Is 3(5x - 4) = 15x - 12 a one solution , no solution or infinite solutions

Infinite Solutions

Step-by-step explanation:

3(5x - 4) needs to be simplified

So we multiply 5x by 3

So 3 x 5x = 15x

Then we multiply -4 by 3

3 x -4 = - 12

Put those together we get 15x - 12

The same equation as the one on the right side

So since 15x - 12 = 15x - 12, the x variable can be any number

Also a little tip:

With Forms quizzes, you can hit control + U and find the answers in the code

The answer is:

The second option:

From the statement, we know the dimensions of the box, and the length of the sides to be cut (x).

So,

Working with the length of the box:

Let be 8 the length of the cardboard for the length of the box, so, if we cut out the side of length "x", we have:

Now,

Working with the width of the box:

Let be 6 the length of the cardboard for the width of the box, so, if we cut out the side of length "x", we have:

Now that we already know the length and the width of the box, we must remember that the bottom of the box will have the same length "x", so, the greatest possible volume of the cardboard box will be:

Have a nice day!