Mathematics, 18.06.2020 04:57 NeriyahY
1) Define the relation R on the set of integer numbers (ℤ) by xRy if xy > 0. Is R an equivalence relation? Justify.
2) Let R, the relation R on ℤ by aRb if a2 - b2 3. Is R an equivalence relation? Justify.
3) Let r be the relation on the set of integer numbers (ℤ) such that arb if and only if a + b is odd. Is r an equivalence relation?
4) Let R be a relation defined on the set ℤ by aRb if a b. Is it true that R is symmetric and transitive? If not, give an example.
5) Let A = {1, 2, 3, 4, 5}, and let
R = {(3,4), (5,5), (1,1), (2,2), (5,2), (1,4), (2,5), (3,1), (3,3), (4,1), (1,3), (4,3), (4,4)} be an equivalence relation on A. Find the [1] and [3] on R.
1) Consider the function f: R → R defined by f(x) = 2x +3. R - set of real numbers
A) Find the inverse function of the function f.
B) Is f o f-1= f-1 o f
2) Prove that the function f: R {2} → R (5) defined by f(x) = is bijective R defined by f(x) = x + 1 is a surjection (onto).
3. Determine if the function f: R t of real numbers.
Answers: 3
Mathematics, 21.06.2019 17:00
An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?
Answers: 3
Mathematics, 21.06.2019 18:30
If you have the following equation, 2/3x+5/6-x=2-3/4x what would you multiply each term by to get rid of all the fractions
Answers: 3
Mathematics, 21.06.2019 19:00
Which values of p and q result in an equation with exactly one solution? px-43=-42x+q choose all answers that apply: a) p=-43 and q=-43 b) p=42 and q=43 c) p=43 and q=−42 d) p=42 and q=42
Answers: 1
1) Define the relation R on the set of integer numbers (ℤ) by xRy if xy > 0. Is R an equivalence...
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