devyy The coordinate point (85, 5) on a graph where the x-axis represents quantity and the y-axis represents price provides specific information about a particular situation in a business or economic context. Let’s break it down: X-axis (Quantity): The first number in the coordinate, which is 85, refers to the quantity of goods or services being … Read more
The term ‘coefficient’ often refers to a numerical factor in a mathematical expression, frequently in the context of polynomial terms. However, in your provided expression ‘6, 65, 10, 4’, it’s unclear if it’s part of a polynomial or represents a data set. Let’s clarify: If these numbers are coefficients in a polynomial, you would typically … Read more
To calculate the total displacement of an object that moves in various directions, we need to consider the starting and ending points of the object’s journey. 1. **Movement Breakdown**: The object starts at a point, let’s call it Point A. It moves 40 meters north to Point B. From Point B, it moves 40 meters … Read more
To find the minimum vertical distance between the two parabolas described by the equations y = x² + 1 and y = x + x², we first need to define the vertical distance between the two functions. This distance can be represented as: d(x) = (x² + 1) – (x + x²) = 1 – … Read more
The sequence you’ve given consists of prime numbers, which are numbers greater than 1 that have no divisors other than 1 and themselves. The prime numbers you’ve listed are: 11 13 17 19 To identify the next prime number, we need to look at the numbers that follow 19. The next consecutive integers are 20, … Read more
To find the points on the cone defined by the equation z2 = x2 + y2 that are closest to the point (2, 2, 0), we will employ the method of Lagrange multipliers. First, we recognize that the distance D from any point on the cone (x, y, z) to the point (2, 2, 0) … Read more
To find the slope of a trend line that passes through two points, you can use the slope formula, which is: Slope (m) = (y2 – y1) / (x2 – x1) For the points (3, 3) and (18, 26): Point 1 (x1, y1) = (3, 3) Point 2 (x2, y2) = (18, 26) Now, substitute … Read more
To determine if a function is differentiable at a specific point, you need to follow a few important steps: Check Continuity: First, ensure the function is continuous at that point. A function must be continuous in order to be differentiable. You can check continuity by examining the limit of the function as it approaches the … Read more
To calculate the remainder when multiplying the numbers 3, 4, 2, 3, 2, 2, 14, and 2, we first need to perform the multiplication: 1. First, multiply the numbers: 3 * 4 = 12 2. Next, multiply by 2: 12 * 2 = 24 3. Then, continue with another multiplication by 3: 24 * 3 … Read more
The equation of a circle is commonly expressed in the standard form: (x – h)² + (y – k)² = r² In this formula: (h, k) represents the coordinates of the center of the circle. r is the radius of the circle. For our specific case: The center of the circle is at the origin, … Read more