Factorise the equation 6x² + 5x + 6
To factorise the quadratic equation 6x² + 5x + 6, we need to look for two numbers that multiply to the product of the coefficient of x² (which is 6) and the constant term (which is 6) and also add up to the coefficient of x (which is 5). First, we calculate the product: 6 […]
What is 1 percent of 7 billion?
To find 1 percent of 7 billion, you simply need to calculate 1% of 7,000,000,000. This is done by multiplying 7 billion by 0.01 (which represents 1 percent). Here’s the calculation: 1% of 7,000,000,000 = 7,000,000,000 x 0.01 = 70,000,000. So, 1 percent of 7 billion is 70 million. This means if you take 7 […]
What is a solution to x^6 + 2x – 60?
To find the solutions for the equation x6 + 2x – 60 = 0, we can start by evaluating potential rational roots using the Rational Root Theorem or through numerical methods. First, let’s rearrange the equation to look for rational roots: x6 + 2x – 60 = 0 Next, we can try substituting some integer […]
How Much Is a Quart?
A quart is a unit of volume that is commonly used in the United States and in some other countries for measuring liquids. Specifically, one quart is equal to 32 fluid ounces, or about 0.946 liters. In cooking and baking, you may encounter recipes that call for quarts, especially when dealing with larger quantities of […]
How do you write 2.5 million in scientific notation?
To write 2.5 million in scientific notation, you follow a simple process. First, identify the place value of the number. The number 2.5 million is expressed as 2,500,000. In scientific notation, we want to express numbers in the form of a × 10n, where a is a number between 1 and 10, and n is […]
What is Multiplicity in a Polynomial?
Multiplicity in a polynomial refers to the number of times a particular root or zero appears in the polynomial. When a polynomial is factored, you can identify its roots, and the multiplicity indicates how many times each root is repeated. For instance, consider the polynomial expression f(x) = (x – 2)²(x + 3). In this […]
24 is 60% of what number?
To find out what number 24 is 60% of, we can set up a simple equation. Let’s denote the unknown number as X. We know that 60% can be expressed as 0.6 in decimal form. Therefore, we can write the equation: 0.6 * X = 24 To solve for X, we divide both sides of […]
What is 10 of 10?
When we talk about ’10 of 10′, we are typically referring to the concept of a perfect score or completion in various contexts. For instance, if you scored a 10 out of 10 on a test, it means you answered every question correctly. Mathematically, ’10 of 10′ means that you have all 10 parts of […]
What is the coefficient of the variable in the expression 4, 3x, 7, 6?
In the expression 4, 3x, 7, 6, we are looking for the coefficient of the variable x. The coefficient is simply the numerical factor that is multiplied by the variable. In this case, the term containing the variable is 3x. Here, 3 is the coefficient of the variable x. Therefore, the coefficient of the variable […]
Which are the solutions of the quadratic equation x² + 5x?
To find the solutions of the quadratic equation x² + 5x = 0, we can factor the equation. First, we look for common factors in the terms. The equation can be rewritten as: x(x + 5) = 0 Now, we can set each factor equal to zero: x = 0 x + 5 = 0 […]