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What is the first step when rewriting y = 6x² + 18x + 14 in the form y = a(x – h)² + k?
Answer: The first step when rewriting y = 6x² + 18x + 14 in the form y = a(x – h)² + k is to factor out the 6 from the x² and x terms
January 19, 2024
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What is the first step when rewriting y = 3x² + 9x – 18 in the form y = a(x – h)² + k?
Answer: The first step is to factor out the coefficient of x² (3) from the first two terms, giving y = 3(x² + 3x) – 18. Understanding the Vertex Form Rewriting a quadratic equation in vertex form, y = a(x – h)² + k, involves completing the square. The first step is to factor the […]
January 19, 2024
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Use synthetic division to solve (x³ + 1) ÷ (x – 1). What is the quotient?
Answer: The quotient is x² + x + 1. Mastering Synthetic Division Synthetic division is a simplified method of dividing a polynomial by a binomial of the form (x – c). For (x³ + 1) ÷ (x – 1), set up the synthetic division and you’ll find the quotient is x² + x + 1. […]
January 19, 2024
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What number should be added to both sides of the equation to complete the square (x² – 6x = 5)?
Answer: 9 should be added to both sides to complete the square in the equation x² – 6x = 5
January 19, 2024
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In which quadrant is the number 6 – 8i located on the complex plane?
Answer: 6 – 8i is located in the fourth quadrant
January 9, 2024
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What is 0.05 as a fraction?
Answer: 1/20 Decimal to Fraction Conversion Converting 0.05 to a fraction involves recognizing that it represents 5 out of 100, or 5/100. Simplifying this fraction gives us 1/20. Converting decimals to fractions is a key skill in mathematics, as it aids in understanding different representations of numbers and in various calculations. This conversion is practical […]
December 28, 2023
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