Answer:
g(f(x)) = 2x - 2
Step-by-step explanation:
to evaluate g(f(x)) substitute x = f(x) into g(x)
g(f(x)) = g(2x + 1) = 2x + 1 - 3 = 2x - 2
2 + 2 = 4
4 + 6 = 10
10 + 10 = 20
20 + 65 = 85
85 + 96 = 181 :)
Answer:
decreasing at 390 miles per hour
Step-by-step explanation:
Airplane A's distance in miles to the airport can be written as ...
a = 30 -250t . . . . . where t is in hours
Likewise, airplane B's distance to the airport can be written as ...
b = 40 -300t
The distance (d) between the airplanes can be found using the Pythagorean theorem:
d^2 = a^2 + b^2
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
d' = (a·a' +b·b')/d
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To find a numerical value of this, we need to find the values of its variables at t=0.
a = 30 -250·0 = 30
a' = -250
b = 40 -300·0 = 40
b' = -300
d = √(a²+b²) = √(900+1600) = 50
Then ...
d' = (30(-250) +40(-300))/50 = -19500/50 = -390
The distance between the airplanes is decreasing at 390 miles per hour.
Answer:
you got 12 more then your friend, 45-23
Step-by-step explanation:
Answer: 8 quartets can be formed.
1 singer will be left over.
Step-by-step explanation:
A quartet is a group of 4 members.
Given: The women'schorus has 33 members.
The number of quartets can be formed = (Total members) divided by (4)
= 33 ÷ 4
By solving 33 ÷ 4 we get 8 as quotient and remainder as 1 such that
33 = 4 x 8 +1
Hence, 8 quartets can be formed.
1 singer will be left over.
