How to Solve the Quadratic Equation x² + 7x + 12 = 0?
To solve the quadratic equation x² + 7x + 12 = 0, we can factor it or use the quadratic formula. In this case, factoring is straightforward. First, we need to look for two numbers that multiply to 12
Find All the Multiples of 9 Up to 100
To find all the multiples of 9 up to 100, we start with the number 9 and keep adding 9 until we reach or exceed 100. The multiples of a number are the products of that number and the integers. Starting from 9: 9 x 1 = 9 9 x 2 = 18 9 x […]
What is the factored form of 15x² + 14x + 8?
To factor the quadratic expression 15x² + 14x + 8, we need to look for two numbers that multiply to the product of the coefficient of x² (which is 15) and the constant term (which is 8), giving us 15 * 8 = 120, and that also add up to the coefficient of x (which […]
A square measures 9 inches on each side. What is its area rounded off to the nearest whole number?
The area of a square is calculated by multiplying the length of one side by itself. In this case, since each side measures 9 inches, the area can be computed as follows: Area = side × side = 9 inches × 9 inches = 81 square inches. Since 81 is already a whole number, rounding […]
What is the distance between a and b on the real line?
The distance between two points a and b on the real line is calculated using the formula |a – b|. This formula works by taking the absolute value of the difference between the two numbers. The absolute value ensures that the distance is always a non-negative number, regardless of the order of a and b. […]
What is 10 to the 1 power?
10 to the 1 power, written as 101, is equal to 10. This means that when you take 10 and raise it to the power of 1, you simply have 10 itself. In other words, any number raised to the power of 1 is that number. This concept is fundamental in mathematics and helps in […]
What is the reciprocal of 12?
The reciprocal of a number is defined as 1 divided by that number. Therefore, the reciprocal of 12 can be calculated as follows: Reciprocal of 12 = 1 / 12 = 0.0833 (approximately) This means that if you multiply 12 by its reciprocal (0.0833), the result will be 1. In this case, the reciprocal of […]
0, 1, 2, 3, 4 are what kind of numbers?
The numbers 0, 1, 2, 3, and 4 are classified as whole numbers. Whole numbers include all the natural numbers (which are 1, 2, 3, 4, …) along with the number 0. Therefore, 0 is considered a whole number, even though it is not a natural number. This makes the set of whole numbers {0, […]
What are all the factors of the numbers 24, 15, 21, 27, 12, 20, 18, 23, and 36?
The factors of a number are the integers that can be multiplied together to produce that number. Let’s break down the factors for each of the numbers you’ve provided: Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 15: 1, 3, 5, 15 Factors of 21: 1, 3, 7, 21 Factors […]
What are the three dots placed in a set to show that the set continues in the same manner called?
The three dots you are referring to are called ellipsis. In mathematics, an ellipsis is used to indicate that a set continues indefinitely or that a pattern carries on. For example, if we write the set of natural numbers as {1, 2, 3, …}, the ellipsis signifies that the sequence continues indefinitely with 4, 5, […]