Answer: Third option.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If 
, the function is translated "k" units up
If 
, the function is translated "k" units down.
If 
, the function is translated "k" units left.
If 
, the function is translated "k" units right.
In this case you have the following function:
And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:
Finally, simplifying, you get that this is:
To compare their speed (rate), we need to have the same time or same distance to use as a reference.
Matt ran 50 meters per 10 seconds. Molly ran 30 meters per 5 seconds. If she ran for 5 more seconds, she would have gone 30 more meters, for 30 meters per 10 seconds. Thus, Molly went faster.
Alternately, you could calculate their speeds in meters per (one) second and compare. 50 meters per 10 seconds is 5 meters per second, and 30 meters per 5 seconds is 6 meters per second.
Answer:
B
Step-by-step explanation:
8 hours changes 24% increase pay.
24% means about +4.60
Answer: Option C. [0.95, 1.59].
Step-by-step explanation:
We know that the mean is:
M = 1.27
and the margin of error is:
e = 0.32
This means that the actual value can be at a maximum distance of 0.32 from the mean.
then the interval will be:
[M - e, M + e].= [1.27 - 0.32, 1.27 + 0.32].= [0.95, 1.59].
The correct option is C.
