The last image is the graph of 
In fact, it is an increasing exponential function, and it passes through the points
, which reflects the fact that
and
, which reflects the fact that
.
Now,
is a child of the parent function we just described. Precisely, it is the result of the transformation 
In general, every time you perform a transformation like
, you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case
, we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function
Answer:
15 cm
Step-by-step explanation:
so:
if A= b x h and web have b Just Do the inverse formula:
H = a/b h=120/8 = 15 cm
Sorry for my bad English but I'm italian
Answer:
144 ways
Step-by-step explanation:
Let's think of the 3 persons sitting together as "one". So essentially we have 3 + "1" = "4" persons to arrange.
THey can be arranged in 4! ways, which is:
4! = 4 * 3 * 2 * 1 = 24 ways
Now, the 3 persons themselves can be arranged in 3! ways, which is:
3! = 3 * 2 * 1 = 6 ways
Total ways = 4! * 3! = 24 * 6 = 144 ways
Mike jogged a total of A 5 and 1/3 times 1/6
your welcome.