Answer:
A.) g (x) = f (x) - 2
Step-by-step explanation:
The first thing we are going to do in this case is to take into account the following definition.
Translations are transformations that change the position of the graph of a function.
The general shape of the graph of a function is moved up, down, to the right or to the left.
The translations are considered rigid transformations. Now we will see how these are performed.
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
Using the definition we conclude that:
g (x) = f (x) - 4
Let s = the speed of the slower train in km/hrs+10 = the speed of the faster train in km/hrLet t = time in hrs for the slower train to go 160 kmt-5 = time in hrs for faster train to go 160 km---------------Slower train:(1)
160=s.t
Faster train:(2) 160=(s+10) .(t-.5)From (1)(1) t=160/s
use the relations given in following screenshot and then use quadratic equation.
Answer:
b = 5.
Step-by-step explanation:
-3(6 + 6b) + 4 = -104
-18 - 18b + 4 = -104
-18b = -104 + 18 - 4
-18b = -90
b = -90 / -18
b = 5.
Answer:
no solution
Step-by-step explanation:
10+2w>=22 or 5w-8>-12
10-2w>=22 or (5w-2w)-8>-12
10>=22 or 3w+8>12
18>=22 or 3w>12
18/3>=22 or 3w/3>12
6>=22 or w>12