The names PNM and MPN are perfectly valid. The order of the letters doesn't matter. In fact, there are 6 ways to name this plane if we just use the 3 letters. If we include "plane Z", then there are 7 total ways to name the plane.
For some reason, your teacher wants P to be the third letter as s/he mentioned MNP and NMP. But again, the order doesn't matter.
Answer:

Step-by-step explanation:
The given function is
.
The domain refers to all values of x for which this function is defined.
Recall that: the domain of
is 
And we know
is the reciprocal of
.
Therefore the complement of the domain of
which is
is the domain of 
Answer:
x = 7, x = -10
Step-by-step explanation:

Use the quadratic formula.

Solve.
x = 7, x = -10
You can also factor if you want - that is a faster method.
6 times because you find the common denominator which is 8 so 3/4 is 6/8. He needs to fill his cup 6 times.
Answer:
a). The equation; 7.25 h-36.25=0
b). total number of hours Steven work=5 hours
Step-by-step explanation:
Part A
The expression for the total money earned is as follows;
T=E×h
where;
T=total earnings
E=earnings per hour
h=number of hours worked
In our case;
T=$36.25
E=$7.25
h=h
replacing;
36.25=(7.25×h)
36.25=7.25 h
The equation would be; 7.25 h=36.25, or 7.25 h-36.25=0
Part B
7.25 h=36.25
h=36.25/7.25
h=5
total number of hours Steven work=5 hours