devyy To determine the first term of the polynomial 1 + 6x² + 5x⁴ + 3x³ when it is arranged in descending order, we need to identify the term with the highest degree of x. In the given expression: 1 is a constant term (degree 0) 6x² has a degree of 2 3x³ has a degree … Read more
To find the equation of a line parallel to a given line, we first need to understand the slope of the original line. The equation provided is: 37y = 89x + 7 We start by rewriting this equation in slope-intercept form (y = mx + b), where m represents the slope. To do this, we … Read more
To determine the next three terms in the sequence 8, 24, 72, 216, we need to first identify the pattern or rule governing the sequence. Let’s analyze the existing terms: The first term is 8. The second term is 24. The third term is 72. The fourth term is 216. We can look at the … Read more
To verify AB for the given values of a and b, we need to follow these steps: Identify Values: We have three values for a: 75, 118, and 25. Also, we have three values for b: 84, 125, and 130. Let’s denote the operation we are verifying as AB = a * b. Calculate AB: … Read more
To find the composition of the functions g(x) and f(x), denoted as g(f(x)), we will substitute f(x) into g(x). Given: f(x) = 5x + 1 g(x) = 3x + 9 Now, we will compute g(f(x)): First, we need to replace x in g(x) with f(x): g(f(x)) = g(5x + 1) Next, substitute f(x) into g(x): … Read more
When we say that x – 1 is a factor of the polynomial f(x), it implies that f(1) = 0. This is a direct consequence of the Factor Theorem, which states that if x – c is a factor of f(x), then f(c) = 0. Thus, if x – 1 is a factor, we can … Read more
Diagrams of Angles with Common Points Understanding angles and their intersections is crucial in geometry. Here’s a detailed look at different scenarios of angle intersections: a. Two Angles with One Common Point This scenario occurs when two angles share a single vertex point. Here is a representation: A B b. Two Angles with Two Common … Read more
The SI unit for measuring length is the meter, which is represented by the symbol m. The meter serves as the fundamental unit of length in the International System of Units (SI) and is used worldwide for various applications, ranging from everyday measurements to scientific and engineering contexts. The definition of a meter has evolved … Read more
To solve the problem, we need to find the composite function fg at x = 1, where f(x) = x² and g(x) = x² + 7x + 9. Let’s break down the steps: Calculate g(1): Substitute 1 into the function g(x). g(1) = (1)² + 7(1) + 9 = 1 + 7 + 9 = … Read more
The function you are referring to is f(x) = |x – 2| + 4, which is an absolute value function. To find the vertex of this function, we first need to understand the general form of an absolute value function, which is given by f(x) = |x – h| + k, where (h, k) is … Read more