Answer:
-1/12
Step-by-step explanation:
make the denominators congruent
8/12 and 9/12
then subtract
-1/12
Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
Total amount paid if he bought = 6000 + 726(12 x 3) = 6000 + 726(36) = 6000 + 26,136 = 32,136
Total amount paid if he rents = 2000 + 37P, where P is the monthly rent
For renting to be cheaper
2000 + 37P < 32,136
37P < 32136 - 2000 = 30136
P < 30136 / 37 = 814.49
Therefore, the maximum rent he could pay is $814
The value of the composite function is option (D) (f ∘ g)( - 1) = - 4.
The functions are given as:
f(x) = x + 1 and g(x) = 5x.
We need to find the composite function:
(f ∘ g)( - 1).
= f (g ( - 1)
Substitute value of g(x):
= f ( 5 ( - 1))
= f ( - 5)
Substitute value of f(x):
= ( - 5 ) + 1
= - 5 + 1
= - 4
Therefore, the value of the composite function is option (D) (f ∘ g)( - 1) = - 4.
Learn more about function here:
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Answer:
3x
Step-by-step explanation:
3*x
