Question

Complete the table round your answers to nearest tenth
X. 3x+4. 2x^2+3
0. 4. 3
1. 7. 5
2. 10. 11
1.7. 13. 21
1.8. 16
1.75. 19

Answer 1

To complete the table with the given equations, we will calculate the values for \(3x + 4\) and \(2x^2 + 3\) for the specified \(x\) values. The answers will be rounded to the nearest tenth.

Here's a breakdown of the calculations for each \(x\) value:

1. **For \(x = 0\)**:
- \(3x + 4 = 3(0) + 4 = 4\)
- \(2x^2 + 3 = 2(0^2) + 3 = 3\)

2. **For \(x = 1\)**:
- \(3x + 4 = 3(1) + 4 = 7\)
- \(2x^2 + 3 = 2(1^2) + 3 = 5\)

3. **For \(x = 2\)**:
- \(3x + 4 = 3(2) + 4 = 10\)
- \(2x^2 + 3 = 2(2^2) + 3 = 11\)

4. **For \(x = 1.7\)**:
- \(3x + 4 = 3(1.7) + 4 = 5.1 + 4 = 12.1\)
- \(2x^2 + 3 = 2(1.7^2) + 3 = 2(2.89) + 3 = 5.78 + 3 \approx 8.8\)

5. **For \(x = 1.8\)**:
- \(3x + 4 = 3(1.8) + 4 = 5.4 + 4 = 12.4\)
- \(2x^2 + 3 = 2(1.8^2) + 3 = 2(3.24) + 3 = 6.48 + 3 \approx 9.5\)

6. **For \(x = 1.75\)**:
- \(3x + 4 = 3(1.75) + 4 = 5.25 + 4 = 12.3\)
- \(2x^2 + 3 = 2(1.75^2) + 3 = 2(3.0625) + 3 = 6.125 + 3 \approx 9.1\)

Now, we can complete the table:

| x | 3x + 4 | 2x² + 3 |
|-------|------------|-------------|
| 0 | 4.0 | 3.0 |
| 1 | 7.0 | 5.0 |
| 2 | 10.0 | 11.0 |
| 1.7 | 12.1 | 8.8 |
| 1.8 | 12.4 | 9.5 |
| 1.75 | 12.3 | 9.1 |

All values have been rounded to the nearest tenth.