Step-by-step explanation:
The figure below shows a portion of the graph of the function 
, hence the average rate of change (slope of the blue line) between the 
and 
is
Answer:
4.35pm is the later time, both buses were together back at the depot.
Reasons;
As bus b did not return his return route until 35 minute after departure.
We can say this was a return route taking 35 minute as the question does not point out length of time getting back. We therefore state it is a return route in the workings to explain how we found the answer.
Step-by-step explanation:
4.00 + 0.35 = 4.35 = b
4.00 + 0.15 = 4.15 = a
4.35 is the later time.
Answer:
(g°f)x =16 when x = 5
Step-by-step explanation:
It might be easier to understand if you wrote this the other acceptable way.
g(x) = x^4
f(x) = 2x - 8
g(f(x)) means that in g(x) wherever you see and x you put f(x)
g(f(x)) = (f(x) ) ^ 4 Now put in the general value for f(x)
g(2x - 8) = (2x - 8)^4
You really don't want to expand this (although it would give you the right answer eventually).
g(2*5 - 8) = (2 * 5 - 8)^4
g(2*5 - 8) = (10 - 8)^4
g(2*5 - 8) = 2^4
Answer 16
The best way is to check all answers. lets check answer A first.
Take the equation y > -3x +3 and substitute 2 for x and -5 for y.
(-5)> -3(2) + 3
-5 > -6 + 3
-5 > -3
we know this is not true so A is not the answer. because it is an invalid solution.
Lets check B
(-2)>-3(5) + 3
-2 > -15 +3
-2 > -12
we know this is true so it is a valid solution Now we have to check the other equation with the same point.
y> x +2
5> (-2)+2
5> 0
we know this is true so its a valid solution.
This means B the correct answer.
