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Vinil7 [7]
3 years ago
13

What is the slope for (-2,3) and (4,8)?

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
The answer to your problem is 5/6
You might be interested in
Using the bijection rule to count binary strings with even parity.
AleksandrR [38]

Answer:

Lets denote c the concatenation of strings. For a binary string <em>a</em> in B9, we define the element f(a) in E10 this way:

  • f(a) = a c {1} if a has an odd number of 1's
  • f(a) = a c {0} if a has an even number of 1's

Step-by-step explanation:

To show that the function f defined above is a bijective function, we need to prove that f is well defined, injective and surjective.

f   is well defined:

To see this, we need to show that f sends elements fromo b9 to elements of E10. first note that f(a) has 1 more binary integer than a, thus, it has 10. if a has an even number of 1's, then f(a) also has an even number because a 0 was added. On the other hand, if a has an odd number of 1's, then f(a) has one more 1, as a consecuence it will have an even number of 1's. This shows that, independently of the case, f(a) is an element of E10. Thus, f is well defined.

f is injective (or one on one):

If a and b are 2 different binary strings, then f(a) and f(b) will also be different because the first 9 elements of f(a) form a and the first elements of f(b) form b, thus f(a) is different from f(b). This proves that f in injective.

f is surjective:

Let y be an element of E10, Let x be the first 9 elements of y, then f(x) = y:

  • If x has an even number of 1's, then the last digit of y has to be 0, and f(x) = x c {0} = y
  • If x has an odd number of 1's, then the last digit of y has to be a 1, otherwise it wont be an element of E10, and f(x) = x c {1} = y

This shows that f is well defined from B9 to E10, injective, and surjective, thus it is a bijection.

3 0
3 years ago
The first two numbers in a sequence h are h(1) = 2 and h(2) = 6.
Ghella [55]

Answer:

Step-by-step explanation:

Given the first two numbers of a sequence as 2, 6...

If it is an arithmetic difference, the common difference will be d = 6-2 = 4

Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d

a is the first term = 2

d is the common difference = 4

n is the number if terms

Substituting the given values in the formula.

Nth term Tn = 2+(n-1)4

Tn = 2+4n-4

Tn = 4n-4+2

Tn = 4n-2

2) If the sequence us a geometric sequence

Nth term of the sequence Tn = ar^(n-1)

r is the common ratio

r is gotten by the ratio of the terms I.e

r = T2/T1

r = 6/2

r = 3

Since a = 2

Tn = 2(3)^(n-1)

Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)

3 0
3 years ago
A bakery sells 8 muffins for every 6 bread rolls. They sell 640 muffins in one week, how many rolls did they sell? USE SCALAR MU
olasank [31]
640 Diveded by 8 = 80 and 80 diveded by 6 = 13 R2

8 0
3 years ago
A video streaming company has two monthly plans to choose from: Plan A
bearhunter [10]

Answer:

<em>Plan A</em>

Step-by-step explanation:

Plan A -

$7 + 2.50(5)

$7 + $12.50

Plan A = $19.50

Plan B-

$4(5) = $20

Plan A is the cheapest, therefore it is the best plan.

Hope this helped! :)

6 0
3 years ago
What is the answer for #37
denis-greek [22]
They want to make a total of $1200.
55*10=550
55*8=440
440-550=990
1200-990=210
210/35=6
So they should sell the other plants for $6 each.

3 0
3 years ago
Read 2 more answers
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