Answer:
2 - √3
Step-by-step explanation:
tan45 = 1
tan60 = √3
2 tan 45 - tan 60
2(1) - √3
=> 2 - √3
1/8 the fraction?
two eighths = 2/8=1/4
Answer:
26 wins , 14 ties
Step-by-step explanation:
Given: Hockey teams receive
points when they win and
point when they tie. One season, a team won a championship with
points. They won
more games than they tied.
To Find: How many wins and how many ties did the team have.
Solution:
let the number of wins hockey team have 
let the number of ties hockey team have 
Now,
Hockey teams receive
points when they win and
point when they tie.

They won
more games than they tied

Solving both equations we get


Hence, the hockey team have
wins and
ties.
Given:
The piecewise function is

To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions
and
as linear functions.
Starting value of
is at x=-4 and end value is at x=3.
Starting value: 
End value: 
Starting value of
is at x=3 and end value is at x=6.
Starting value: 
End value: 
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.
Answer:
7/13
Step-by-step explanation: