i have a math problem i cant figure out.it is about input and out put algebraic expression.
INPUT P-24 18 14 12 08
OUTPUT N-10 07 05 04 02
To solve this math problem involving input and output algebraic expressions, let's analyze the given data:
INPUT: P-24 18 14 12 08
OUTPUT: N-10 07 05 04 02
From the given information, it appears that there is a relationship between the input (P-n) and the output (N-n), where "n" represents a number.
To determine the pattern and understand the relationship, let's observe the changes between the input and output numbers.
1. P-24 to N-10: The difference is -14.
2. P-18 to N-07: The difference is -11.
3. P-14 to N-05: The difference is -9.
4. P-12 to N-04: The difference is -8.
5. P-08 to N-02: The difference is -6.
Based on the differences, it seems that there is a constant subtraction happening between the input and output numbers.
To find the algebraic expression that represents this pattern, we can write it as:
N = P - x
Where:
- N represents the output number.
- P represents the input number.
- x represents the constant subtraction value.
Now, let's find the value of x:
From the given data:
N-10 = P-24 - x
Substituting the values, we get:
-10 = -24 - x
Rearranging the equation, we find:
x = -10 + 24
x = 14
Therefore, the algebraic expression that relates the input and output numbers is:
N = P - 14
To verify if this expression holds true for the other values, let's check:
For P-18 (input), we substitute it in:
N = 18 - 14
N = 4
- Output is N-04.
For P-14 (input):
N = 14 - 14
N = 0
- Output is N-00.
For P-12 (input):
N = 12 - 14
N = -2
- Output is N-02.
For P-08 (input):
N = 8 - 14
N = -6
- Output is N-06.
As we can see, the algebraic expression N = P - 14 fits all the given data, confirming the relationship between the input and output numbers.
Therefore, the answer to the math problem is N = P - 14.