Answer:
The number of ways are there to paint the four buildings is 48.
Step-by-step explanation:
I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.
Therefore the first building can be colored in 4 ways.
ii) the second building can be colored in 3 ways since it cannot be colored the
same color as the first building.
iii) the third building can also be colored in 3 ways.
iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.
Therefore the total number of ways the buildings can be colored = 4
3
3
2 = 48.
Answer:

Step-by-step explanation:
In order to find the values of a piecewise function, we first have to determine which piece we are using.
For
, x=-3. This means that we need to use
as 

For
, x=2. This means that we need to use
as x is equal to 2.

Answer:
answer in the attachment
Step-by-step explanation:
<, > - open circle
≤, ≥ - closed circle
<, ≤ - draw the line to the left
>, ≥ - draw the line to the right
We have
t > 9 - open circle and draw the line to the right
t < -6 - open circle and draw the line to the left
6x +2y
Solution:
Given expression is (6x + 4y) –2y.
To find the equivalent expression for the given expression.
⇒ (6x + 4y) –2y
⇒ 6x + 4y –2y
Combine like terms together.
⇒ 6x + (4y –2y)
⇒ 6x + 2y
6x +2y is equivalent to (6x + 4y) –2y.
Hence, the expression equivalent to (6x + 4y) –2y is 6x + 2y.