The Gardenview Hotel is seventeen less than twice the height of the Plaza Hotel. If their combined height is 361 feet, how tall
2 answers:
Answer:
The height of Gardenview hotel is 38 feet.
Step-by-step explanation:
To solve this problem let first suppose Garden View Hotel is "x" and the Plaza Hotel is "y" so the first equation as it says in the question will be 17x- 2y =0 and the second equation will be their combined height which is x+y =361 . Now let's solve both the equations simultaneously to get the height of GardenView Hotel.
(1)
(2)
Now multiply the second whole equation by 2 so that we can eliminate y from both the equations , after doing that the final equation is and if we calculate x from this we will get the height of gardenview hotel which is 38 feet.
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Answer: First, injective means that for every y, there is only one x such f(x) = y, and surjective means that if f is a function that goes from the set {x} to the set {y}, for every element y in the codomain there is at least one element x in the domain such f(x) = y
(a) f:R----> + R given by f(x) = x2 (i guess you written )
The function is not injective, because f(-2) = f(2), and is surjective, because the codomain is +R, and is always a positive real number.
(b) f:N----> + N given by f(n) = n2 (i guess you written )
As the naturals have no negative numbers, in this case the function is injective, but isn't surjective, because there is no number that when squared is equal to 5, for example.
(c) f: Zx Z → Z given by f(n, k) = n +k:
here the domain is of the form (n,k) and the function is n +k, so the numbers (z,w) and (w,z) return the same value when evaluated in f, then f is not injective. And is easy to see that f is surjective, because in the sum you can reach al the integers on the codomain.