To simplify the expression a²a³, you can use the property of exponents that states when you multiply two numbers with the same base, you add their exponents. In this case, both terms have the same base, which is a. The exponents are 2 and 3. According to the property: am an = am+n Now, applying … Read more
The factors of 16 are the numbers that can be multiplied together in pairs to yield the product of 16. To find these factors, we can start by identifying the numbers that divide 16 evenly without leaving a remainder. Let’s break it down: 1 x 16 = 16 2 x 8 = 16 4 x … Read more
To find the solution to the equation 9w + 4 + 7w + 53w – 2 = 0, we first need to combine like terms. Here’s how we can solve it step by step: Combine like terms: Look for terms that contain the variable w and constants separately. The w terms are: 9w, 7w, and … Read more
Solving the Function f(x) = 2x + 6 To solve the equation f(x) = 2x + 6 for f(1), we first need to substitute x = 1 into the function. Step 1: Substitute x Replace x in the equation with 1: f(1) = 2(1) + 6 Step 2: Solve the Equation Now, calculate the value: … Read more
To find an nth degree polynomial function with given zeros and a leading coefficient of 1, follow these steps: Identify Zeros: You are given that the zeros of the polynomial are 2 and 3i. Since the polynomial must have real coefficients, it is important to note that complex zeros come in conjugate pairs. Therefore, if … Read more
To solve the equation 2x + 3 + 5x = 52x + 6, we first need to combine like terms on the left side of the equation. 1. Combine the x terms on the left side: 2x + 5x = 7x This simplifies our equation to: 7x + 3 = 52x + 6 2. Next, … Read more
The quadratic formula is a powerful tool that can help us solve quadratic equations of the standard form ax² + bx + c = 0. The formula itself is expressed as: x = (-b ± √(b² – 4ac)) / (2a) To use the quadratic formula for the equation 7x² + 9x = 0, we first … Read more
In the expression 5m² + mn + 4n + 7, we can identify the individual terms by looking for separate segments that are combined by addition or subtraction. Each term typically includes a coefficient (a number) and variables raised to a power. Breaking it down: 5m² – This is one term, with a coefficient of … Read more
To find the measures of angles using an algebraic equation represented in terms of x, we can follow these steps: Understand the problem: Begin by determining which angles are involved and how they relate to each other. For instance, in a triangle, the sum of the angles equals 180 degrees. Set up the equation: Introduce … Read more
In any scientific research or data analysis, understanding the distinction between independent and dependent variables is crucial for setting up experiments, interpreting data, and formulating conclusions. Let’s delve into what these terms mean: Independent Variables: An independent variable is the factor or condition that is manipulated or changed by the researcher in an experiment. It … Read more