I like to think of it as if you had 2 buses. Each bus is a rectangle array of seats. Each seat would be a box where there's a number inside. Each seat is also labeled in a way so you can find it very quickly (eg: "seat C1" for row C, 1st seat on the very left). The rule is that you can only subtract values that are in the same seat between the two buses.

So in this case, we subtract the first upper left corner values 14 and 15 to get 14-15 = -1. The only answer that has this is choice B. So we can stop here if needed.

If we kept going then the other values would be...

row1,column2: P-R = -33-16 = -49

row1,column3: P-R = 28-(-24) = 52

row2,column1: P-R = 42-25 = 17

row2,column2: P-R = 35-(-30) = 65

row2,column3: P-R = -19-36 = -55

The values in bold correspond to the proper values shown in choice B.

As you can probably guess by now, matrix addition and subtraction is only possible if the two matrices are the same size (same number of rows, same number of columns). The matrices don't have to be square.

7 0

3 years ago

Modeling with Inverses

Rus_ich [418]

Step-by-step explanation:

I will do the first one as an example.

To find the inverse of y = f(x), simply switch x and y, then solve for y.

y = 3 + 2 ln x

x = 3 + 2 ln y

x − 3 = 2 ln y

(x − 3) / 2 = ln y

y = e^((x − 3) / 2)

So the inverse function is:

f⁻¹(x) = e^((x − 3) / 2)

The original function told us the amount of water as a function of time.

The inverse function tells us the time as a function of the amount of water.

6 0

3 years ago