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To calculate the final price of an item after a store applies a markup, you first need to understand how the markup percentage works. In this case, the store buys an item for $50. A markup of 100% means that the store is adding an amount equal to the cost of the item to its … Read more

The length of a line segment is determined by the distance between its two endpoints. In this context, we have four different line segments: 9 units, 12 units, 15 units, and 18 units. To break it down: LJ = 9 units: This segment measures 9 units in length. LJ = 12 units: This segment measures … Read more

The function you provided is a linear equation in the slope-intercept form, which is expressed as y = mx + b. In this equation, m represents the slope of the line, and b represents the y-intercept. For the function f(x) = 4x + 12, we can identify the values directly: Slope (m): 4 Y-intercept (b): … Read more

To find the amount of the discount on an item with a price of $234 and a discount rate of 15%, you can follow these steps: Convert the percentage to a decimal: To do this, divide the percentage by 100. So, 15% becomes 0.15. Multiply the original price by the decimal: Now, take the original … Read more

A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the numerator is an integer and the denominator is a non-zero integer. This means that both integers and non-integers can be classified as rational numbers, providing a broad spectrum of possibilities within this classification. … Read more

To find the other solution of the quadratic equation x² + 2x – 15 = 0, we can use the fact that quadratic equations can often be factored or solved using the quadratic formula. Since we already know one solution is x = 3, we can use this information to find the other solution. First, … Read more

An even function is defined as a function that satisfies the condition f(-x) = f(x) for all x in its domain. To determine which of the given functions are even, we’ll evaluate each one: f(x) = 12: This is a constant function. When we evaluate f(-x), we get f(-x) = 12. Since f(-x) = 12 … Read more

Rewriting f(x) = x² – 4x + 1 in Vertex Form To rewrite the function f(x) = x² – 4x + 1 in vertex form, we will use the completing the square method. Vertex form of a quadratic function is expressed as: f(x) = a(x – h)² + k where (h, k) is the vertex … Read more

To find the radius of a circle when you know its circumference, you can follow a straightforward mathematical approach. The relationship between the circumference (C) and the radius (r) of a circle is given by the formula: C = 2 * π * r Here, π (pi) is a constant approximately equal to 3.14159. To … Read more

To find the measure of angle x in the figure, we need a few key details about the angles related to it. If we have a diagram you are working with, it could provide additional information, such as adjacent angles, supplementary angles, or any relationships involving parallel lines and transversals. Here’s a general method to … Read more