Answer: x = 12, y = 50
Step-by-step explanation: 2y-5 and 95 are vertical angles and vertical angles are always congruent (equal). So, 2y - 5 = 95. 2y = 100. y = 50. Solving for x is slightly more difficult. 3x and 144 are linear pairs and linear pairs are adjacent and equal 180° because a straight line is 180°. So 3x + 144 = 180. 3x = 36. x = 12.
Answer:
a) (x/7)^1/9=y
Step-by-step explanation:
f(x) = 7x^9
x/7= 7y^9/7
(x/7)^1/9=(y^9)^1/9
(x/7)^1/9=y
f^-1(x) is a fuction because it passes the vl test
Answer:
5,000,000
Step-by-step explanation:
5,000,000
standard form is the number:
Ex. four -> 4
Answer: $$5$$ movies
Step-by-step explanation: Given: A movie club, one time fee
=
$
25
, movies
=
$
7
2nd club,
$
0
fee, movies
=
$
12
Cost equations for each club:
club 1:
C
1
=
25
+
7
M
club 2:
C
2
=
12
M
For the clubs cost to be equal:
C
1
=
C
2
25
+
7
M
=
12
M
Subtract
7
M
from both sides:
25
=
5
M
Divide by
5
:
M
=
25
5
=
5
5
movies
CHECK:
C
1
=
25
+
7
⋅
5
=
25
+
35
=
$
60
C
2
=
12
⋅
5
=
$
60
Answer:
a. volume= 784 is the answer
