Add 12 to both sides: 3x^2 = 12. Divide by 3: x^2 = 4. Thus, x = ±2.

Using the quadratic formula x = [-b ± √(b² - 4ac)] / 2a gives x = [-8 ± √(64 - 48)] / 8 = [-8 ± 4] / 8.

Factoring gives (4x - 3)(x - 5) = 0, so x = 3 or x = 5.

Subtract 3x from both sides: 2x - 2 = 6. Add 2: 2x = 8. Divide by 2: x = 4.

Distributing gives 5x - 6 + 2x = 4. Combining like terms: 7x - 6 = 4. Thus, 7x = 10, x = 10/7.

This is a perfect square: (x + 3)^2 = 0, so x = -3.

Volume = (4/3)πr³ = (4/3)π(5)³ = (500/3)π ≈ 523.60 cm³.

The arrangement is A, C, D, E, B. D is opposite to B.

Sales in Year 1 were $1000 and in Year 2 were $1300. Growth rate = ((1300 - 1000) / 1000) * 100 = 30%.

The bar graph shows that 1500 units of Product C were sold in Q3.

Sales increased from 120 units in Q2 to 150 units in Q3, which is an increase of 30 units.

Amount = Principal * (1 + Rate)^Time = 1000 * (1 + 0.06)^2 = 1000 * 1.1236 = $1123.60.

The code reverses the digits. So, 456 becomes 654.

Each digit is increased by 3.

The digits are reversed.

The letters are reversed in the alphabet.

B=2, A=1, D=4; sum = 2 + 1 + 4 = 7.

Each letter corresponds to its position in the alphabet.

Each letter is shifted forward by one position.

Each letter is shifted forward by one position.

Each letter is shifted forward by one position.

Sugar from 20% solution = 2L, from 30% = 1.5L. Total sugar = 3.5L, total volume = 15L, new % = (3.5/15)*100 = 23.33%.

Water = 20%, Alcohol = 80%. Ratio = 80:20 = 4:1.

Let the number be x. Then, 0.25x = 50. Solving gives x = 50 / 0.25 = 200.

2x = 11 - 3 = 8, so x = 8/2 = 4.

Adding 3 to both sides gives 2x = 8, so x = 4.

2x = 10, so x = 5.

Using the quadratic formula x = [-b ± √(b² - 4ac)] / 2a, we find x = [-3 ± √(9 + 40)] / 4.

Dividing the equation by 2 gives x^2 + 4x + 3 = 0, which factors to (x + 1)(x + 3) = 0.

16 = 2^(4), so x = 4.