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:
D
Step-by-step explanation:
correct answer, thanks for 15 pts
If a< c< b then a<c and c<b
Separate the equation into 2 separate ones and solve them:
X-9 < 4x +3
Subtract 3 from both sides:
X-12 < 4x
Subtract x from both sides:
-12< 3x
Divide both sides by 3:
X > -4
4x+3 < 27
Subtract 3 from both sides
4x < 24
Divide both sides by 4
X <6
Combine to get one inequality:
-4<x<6
Answer:
y=3x-7
Step-by-step explanation:
lines are parallel hence gradient from the equation in question is the same as the gradient of the equation to be found.. comparing to y=mx+c, eq in question has grad 3... from the formula y-y1=m(x-x1) where (x1,y1) is equal to the point in question