Answer:
4(3m^3-2m^2+4m+2)
Step-by-step explanation:
Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5
Answer:
Step-by-step explanation:
Answer:
x
=
π
3
,
2
π
3
,
4
π
3
,
5
π
3
Explanation:
(
sin
x
)
2
=
3
(
cos
x
)
2
(
sin
x
)
2
=
3
(
1
−
(
sin
x
)
2
)
(
sin
x
)
2
=
3
−
3
(
sin
x
)
2
4
(
sin
x
)
2
=
3
(
sin
x
)
2
=
3
4
sin
x
=
±
(
√
3
2
)
x
=
π
3
,
π
−
π
3
,
π
+
π
3
,
(
2
π
)
−
π
3
x
=
π
3
,
2
π
3
,
4
π
3
,
5
π
3
If this was in the region
0
≤
x
≤
2
π
Answer:
Step-by-step explanation:
.5
