x=1 f = 10(5.5)(1) = 55
x=2, f = 10(5.5)(2) = 110
110-55 = 55
2-1 =1
55/1 = 55
average rate of change = 55
Length: 2w-12
Area is length times width so (2w-12)*w
Or 2w^w-12w
Answer:
I. m = 2401
II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]
Step-by-step explanation:
I. Determination of m
x ∆ y = x² − 2xy + y²
2 ∆ − 5 = √m
2² − 2(2 × –5) + (–5)² = √m
4 – 2(–10) + 25 = √m
4 + 20 + 25 = √m
49 = √m
Take the square of both side
49² = m
2401 = m
m = 2401
II. Simplify ((n+1) ∆ y)/n
We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:
x ∆ y = x² − 2xy + y²
(n+1) ∆ y = (n+1)² – 2(n+1)y + y²
(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²
(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1
(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1
(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1
(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1
(n+1) ∆ y = (n – y + 2)(n – y) + 1
((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n
((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]
Answer:
$441.60
Step-by-step explanation:
Invoice amount: $460
Term 4/10= 4% discount if paid early within the first 10 days of the invoice date
Amount due: $441.60
Discount amount: $18.40
Invoice amount: $460
Term: 1/15= 1% discount if paid early within the first 15 days of the invoice date
Amount due: $455.40
Discount amount: $4.60
Invoice amount: $460
Term: n/30= no discount if paid on or after the 30 days from the invoice date
Amount due: $460
Discount amount: $0
Answer:
2/5 or 0.4
Step-by-step explanation:
10 students like building snowmen but do not like skiing
so students who like both building snowman and skiing = 60 - 10 = 50
Total number of students who does not like building snowman and also does not like skiing = 80 - 60 = 20
Therefore, the probability that a student who does not like building snowmen also does not like skiing = 20/50 = 0.4
