Answer:
The answer is b. But you asked for the thought process so...
Step-by-step explanation:
Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.
We know that
Speed = Distance/Time.
Or, Time = Distance/Speed.
So, the time taken to cover a distance of 50 miles on his first trip = 50/x hr.
And the time taken to cover a distance of 300 miles on his later trip = 300/3x hr.
= 100/x hr.
So we can clearly see that his new time compared with the old time was: twice as much.
Have a great day :)
Answer:

Step-by-step explanation:
We are given the two functions:

And that:

With the given conditions that (1, -40) and (-1, 24) satisfy the new function, we want to determine functions <em>f</em> and <em>g</em>.
First, find <em>h: </em>
<em />
<em />
Because (1, -40) and (-1, 24) are points on the graph of <em>h</em>, we have that h(-1) = 40 and h(-1) = 24. In other words:

And:

Solve the system of equations. Adding the two equations together yield:

Solve for either <em>m</em> or <em>n: </em>
<em />
<em />
Substitute this into one of the two equations above and solve:

Therefore:

Solve for <em>m: </em>
<em />
<em />
Hence, the values of <em>n</em> and <em>m</em> are either: 2 and 2, respectively; or 1 and 0, respectively.
In conclusion, functions <em>f</em> and <em>g</em> are:

2(2/5) divided 2(-1/5)
we do PEMDAS meaning parenthesis first
2(2/5) = 4/5(calculator)
or
2/1x2/5=4/5
now
2/1x-1/5=-2/5
now we do division
4/5/-2/5 we get -2
-2
When you multiply or divide a whole number by a power of ten just add the zeros. 5 to the 100000 power is 500000. Five zeros. Hope this helps. Just a little trick and pattern I noticed which helps. :)