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.
Great, because y=2x+5 is 3xy kay.
Answer:
x=40
Step-by-step explanation:
first you simplify both sides of the equation, then you isolate the variable
40/4= 10
10 times 3/2 = 15
Answer:
False
Step-by-step explanation:
Well to solve for z we single it out, distribute, use the communicative property, and combine like terms.
42 = -7(z - 3)42 = -7(z - 3)
Distribute
42 = -7z + 21*42 = -7z + 21
42 = -7z + 882 = -7z + 21
-42 to both sides
-7z + 840 = -7z + 21
-21 to both sides
-7z + 819 = -7z
+7z to both sides
819 = 0
<em>Thus, </em>
<em>the given equation is false.</em>
<em>I hope this helps :)</em>
Answer:
x = 45/7
Step-by-step explanation:
Here, you can more easily see what the fractions look like.
In order to cross-multiply, you have to multiply 5 with 9, and 7 with x.
45 = 7x
Then, you isolate x by dividing 7 on both sides:
45/7 = x
Hope I helped :)