Answer:
12 < x
Step-by-step explanation:
In writing 12 less than a number x, the expression, 12 - x is wrong because "less than" is not the same thing as "minus" (-). Rather, the sign, "<" should have been used as follows:
12 < x.
Trains depart after every 4 minutes.
Total time train takes to complete a circuit= 24 minutes
Evan sets off at 8:30 am, so he will be back at 8:54 am.
So time of trains coming in opposite direction:
8: 34 am
8:38 am
8:42 am
8:46 am
and 8:50 am
5 trains coming in opposite directions.
Now the trains started at 8:06 am from the stations are:
8:06 am
8:10 am
8:14 am
8:18 am
8:22 am
and 8:26 am.
So there are 6 trains started the circuit at 8:06 am.
Now total number of trains=6+5=11 trains
Answer: 11 trains will pass on complete circuit.
Answer:
Step-by-step explanation: I think it’s option D, f(X) shifts 3 units to the right .
Go to the left-most point on the graph. That point is (-3,-2). The x coordinate of this point is x = -3.
So the smallest x can be is x = -3. The variable x can't be any smaller. It can be larger than -3.
Since x can equal -3 or be larger, this makes the domain to be

(x is
greater than or equal to -3)
In interval notation, you would write

The square bracket tells you to include the endpoint -3 while the curved parenthesis tells you to exclude infinity as an endpoint. Plus or minus infinity is always associated with a curved parenthesis.
In short,
the answer is choice D