devyy The equation you provided is a quadratic equation of the form ax² + bx + c = 0, where a = 1, b = 7, and c = 5. To find the solutions, we can use the quadratic formula: x = (-b ± √(b² – 4ac)) / 2a Now, let’s plug in the values: b² … Read more
To determine how many solutions the linear system defined by the equations y = 6x² and y = 12x²y⁴ has, we need to analyze the system step-by-step. 1. **Understanding the equations**: Both equations are nonlinear due to the presence of the variables raised to a power greater than one. The first equation is a simple … Read more
Solving the System of Equations Graphically To solve the system of equations defined by: Equation 1: 2x + y = 3 Equation 2: 4x + 2y = 2 we will follow these steps: Step 1: Rewrite the Equations in Slope-Intercept Form First, we need to express both equations in the slope-intercept form (y = mx … Read more
Understanding the Classification of Numbers To properly classify the numbers 2×4, 8×5, 2×2, and 5, we first need to understand their mathematical forms: 2×4: This represents the multiplication of 2 and 4, which equals 8. 8×5: This indicates the multiplication of 8 and 5, resulting in 40. 2×2: This signifies the multiplication of 2 and … Read more
To solve the equation -2n + 46 = -9 + 42n + 1, we’ll first simplify both sides of the equation. Start by combining like terms on the right side: -9 + 1 = -8 This simplifies our equation to: -2n + 46 = 42n – 8 Next, we want to get all the terms … Read more
To determine the percent decrease when a bank account balance goes from $300 to $60, we can follow these steps: Calculate the decrease in balance: The decrease in balance is calculated by subtracting the final balance from the initial balance. Decrease = Initial Balance – Final Balance Decrease = $300 – $60 = $240 Calculate … Read more
To find the x and y intercepts of a parabola, you need to understand the standard equations of parabolas and how they relate to the coordinate system. Finding the Y-Intercept The y-intercept of a parabola is the point where it intersects the y-axis. To find it, follow these steps: Set x = 0 in the … Read more
To find the circumference of a circle when you have the diameter, you can use the formula C = 2πr, where: C represents the circumference of the circle, π (Pi) is approximately 3.14 or 22/7, r is the radius of the circle. Since the diameter is given as 28 inches, you first need to find … Read more
A unit fraction is defined as a fraction where the numerator is 1 and the denominator is a positive integer. To determine if a fraction is a unit fraction, you can follow these simple steps: Check the Numerator: Examine the numerator of the given fraction. For a fraction to be a unit fraction, the numerator … Read more
A regular hexagon can be divided into six equilateral triangles. To calculate the area of the hexagon, we can use the formula for the area of one of these triangles and then multiply by six. 1. **Understanding the Radius**: In the context of a regular hexagon, the radius refers to the distance from the center … Read more