The original transformation T takes some point (x,y) and turns it into (2x, y+5). What's going on with the coordinates? Well x is doubled to 2x while y is having 5 added to it. To get the inverse, we simply undo everything happening to the coordinates. We do the opposite.
Going from x to 2x has us multiply by 2. To backwards, we divide by 2. This is the same as multiplying by 1/2. At this point, the only answer is B. So we could stop here if we wanted. But let's keep going.
To go from y to y+5, we add on 5. Undo this by subtracting 5. So the inverse would be y-5.
That's why the inverse transformation is (1/2x, y-5)
Step-by-step explanation: When you solve for x you get 2 so when you put that into the equation (2+1) you get 3. You solve for x but solving this equation (x+5) = (x+1) Hope this helps :)
You can change the form of the number to scientific notation before or after you do the addition. Here, we see the sum will be less than 100 million tons, so we can convert to scientific notation before we do the addition without requiring extra steps. The total waste is the sum of the amounts of waste in the two years.
