Using elimination method. Using substitution will cause some fraction problems.
c- child tickets
a- adult tickets
4a + 7c = $83
5a + 6c = $90
multiply by -5
-20a - 35c = -$415
20a + 24c = $360
-11c= -$55
c = $5 child tickets
4a + 7(5)= $83
4a + 35 = $83
4a = $48
a= $12 adult tickets
Answer:
x = -11/4
Step-by-step explanation:
Given that:
-2 = 5 / (2x+3)
Multiplying both sides by (2x + 3)
-2(2x + 3) = 5
"-" sign will alter the inner signs
-4x -6 = 5
Adding 6 on both sides:
-4x -6 +6 = 5 + 6
-4x = 11
Dividing both sides by -4
-4x/-4 = 11/-4
x = -11/4
i hope it will help you!
Answer:
Step-by-step explanation:
Correct option is
D
[1,(1+π)
2
]
f(x)=(1+sec
−1
(x))(1+cos
−1
(x))
Here the limiting component is cos
−1
(x), since the domain of cos
−1
(x) is [−1,1].
Therefore,
f(1)=(1+0)(1+0)
=1
f(−1)=(1+π)(1+π)
=(1+π)
2
Hence range of f(x)=[1,(1+π)
2
]
x makes a linear pair with 120 degrees, so is supplementary:
Answer: 60 degrees
