Not a function, because it does not pass the vertical line test.
Answer
6ac−2b−2
Step-by-step explanation:
Let's simplify step-by-step.
4ac+3−2b+2ac−5
=4ac+3+−2b+2ac+−5
Combine Like Terms:
=4ac+3+−2b+2ac+−5
=(4ac+2ac)+(−2b)+(3+−5)
=6ac+−2b+−2
Answer:
a) 8.13
b) 4.10
Step-by-step explanation:
Given the rate of reaction R'(t) = 2/t+1 + 1/√t+1
In order to get the total reaction R(t) to the drugs at this times, we need to first integrate the given function to get R(t)
On integrating R'(t)
∫ (2/t+1 + 1/√t+1)dt
In integration, k∫f'(x)/f(x) dx = 1/k ln(fx)+C where k is any constant.
∫ (2/t+1 + 1/√t+1)dt
= ∫ (2/t+1)dt+ ∫ (1/√t+1)dt
= 2∫ 1/t+1 dt +∫1/+(t+1)^1/2 dt
= 2ln(t+1) + 2(t+1)^1/2 + C
= 2ln(t+1) + 2√(t+1) + C
a) For total reactions from t = 1 to t = 12
When t = 1
R(1) = 2ln2 + 2√2
≈ 4.21
When t = 12
R(12) = 2ln13 + 2√13
≈ 12.34
R(12) - R(1) ≈ 12.34-4.21
≈ 8.13
Total reactions to the drugs over the period from t = 1 to t= 12 is approx 8.13.
b) For total reactions from t = 12 to t = 24
When t = 12
R(12) = 2ln13 + 2√13
≈ 12.34
When t = 24
R(24) = 2ln25 + 2√25
≈ 16.44
R(12) - R(1) ≈ 16.44-12.34
≈ 4.10
Total reactions to the drugs over the period from t = 12 to t= 24 is approx 4.10
Answer:
The number of bags used is 2 bags
Step-by-step explanation:
The mass of the jellybeans in the jar = 2 lbs
The mass divided evenly into bags = 1 pound each
Therefore the operation applied to the jar of jellybean is a division by 1 lb/bag, therefore, we have;
The number of bags used = 2 lbs/(1 lb/bag) = 2 bags
Answer:
B
Step-by-step explanation:
We can get two equations from the inequality:
We just need to simplify both equations to get our answers:
The two answers we get are:
Which is also B.
