What is 3 more than x

Answer:

Three different addy numbers are possible. They are 12358, 21347 and 31459.

Step-by-step explanation:

Let the 1st two digits of the numebr be x and y

Given that, 1st digit = x

2nd digit = y

3rd digit = x + y

4th digit = x + 2y

5th digit = 2x + 3y

None of the diigts can be 0 because then x = y, also none of the digits can be more tan 9 which limits the possible first digits as 1,2 and 3

(i) consider x= 1,hence  2x + 3y < 10

2 + 3y < 10

3y < 8

which makes y < , since y cant be 1, it is 2

sub x = 1, y = 2 we get the number as 12358.

(ii) consider x= 2,hence  2x + 3y < 10

4 + 3y < 10

3y < 6

which makes y < 2,then y becomes 1

sub x = 2, y = 1 we get the number as 21347.

(iii) consider x= 3,hence  2x + 3y < 10

6 + 3y < 10

3y < 4

which makes y < , then y becomes 1

sub x = 3, y = 1 we get the number as 31459.

Final answer:

There are 26 unique addy numbers. The possible first digits for an addy number are only 1 through 4. The rest of the digits are deterministically found by the sums of adjacent digits and condition of each digit being unique.

Explanation:

An 'addy' number is a 5-digit number with specific addition rules between adjacent digits. To determine how many possible addy numbers there are, we need to analyze the rules and work out possible combinations.

Firstly, no digit can be zero because all digits must be a part of the sum which means the minimum value should be 1. And, as we move forward, since each number must be unique, it limits our possibilities of choosing values.

Consider the following: If the first digit is 1, the second could be any number from 2 to 9 (8 choices). The resulting third digit would be uniquely determined since it is the sum of the first two digits. This continues through the rest of the number, with each subsequent digit determined by the sum of the previous two digits. The only restriction is that a digit cannot be repeated, and thus the sum of two digits cannot go above 9.

By trying this approach with different starting numbers (1 through 4), we realize that the maximum number of unique addy numbers can be calculated as the sum of the series 8, 7, 6, 5 which is 26.

Learn more about Addy Numbers here:

brainly.com/question/35422565

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Answer:

-1.5

Step-by-step explanation:

So your set of points I believe is:

(1,4)

(2,2.5)

(3,1)

(4,-0.5)

You are asked to find the average rate of change. This just means find the slope.

So you can make sure the slope is the same per pair of points.

So I like to find the slope by lining two points up vertically and subtracting vertically then put 2nd difference over 1st difference.

(2 , 2.5)

-( 1 ,  4)

----------------

 1,  -1.5

So the slope is -1.5/1 or just -1.5.

Check another pair:

 (3  , 1  )

- (2  ,2.5)

------------

 1 ,  -1.5

So the slope is -1.5/1 or just -1.5.

Check one more:

 (4 , -.5)

-(3  , 1)

-----------

1, -1.5

So the slope is -1.5 or just -1.5

So the average rate of change is -1.5.