When a car is described as moving in a straight line at a constant speed of 20 meters per second, it means that the vehicle travels in a linear path without changing direction. This speed of 20 meters per second indicates that for every second that passes, the car covers a distance of 20 meters. … Read more
To solve the equation where the quantity of x plus 20 over 2 equals 3x, we can start by expressing this mathematically: We have: (x + 20) / 2 = 3x To eliminate the fraction, we can multiply both sides of the equation by 2: x + 20 = 6x Next, we want to isolate … Read more
To find the value of x in the equation 35x + 7 = 0, we need to isolate x. Here’s a step-by-step breakdown: Start with the original equation: 35x + 7 = 0. Subtract 7 from both sides to begin isolating x: 35x + 7 – 7 = 0 – 7 Which simplifies to: 35x … Read more
To solve the equation x² – 14x + 17 = 96, we first need to rearrange it into standard form. We can do this by moving 96 to the left side of the equation: x² – 14x + 17 – 96 = 0 This simplifies to: x² – 14x – 79 = 0 Now we … Read more
To determine the next number in the series 2, 3, 4, 8, 9, 10, 20, 21, 22, let’s analyze the pattern: The series begins with 2, 3, and 4, which are consecutive numbers. After that, we have 8, 9, and 10. Again, these are consecutive numbers, but they follow the number 4. Next, we see … Read more
To arrange the numbers 23, 76, 18, and 910 from least to greatest, we start by comparing each of the values. The steps are as follows: First, we identify the smallest number. Here we have 18, which is less than both 23 and 76, and distinctly less than 910. Next, we evaluate the remaining numbers: … Read more
To solve for the values of x that satisfy the equation f(x) = 12, we first need to set up the equation based on the provided function: Given the function f(x) = 5x + 1 – 3, we can simplify it: f(x) = 5x – 2 Now, we want to find the value of x … Read more
To express the situation with all real numbers that are at most 95 or at least 55, we can break down the statement into two parts: The phrase “at most 95” means that the numbers can be equal to or less than 95. In inequality form, this can be written as: x ≤ 95. The … Read more
To solve the equation x² – 13x – 30 = 0 using the zero product property, we first need to factor the quadratic expression on the left side of the equation. The zero product property states that if the product of two factors equals zero, then at least one of the factors must also be … Read more