devyy The perimeter of a parallelogram can be calculated using the formula: Perimeter = 2 × (Length + Width) In this case, we can identify the lengths of the sides of parallelogram LMNO: Length (LM) = 22 cm Width (MN) = 18 cm Now, substituting the given values into the formula we have: Perimeter = 2 … Read more
The probability of any event is a measure of how likely it is to occur, typically expressed as a number between 0 and 1, or alternatively as a percentage between 0% and 100%. For an event that is certain to occur, we assign a probability of 1 (or 100%). This means that there is no … Read more
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