To determine whether a function is odd, even, or neither, we can use the definitions of even and odd functions in mathematics. Here’s how you can do it: Understanding Even Functions: A function f(x) is considered even if it satisfies the property f(-x) = f(x) for all x in its domain. This means that the … Read more
To calculate 2 raised to the 12th power, we are essentially multiplying the number 2 by itself 12 times. This can be expressed mathematically as: 2^12 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 When we perform this multiplication, … Read more
The value of 1 raised to the power of 5 is simply 1. In mathematical terms, when you raise a number to a certain power, you multiply that number by itself as many times as indicated by the power. For example, calculating 1 to the power of 5 entails performing the multiplication: 1 × 1 … Read more
To find the value of x in the equation 2x + 3 = 3x + 4, we need to isolate x on one side of the equation. Let’s go through the steps: Start with the original equation: 2x + 3 = 3x + 4 Subtract 2x from both sides: 3 = 3x – 2x + … Read more
To convert the improper fraction 17/4 into a mixed number, you need to follow these simple steps: Divide the numerator by the denominator: In this case, divide 17 by 4. When you do this, you’ll find that 4 goes into 17 a total of 4 times, which gives you a quotient of 4. Find the … Read more
The sequence provided is a list of prime numbers. Prime numbers are defined as natural numbers greater than 1 that cannot be formed by multiplying two smaller natural numbers. They are only divisible by 1 and themselves. Let’s break down the sequence: 2 – the first prime number 3 – the second prime number 5 … Read more
When we raise a number to a power, we are multiplying that number by itself a certain number of times. In this case, we are looking at the expression 14. To break it down, when you raise 1 to the power of 4, you’re essentially doing the following multiplication: 1 × 1 × 1 × … Read more
To find the equation of the line that passes through the points (2, 1) and (4, 5), we can use the slope-intercept form of the line, which is given by: y = mx + b where m is the slope and b is the y-intercept. First, we need to calculate the slope (m) of the … Read more
To find what 23 out of 50 is as a percentage, you can follow a straightforward mathematical process. Here’s a step-by-step breakdown: Step 1: Divide the part (23) by the whole (50). Calculation: 23 ÷ 50 = 0.46 Now that we have the decimal, the next step is to convert that decimal into a percentage. … Read more