What are the factors of x² – 100?
The expression x² – 100 is a difference of squares, which can be factored using the formula a² – b² = (a – b)(a + b). In this case, we can identify a as x and b as 10 since 100 is equal to 10². Using the formula, we can factor the expression: x² – […]
If You Flip a Coin 3 Times, What Is the Probability of Getting 1 Heads?
To determine the probability of getting exactly 1 heads when flipping a coin 3 times, we start by recognizing that each flip has two possible outcomes: heads (H) or tails (T). First, we calculate the total number of outcomes when flipping a coin 3 times. Since there are 2 outcomes for each flip, the total […]
What does ‘in terms of x’ mean?
The phrase ‘in terms of x’ is commonly used to indicate that something is being expressed with respect to a specific variable or parameter, which in this case is ‘x’. Essentially, it means that all considerations, interpretations, or explanations are focused around the variable ‘x’. For example, if someone says, ‘Let’s discuss the project in […]
What is the greatest common factor of 42, 126, and 210?
The greatest common factor (GCF) of 42, 126, and 210 is 42. To find the GCF, we first need to look at the prime factorization of each number: 42 = 2 × 3 × 7 126 = 2 × 3² × 7 210 = 2 × 3 × 5 × 7 Next, we identify the […]
What is the solution set of 4xy and 2x²y = 0?
To solve the equation 4xy + 2x²y = 0, we start by factoring the expression. First, we can factor out the common term, which in this case is 2xy: 4xy + 2x²y = 2xy(2 + x) = 0 Now, for the product to be zero, at least one of the factors must be equal to […]
What is the solution to 4 2x 6 24?
To solve the equation represented by the expression 4 2x 6 24, we first need to interpret it correctly. This expression seems to imply some operations but lacks clear operators. If we assume it represents a multiplication or sequence of operations, we can rewrite it in a more understandable format. For example, if we read […]
What is the absolute value of 9?
The absolute value of a number refers to its distance from zero on the number line, regardless of direction. Therefore, the absolute value is always non-negative. In the case of 9, since it is already a positive number, its absolute value is simply 9 itself. To put it simply, we can express it as: |9| […]
What is 1 AM in Military Time?
1 AM in military time is represented as 0100 hours. In the military time format, each hour is expressed in four digits. The first two digits represent the hour, and the last two digits represent the minutes. Since 1 AM occurs before noon, it’s simply written as 01:00. However, in military time, we drop the […]
How to Solve the System of Equations: 2y = 6 and 3x + 6y = 18?
To solve the system of equations given by 2y = 6 and 3x + 6y = 18, we will first isolate the variables in these equations. Step 1: Solve the first equation for y. The first equation is: 2y = 6 To find y, we divide both sides by 2: y = 6 / 2 […]
What is the formula to convert Fahrenheit to Celsius, and how do you convert 50°C to Fahrenheit?
The formula to convert Fahrenheit (F) to Celsius (C) is given by: C = (5/9) × (F – 32) To convert 50°C to Fahrenheit, we first need to rearrange the formula to solve for F: F = (9/5) × C + 32 Now, substituting 50 for C: F = (9/5) × 50 + 32 Calculating […]