Least common multiple of two numbers one of the numbers is seven less than the other number what are the numbers? justify your answer.

Let x represent the first number, then x-7 represents the second number

Assume the numbers are whole numbers (no negative numbers), then the smallest value that x could be is 8. Thus, the first number is 8 and the second number is 1. The LCM is 8.

Let's increase x by one number so that x=9, then the second number is 2. The LCM is 18.

Let's increase x again by one number so x=10, then the second number is 3. The LCM is 30.

You could continue this to discover that the LCM will be x(x-7) between x=8 and x=13.

So what happens at x=14? First digit is 14 and the second digit is 7. The LCM is 14.

This will occur for all x-values that are multiples of 7.

when x is a multiple of 7, the LCM is x. when x is not a multiple of 7, the LCM is x(x-7).

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

answer: he is 272195

step-by-step explanation: all you have to do is multiple 3535 and 77 and it equals 272195