devyy To convert the fraction 2 34/100 (which is two and thirty-four hundredths) into a decimal, you can follow these steps: Understand the components: The number 2 represents the whole number part, and 34/100 is the fractional part. Convert the fraction: Divide the numerator (34) by the denominator (100) to convert the fraction into decimal form: … Read more
To solve the system of linear equations 7x + 2y = 6 and 8x + y = 3, we can use the substitution or elimination method. Here, we’ll use the elimination method for clarity. First, let’s rewrite the equations: 1) 7x + 2y = 6 2) 8x + y = 3 Next, we want to … Read more
To evaluate the integral of the function x2 + 49 with respect to x, we will perform the following steps: Set up the integral: We can express the integral as follows: ∫ (x² + 49) dx Integrate each term separately: The integral of a sum can be separated into the sum of the integrals. Thus, … Read more
To solve the problem, let’s first clarify the process you’re following: Start with the number 4. Each day, you triple the current value and then subtract 2. Let’s break it down step by step: Day 0: Start with 4. Day 1: Triple the value: 4 x 3 = 12 Subtract 2: 12 – 2 = … Read more
Understanding the Factors of the Given Expression To find the factors of the expression comprising the terms: 15xy 45x 6y 18y 2 5x 3 5x 2y 6 We will first determine the prime factorization of each term: Prime Factorization 15xy: 3 × 5 × x × y 45x: 3² × 5 × x 6y: 2 … Read more
To differentiate the expression y + 3y + 4x² + 2x + 2xy + 1 with respect to x, we need to apply the rules of differentiation, including the product rule and the chain rule, since the expression contains both x and y. First, let’s simplify the expression: y + 3y can be combined to … Read more
Converting meters per second (m/s) to miles per hour (mph) is a straightforward process that involves a simple mathematical formula. Here’s how you can do it: The Conversion Factor One meter per second is equal to approximately 2.23694 miles per hour. This means that to convert a speed from meters per second to miles per … Read more
To simplify the expression 2x + 6y + 3x + 2 + 7y + 14x, we need to combine like terms. Like terms are terms that contain the same variable raised to the same power. The first step is to identify and group similar terms: For the terms with x: 2x, 3x, and 14x For … Read more
To find the distance between two points on a coordinate plane, you can use the Distance Formula. This formula is derived from the Pythagorean Theorem and is an essential tool in coordinate geometry. The Distance Formula is expressed as: d = √(x2 – x1)2 + (y2 – y1)2 Where: d = distance between the two … Read more
To find the approximate solutions of the quadratic equation 2x² + 9x + 8 = 0, we can apply the quadratic formula, which is: x = (-b ± √(b² – 4ac)) / 2a In our equation, the coefficients are: a = 2 b = 9 c = 8 Now, let’s calculate the discriminant (b² – … Read more