Which equation describes a relationship that is directly proportional? y= 9 y= 3x y= .20 y= x + 4

B.

Step-by-step explanation:

We are asked to find the equation that describes a directly proportional relationship.

We know that two proportional quantities are in form , where, y is proportional to x and k is the constant of proportionality.

Upon looking at our given choices, we can see that equation represented by option B is in form of direct proportional equation, where k equals 3.

Therefore, the equation is direct proportional equation and option B is the correct choice.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18