Complete the table and find the rule: Input [x]: 1, 2, 4, (missing value) Output [y]: 1, 4, 9, 25

April 23, 2026Mathematics

ScanSolve AI Answer

April 23, 2026

Answer

1^2$

To complete the table and find the rule, we need to identify the relationship between the input $[x]$ and the output $[y]$ .

The given values are: Input $[x]$ : 1, 2, 4, (missing value) Output $[y]$ : 1, 4, 9, 25

Step 1: Analyze the outputs. Notice that the outputs are perfect squares: $1 = 1^2$ $4 = 2^2$ $9 = 3^2$ $25 = 5^2$

Let $k$ be the base of the square, so $y = k^2$ . We can list the corresponding $k$ values: For $x=1

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Quick Answer

To complete the table and find the rule, we need to identify the relationship between the input [x] and the output [y].

Asked on April 23, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 23, 2026

To complete the table and find the rule, we need to identify the relationship between the input [x] and the output [y]. The given values are: Input [x]: 1, 2, 4, (missing value) Output [y]: 1, 4, 9, 25 Step 1: Analyze the outputs. Notice that the outputs are perfect squares: 1 = 1^2 4 = 2^2 9 = 3^2 25 = 5^2 Let k be the base of the square, so y = k^2. We can list the corresponding k values: For $x=1