanation:
"When 9 is increased by 3x"
THis means 9 + 3x
"The result is greater than 36"
We use greater than sign and 36
So we can write:
9 + 3x > 36
SOlving this via equation rules and algebra:
9 + 3x > 36
3x > 36 - 9
3x > 27
x > 27/3
x > 9
This means x is everything greater than 9, which satisfies the equation. So in terms of integers, it can be 10, 11, 12, 13...anything above
We want to find the least possible integer value of x, so it is definitely 10
