2018年6月5日 · The algebraic expression for the given phrase is 3 (x + 8) 5 (x + 11) .Hence, the correct answer is option A. This expression represents five times the sum of a number and eleven divided by three times the sum of the number and eight.

2021年10月13日 · To find x, we can multiply both sides of the equation by 11 to eliminate the fraction. Multiply both sides by 11: − 5 × 11 = 11 x × 11 − 55 = x; So, we find that x = − 55. This means that if you substitute − 55 back into the original equation, both sides will be equal. In summary, the solution to the equation − 5 = 11 x is x = − 55.

2016年9月2日 · Translate "five times the sum of a number and eleven": This becomes 5 (x + 11). Identify the second part of the phrase: We are now looking at "three times the sum of the number and eight." This translates to 3 (x + 8). Now, put it together: The expression describes that five times the sum is to be divided by three times the other sum: 3 (x + 8 ...

2016年7月6日 · To solve the inequality 5 < x − 2 < 11, we want to isolate x in the middle of the inequality. We can do this by adding 2 to all parts of the inequality: Begin with the inequality: 5 < x − 2 < 11. Add 2 to each part: 5 + 2 < x − 2 + 2 < 11 + 2. This simplifies to: 7 < x < 13. Therefore, the solution for the inequality is 7 < x < 13.

2020年4月26日 · Option B: 11: Here, the inequality would read 5 < x < 11. This allows for x to take on any value greater than 5 and less than 11. Option C: 16: For this option, the inequality is 5 < x < 16, allowing x to be any value greater than 5 and less than 16. Among these options, 11 is the upper limit that follows the rules of inequalities: x can take ...

2022年2月21日 · Putting these two equations together, we get the system of equations to check for intersection: {y = 2 x 2 − 16 x + 34 11 y = − 5 x + 62 Choosing the Correct Option: Reviewing the multiple-choice options, we see that option B provides the quadratic equation correctly in the form y = (x − 4) 2 + 2 with the linear equation as 11 y = − 5 x ...

Upon consideration, the value of x = 11.5 looks appealing because it is the average of the other options and also aligns with a value that can be rounded to the nearest tenth if necessary. Thus, contributing to a balanced selection, the closest to the center of the provided values is: x = 11.5

2015年4月30日 · For instance, when substituting x = 5 or x = 11 back into the original equation, both calculations confirm that the left-hand side equals -12, validating both solutions. The steps outlined demonstrate that both values satisfy the original equation, confirming Johan's positive solution was correct despite the misstatement regarding x = − 11 .

2022年4月6日 · 5 x + y = − 5 (1) 5 x − 3 y = 11 (2) we can use substitution or elimination. Here, we'll use elimination for clarity. First, we'll solve for one variable in terms of the other using Equation (1). Rearranging it gives: y = − 5 − 5 x (3) Now, we substitute Equation (3) into Equation (2): 5 x − 3 (− 5 − 5 x) = 11. Distributing the -3 ...

2024年1月31日 · The correct equation for the parabola with a horizontal axis of symmetry, vertex at (-6,11), and p=5 is option C: (y-11)² = 20 (x+6). Explanation: The equation of a parabola with a horizontal axis of symmetry, a vertex at (-6,11), and a distance p=5 from the vertex to the focus (or directrix) can be written in the form (y - k)² = 4p(x - h ...