what do you mean by "12&"? as in add or multiplication?
We are to determine if the given are differences of perfect cubes and in order to do so, we simply have to calculate for the cube root of the terms in the given.
(a) 9a³ - 27 = ((∛9)a)³ - 3³ ; NO
(b) 125a¹² - 72 = (5a⁴)³ - (∛72)³ ; NO
(c) 216a⁶ - 27y³ = (6a²)³ - (3y)³ ; YES
(d) 8a¹⁵ - 27 = (2a⁵)³ - (3)³ ; YES
(e) 225a³ - 216 = (15a)³ - (6)³ ; YES
Therefore, the answers are the third, fourth, and fifth choices.
Answer:

Step-by-step explanation:
Given

Required
Determine the value of k
First, we need to determine the equation of g(x)
Start by calculating the slope (m)

Where x and y are two corresponding values:


The slope (m) is:



The equation is calculated using:

Where
and 


Make y the subject of formula


So:

Next, we determine the equation of f(x)
Start by calculating the slope (m)

Where x and y are two corresponding values:


The slope (m) is:




The equation is calculated using:

Where
and 



Make y the subject of formula


So:

Recall that

Make k the subject

Substitute values for g(x) and f(x)




Answer:
No, Ben is not right.
Step-by-step explanation:
If we check the sequence of the numbers given, we can find that all of them is the odd multiple of the number three, i.e,
3,9,15,21,27.......
=> 3 (1,3,5,7,9......)
But 150 divided by 3 gives, 50, which is not an odd number, therefore, it will not come in this sequence.
Hope you understand.
Please mark it as the brainliest.
Thank You
-2 = -2 because of the slope