For a parabola of the form

, its vertex is located at (h, k).
The vertex of f(x) is at (7, -1).
The vertex of g(x) is at (-6, -3).
To move (7, -1) to (-6, -3), we would have to go 13 units to the left and 2 units down. Therefore, moving f(x) 13 units left and 2 units down would map it onto g(x).
Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
Answer: yes they are the same
This is not the best question I've ever seen. The wording is the problem, and it's not your fault. The melting point of Krypton is about - 160 oC. It means that numerically the melting point of Krypton is 4 times lower than that of mercury.
Krypton = 4*M
M = - 39
Krypton = 4*-39
Krypton = - 156o C
Now you want to make it something like K(1/4) = - 39 which would be fine. You can't use - 1/4. If you do, your answer will come out to be + 156 which is not what you mean. If this was a multiple choice question, your answer would be the second best one.
First 0-0=0
Next 5-5=0
Then 4-3=1
After 3-1=2
Then 1-1=0
Move comma after 2