devyy 10 to the 9th power, mathematically expressed as 109, is a calculation that represents 10 multiplied by itself 9 times. This is part of a larger category of mathematics known as exponentiation, which deals with the operation of raising a number to a power. When you calculate 109, you start with 10: 10 x 10 … Read more
To find the inverse function of f(x) = 2x + 3, we need to follow a few systematic steps. Start by replacing f(x) with y: We rewrite the function as y = 2x + 3. Swap x and y: This gives us x = 2y + 3. Solve for y: We need to isolate y … Read more
To find the solutions of the equation x² + 5x + 8 = 0, we can utilize the quadratic formula. The quadratic formula is given by: x = (-b ± √(b² – 4ac)) / 2a For our equation, the coefficients are: a = 1 b = 5 c = 8 Now we can plug these … Read more
To express the number 13 million in scientific notation, we first need to understand the format of scientific notation. Scientific notation is a way of writing numbers that are too large or too small in a more manageable form. It is typically expressed as: N x 10k, where N is a number greater than or … Read more
To express the number 2,500,000 in scientific notation, you want to write it as a product of a number between 1 and 10 and a power of 10. Here’s the step-by-step process: Identify the significant digits: In the number 2,500,000, the significant digits are 2.5. We consider only the digits that are necessary to convey … Read more
The expression 8134 represents a mathematical calculation where 81 is multiplied by itself a total of 34 times. To find this value, it helps to understand the underlying principles of exponentiation. First, notice that 81 can be expressed as a power of 3: 81 = 34. Therefore, we can rewrite the expression: 8134 = (34)34 … Read more
To solve the equation x² – 36 – 5x = 0, we can rearrange it into the standard form of a quadratic equation, which is: x² – 5x – 36 = 0 Now, we’ll use the quadratic formula to find the solutions for x. The quadratic formula is: x = (-b ± √(b² – 4ac)) … Read more
To convert the improper fraction 11/7 into a mixed number, we follow a simple process. Step 1: Divide the Numerator by the Denominator We start by dividing the numerator (11) by the denominator (7). 11 divided by 7 equals 1 with a remainder of 4. Step 2: Write the Whole Number Part The result from … Read more
To solve the equation 2x + 10 = 13, we need to isolate the variable x. Follow these steps: Start with the original equation: 2x + 10 = 13. Subtract 10 from both sides to eliminate the constant term on the left side: 2x + 10 – 10 = 13 – 10 Which simplifies to: … Read more
To find the factors of the quadratic expression x² + 4x + 5, we can use the method of factoring or the quadratic formula. A standard quadratic expression can be factored into the form: (x + a)(x + b), where ab = c (the constant term) and a + b = b (the coefficient of … Read more