True, the zero at the end doesn't matter.
0.15=0.150
Answer:
B AND D
Step-by-step explanation:
The domain of the function can be represented using set-builder notation as follows: {x | x is a positive integer}. The range of the function can be represented using inequality notation as follows: 0 ≤ y ≤ 100.
<h3>What are the domain and range of the function?</h3>
The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
Part A:
Hours Cost
1 10
3 30
11 100
20 100
Part B:
The domain of the function that represents the cost of renting a bicycle is the set of all possible values of the number of hours the bicycle is rented for. In this case, the domain is the set of all positive integers, because the bicycles must be returned the same day they are rented.
The range of the function is the set of all possible values of the cost of renting the bicycle. In this case, the range is the set of all non-negative numbers less than or equal to 100, because the maximum daily fee is $100.
Part C:
The domain of the function can be represented using set-builder notation as follows:
{x | x is a positive integer}
The range of the function can be represented using inequality notation as follows:
0 ≤ y ≤ 100
Learn more about the domain and the range here:
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Answer:
This is an inverse variation, and the constant of variation is k = 2.
Step-by-step explanation:
Direct variation is something like:
y = k*x
Where k is the constant of variation.
So as x increases also increases y.
Inverse variation is something like:
y = k/x
k is the constant of variation.
In this case, if x increases, y decreases.
Now let's look at the equation:
-10 + 15*x*y = 20
Let's isolate y in one side of the equation:
15*x*y = 20 + 10 = 30
15*x*y = 30
y = 30/(15*x) = (30/15)/x = 2/x
y = 2/x
Then we can conclude that this is an inverse variation, with a constant of variation equal to 2.
Answer: 1 solution at (2.8, 7)
