The function g(x) is defined as: g(x) = 3x + 8 To find the value of g(0), we substitute 0 in place of x: g(0) = 3(0) + 8g(0) = 0 + 8g(0) = 8 Therefore, the value of g(0) is 8. Next, we will find the value of g(12) by substituting 12 in place … Read more
To find the slope of the line that passes through the points (1, 3) and (3, 5), we can use the slope formula: Slope (m) = (y2 – y1) / (x2 – x1) In this case, we can assign: (x1, y1) = (1, 3) (x2, y2) = (3, 5) Now, substituting these values into the … Read more
To find the equation of a line that is perpendicular to the line represented by the equation 2x + y = 7, we first need to determine the slope of the given line.
To find the two numbers based on the given conditions, let’s denote the two numbers as x and y. According to the problem, the numbers are in the ratio of 56, which can be expressed mathematically as: x/y = 56 From this, we can express x in terms of y: x = 56y Now, the … Read more
To determine which expressions are factors of the polynomial represented by 500×3 * 108y18 * 6 * 5x * 3y6 * 25×2 * 15xy6 * 9y2, we can first simplify the expression by examining how a factorization works. 1. **Prime Factorization:** For each of the constants in the expression, we factor them into their prime … Read more
Calculating the Area of a Rhombus The area of a rhombus can be calculated using the lengths of its diagonals. The formula for the area (A) of a rhombus when the lengths of the diagonals (d1 and d2) are known is: A = (d1 × d2) / 2 In this case, the lengths of the … Read more
In mathematics, an even whole number is defined as an integer that is divisible by 2 without a remainder. This means that even numbers can be expressed in the form of 2n, where n is an integer. Considering the range between 0 and 2, the even whole numbers are limited to just two values: 0 … Read more
To determine the area of the figure in question, we first need a bit more context about the shape itself. However, I can guide you through the general process of calculating the area based on the type of figure. Let’s break down some common shapes: Rectangle: Area = length × width Triangle: Area = (base … Read more
To evaluate the expression (cube root of 7 multiplied by the square root of 7) over (the sixth root of 7 to the power of 5), we will break it down step by step. Let’s denote 7 as x for simplicity: Step 1: Write expressions in exponent formCube root of 7: 7^(1/3)Square root of 7: … Read more
To solve the equation 3x = 15, you’ll want to isolate the variable x. Here are the steps to do this: Identify the equation: You have the equation 3x = 15. Divide both sides by 3: This step will help you isolate x. So, you divide both sides of the equation by 3: 3x ÷ … Read more