Answer:
12x + 96 ≥ 200
Step-by-step explanation:
Each ticket costs 12 each= 12x
He has already sold 96=+96
he needs to make 200
12x+96>= 200
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Answer:
2a +5
Step-by-step explanation:
Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Further explanation:
We will put n=1,2,3,4,5 to find which functions give the given sequence
<u>f(n) = 2n − 1</u>
Putting values of n

This function doesn't generate the given sequence
<u>f(n) = 2n + 1</u>
Putting values of n

This function generates the given sequence.
<u>f(n) = 2(n − 1) − 3</u>
Putting values of n

This function doesn't generate the given sequence
<u>f(n) = 2(n − 1) + 3</u>
Putting values of n

Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Keywords: Functions, Sequence
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Answer:
25%
Step-by-step explanation:
Given data
Last years shipment= 37220 lamps
These years shipment= 29776 lamps
% Decrease= Initial-Final/Initial*100
% Decrease= 37220-29776/29776*100
% Decrease= 7444/29776*100
% Decrease= 0.25*100
% Decrease= 25%
Hence the decrease is 25%
Answer:
b) 690 - 7.5*t
c) 0 < t < 92s time (t) is independent quantity
d) 0 < s < 690ft distance from bus stop (s) is dependent quantity
e) f(0) = 690 ft away from bus stop , f(60.25) = 238.125 ft away from bus stop
Step-by-step explanation:
Part a - see diagram
part b
initial distance from bus stop s0 = 690 ft
distance covered = 7.5*t
s = s0 - distance covered
s = 690 - 7.5*t = f(t)
part c
s = 0 or s = 690
0 = 690 -7.5*t
t = 92 s
Hence domain : 0 < t < 92s time (t) is independent quantity
part d
s = 0 or s = 690
Hence range : 0 < s < 690ft distance from bus stop (s) is dependent quantity because it depends on time (t)
part e
f(0) is s @t = 0
f(0) = 690 ft away from bus stop
f(60.25) is s @t = 60.25
f(60.25) = 690 - 7.5*60.25 = 238.125 ft away from bus stop.