devyy Finding the Product of f(x) and g(x) To find the product of the two given functions, we first need to define them clearly: f(x) = log10(x) g(x) = 5×2 The product of these two functions, denoted as f(x) * g(x), can be expressed mathematically as: f(x) * g(x) = log10(x) * 5×2 Now, we can … Read more
To solve the equation hj2 based on the information provided, we need to understand what the notations mean. Let’s break down the components: – The expression hx = 3x + 1: This indicates a function h of x that yields 3x + 1 as its output. – The expression jx = 2x: This indicates a … Read more
To solve the quadratic equation 6x² + 10x = 0, we can start by factoring out the common terms. 1. **Factor the Equation**: First, we can factor out the common coefficient: 6x² + 10x = 0 Distributing this gives: 2x(3x + 5) = 0 2. **Set Each Factor to Zero**: To find the solutions, we … Read more
To evaluate the performance of B2 in comparison to A2 and B3, follow these steps: 1. Define Key Performance Indicators (KPIs) Before you start the evaluation, determine the KPIs that are most relevant to your business objectives. Common KPIs for comparing performance may include: Sales Revenue: Look at the total revenue generated by B2 versus … Read more
Finding the Volume of the Solid To find the volume of the solid that lies within both the cylinder defined by the equation x² + y² ≤ 1 and the sphere defined by x² + y² + z² ≤ 4, we need to first understand the boundaries set by these geometric shapes. Understanding the Cylinder … Read more
To find the parametric equations for a line that passes through a specific point and is perpendicular to a given plane, we must first identify the normal vector to the plane and use that to define the direction of the line. 1. **Identify the normal vector to the plane:** The equation of the plane is … Read more
To find the equation of the line that passes through the points (3, 7) and (6, 9), we can use the slope-intercept form of a line, which is: y = mx + b where m is the slope of the line and b is the y-intercept. First, we need to calculate the slope (m) using … Read more
To calculate the total value of Mr. Grocer’s eggs, you need to multiply the number of dozen eggs he has by the price per dozen. So, in this case, Mr. Grocer has 421 dozen eggs, and each dozen is valued at $0.59. Here’s the calculation: Total Value = Number of Dozens x Price per Dozen … Read more
To solve the quadratic equation 2x² + 15x + 1 = 0, we can use the quadratic formula: x = (-b ± √(b² – 4ac)) / 2a In this equation, a, b, and c are the coefficients from the standard form of a quadratic equation, which is ax² + bx + c = 0. For … Read more
The gross profit of a company is determined by subtracting the cost of goods sold (COGS) from the total sales revenue. In this scenario, the company has total sales of $695,000 and a cost of goods sold of $278,000. To calculate the gross profit, you can use the following formula: Gross Profit = Sales – … Read more