From the definition of a function, a function associates every element of the domain to a unique element in the codomain.
In other words, if two elements are equal in the domain, then their images should also be equal.
Since, x represents the number of cars, we consider the universal set as N, the set of all natural numbers.
Let x, y ∈ N and x = y
Then, 0.75x = 0.75y
⇒ f(x) = f(y)
Therefore, images are equal, whenever elements are equal.
Hence, the function f(x) = 0.75x is a function. Also, note that the domain of the function is the set of all natural numbers and the range is the set of real numbers.
Answer:
Step-by-step explanation:
We know the triangles are congruent, therefore, each corresponding side of the triangle is also congruent!
1) Set EF≅CB
2) Set ED≅CA
3) Set DF≅AB
The quotient is 212.96.
Solution:
Given expression is 
.
Divide the given expression to find the quotient.
Decimal rule when numerator is divided by 10, 100, 1000, 10000 etc..
- If you have one zero in the divisor (10), then the decimal point will move 1 place to the left of the last digit.
- If you have two zeros in the divisor (100), then the decimal point will move 2 place to the left of the last digit.
- If you have three zeros in the divisor (1000), then the decimal point will move 3 place to the left of the last digit.
Here, we have 3 zeros in the denominator.
So, the decimal point is move 3 digit to the left of the last digit.
So, option C is the right answer.
Hence the quotient is 212.96.
Assuming there are no ties
Answer:
980100
Step-by-step explanation:
Let's start with the boys(we could also start with girls, it doesn't matter).
We can "choose" one of 11 boys for the gold medal. That athlete can't win any more medals, so there are 10 boys left.
We can then "choose" one of the 10 boys remaining for the silver medal. That athlete can't win any more medals, so there are 9 boys left.
We can lastly "choose" one of the 9 boys remaining for the bronze medal.
That makes 11 possible choices for gold medal * 10 possible choices for silver medal * 9 possible choices for bronze medal = 990 possible choices(for boys).
We can do the exact same for the girls, leaving us with 990 possible choices for the girls.
We then multiply the possible choices together to get 990*990=980100 possible ways to hand out the six medals
