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BlackZzzverrR [31]
3 years ago
6

Let A be the set of all binary strings of length four. Define a function that maps A to the set {0, 1, 2, 3, 4} by letting f(s)

be what you get when you add up the digits making up the string s. Then the function f is not one-to-one

Mathematics
1 answer:
coldgirl [10]3 years ago
3 0

Answer:

  see the attachment

Step-by-step explanation:

One way to define the function is to list the output for each possible input. That is done below.

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X-y=5 and x^2y=5x+6​
sergeinik [125]

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

<h3>How to solve a system of equations</h3>

In this question we have a system formed by a <em>linear</em> equation and a <em>non-linear</em> equation, both with no <em>trascendent</em> elements and whose solution can be found easily by algebraic handling:

x - y = 5      (1)

x² · y = 5 · x + 6       (2)

By (1):

y = x + 5

By substituting on (2):

x² · (x + 5) = 5 · x + 6

x³ + 5 · x² - 5 · x - 6 = 0

(x + 5.693) · (x - 1.430) · (x + 0.737) = 0

There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737

And the y-values are found by evaluating on (1):

y = x + 5

x₁ ≈ 5.693

y₁ ≈ 10.693

x₂ ≈ 1.430

y₂ ≈ 6.430

x₃ ≈ - 0.737

y₃ ≈ 4.263

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

To learn more on nonlinear equations: brainly.com/question/20242917

#SPJ1

8 0
1 year ago
What should we multiply the top equation by in order for both equations to have like coefficients?
ASHA 777 [7]

Answer:

Multiply by 2

Step-by-step explanation:

If we multiply 2x-6y=26 by 2, we get 4x-12y=52 and the x's cancel out, making it easier to solve for y, using the elimination process.

Hope this makes sense!

5 0
3 years ago
What is the length of the base of a right triangle with an area of 20 square meters and a height of 4 meters? 5 m 10 m 80 m 160
o-na [289]
You find the area of a triangle by using 1/2*b*h where b is the base and h is the height. since we already know the area is 20 and the height is for you plus them in so the problem would be 20= 1/2 (b) (4) then you multiply what you know together to get 20= 2b and then isolate the b by dividing both sides by two so the base should be 10 m
8 0
2 years ago
Read 2 more answers
The drama club was selecting which carnival booths to sponsor at the fall carnival from a list of nine. How many different ways
denis-greek [22]

Answer:

Option B

Step-by-step explanation:

Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.

\mathrm{n\:choose\:r},\\nCr=\frac{n!}{r!\left(n-r\right)!},\\\\\frac{9!}{3!\left(9-3\right)!} =\\\frac{9!}{3!\cdot \:6!} =\\\\\frac{9\cdot \:8\cdot \:7}{3!} =\\\frac{504}{6} =\\\\84\\\\Solution = Option B

Hope that helps!

8 0
3 years ago
Determine whether the following argument is valid or invalid.
prisoha [69]

I think it’s the Law of Syllogism.


8 0
3 years ago
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