Answer:
45 mins
Step-by-step explanation:
Answer:
y = 3·2^x
Step-by-step explanation:
At x=0, f(0) = a = 3
At x=1, f(1) = a·b = 3b = 6 ⇒ b = 6/3 = 2
So, the function is ...
f(x) = 3·2^x
Answer:
9 bottles of water
Step-by-step explanation:
Marginal benefit is a microeconomic concept that explains how much the consumer adds satisfaction to each unit consumed of a given product. Usually, the marginal benefit is decreasing, which makes logical sense, the more a customer consumes a particular good, the smaller the benefit of the next unit.
At first, the first bottle of water has a high benefit as mentioned in the exercise: 9
In the second, you are a little less thirsty, so the benefit will be 10 - 1x2 = $8
In the ninth bottle, you will have very little thirst and the benefit will be 10 - 1x9 = $1
In the tenth bottle there is no benefit, the consumer is indifferent. As a rational consumer, you will buy until the bottle is still usable, even if minimal, for 9 bottles when your benefit is $1.
5x^2 + 7x = 6
5x^2 + 7x -6 = 0
5x^2 + 10x -3x -6 =0
5x × (x + 2) -3 (x + 2) = 0
(x + 2) × (5x - 3) = 0
x + 2 = 0
5x - 3 = 0
x = -2
x = 3/5
answer: x = -2, x = 3/5
