devyy To solve the equation x² – 13x – 30 = 0 using the zero product property, we first need to factor the quadratic expression on the left side of the equation. The zero product property states that if the product of two factors equals zero, then at least one of the factors must also be … Read more
To write the equation of a line, you can use the slope-intercept form, which is expressed as: y = mx + b In this equation: y is the dependent variable (output). x is the independent variable (input). m represents the slope of the line. b signifies the y-intercept, which is the point where the line … Read more
To find the x-intercept and y-intercept of the equation y = x² + 6, we need to evaluate the function at specific points. X-Intercept: The x-intercept occurs when y = 0. To find it, we set the equation equal to zero: 0 = x² + 6 Rearranging gives us: x² = -6 Since the square … Read more
To determine the values of x that are not in the domain of a function g, you first need to understand what makes a value invalid for that function. In general, the domain of a function includes all the possible input values (x-values) for which the function is defined. Here are some common reasons why … Read more
Understanding the Values of Sine, Cosine, and Tangent To find the sine, cosine, and tangent values for the angle 8π/4 radians, we first simplify the angle: 8π/4 = 2π (since 8 divided by 4 equals 2). The angle 2π radians corresponds to a full rotation (360 degrees) around the unit circle. Therefore, it lands on … Read more
To find the sale price of a cell phone that is currently available for $15 off its regular price of $75, we can follow a simple calculation. First, we start with the regular price of the cell phone, which is $75. From this amount, we then subtract the discount amount of $15. This calculation is … Read more
The international system of numeration is a method for writing numbers that helps to distinguish the value of each digit according to its position. Here’s how you would write the given numbers: 1. 78921092 This number can be broken down as follows: 70 million 9 hundred thousand 80 thousand 2 hundred 10 tens 2 units … Read more
Whole numbers, fractions, and decimals are all terms used in the realm of mathematics to describe different types of numbers. While ‘whole number’ is a term that specifically refers to non-negative integers (like 0, 1, 2, 3, etc.), ‘fraction’ represents a part of a whole, such as 1/2 or 3/4, and ‘decimal’ conveys numbers in … Read more
Solution Set for the Equation 6x² – 24 = 0 To find the solution set for the equation 6x² – 24 = 0, we can follow these steps: Step 1: Add 24 to both sides First, let’s isolate the term with x² by adding 24 to both sides of the equation: 6x² – 24 + … Read more
To find the x-intercept of the graph given by the equation 4x + 3y + 5, we need to determine the point where the graph intersects the x-axis. This occurs when the value of y is equal to zero. Start by setting y = 0 in the equation: 4x + 3(0) + 5 = 0 … Read more