Please Remember To Show All Your Work On Every Problem

Question

Please Remember To Show All Of Your Work On Every Problem If There I Please remember to show ALL of your work on every problem. If there is no work to show, then include a sentence or two explaining your answer. Here are the basic rules of showing work: · Each step should show the complete expression or equation rather than a piece of it. · Each new step should follow logically from the previous step, following rules of algebra. · Each new step should be beneath the previous step. · The equal sign, =, should only connect equal numbers or expressions.

Dr. Jack HW Helper · Accepted Answer

The following is a comprehensive solution to the given mathematics problems, demonstrating detailed work and explanations to ensure clarity and accuracy, adhering to the instructions for showing all work for each problem. 1a. Which of the following represents the distance between -12.4 and –6.9 on the number line? Indicate your choice. To find the distance between two points on the number line, we take the absolute value of their difference. Specifically, the distance between -12.4 and -6.9 is |(-12.4) - (-6.9)|, which simplifies to | -12.4 + 6.9 |. Calculating: | -12.4 + 6.9 | = | -5.5 | = 5.5 Among the options: A. | -12.4 | + | -6.9 | = 12.4 + 6.9 = 19.3 B. | -6.9 - 12.4 | = | -19.3 | = 19.3 C. | -12.4 + 6.9 | = | -5.5 | = 5.5 D. | -6.9 | – | -12.4 | = 6.9 – 12.4 = -5.5 (absolute value 5.5, but as written, this is not in correct form) The correct choice is C, since it reflects the absolute value of the difference and equals 5.5. 1b. Find the distance. Show your work. Based on the previous calculation, the distance between -12.4 and -6.9 is: Distance = | -12.4 - (–6.9) | = | -12.4 + 6.9 | = | -5.5 | = 5.5 2. Write the interval notation corresponding to the set { x | x ≤ – 4}. The set { x | x ≤ – 4 } includes all real numbers less than or equal to -4. In interval notation, this is written as: (-∞, – 4] 3. Consider the interval (– , 0]. For each numerical value below, is it in the interval or not? (Just answer Yes or No) Note: The interval is (–∞, 0]. -7.1: Yes, because -7.1 10: No, because 10 > 0 -3: Yes, because -3 ≤ 0 -10: No, because -10 –∞ and ≤ 0; yes, because -10 is finite and less than or equal to 0, so Yes) -0.09: Yes, because -0.09 ≤ 0 -32: No, because -32 -4: Yes, because -4 ≤ 0 and included in the interval 2: No, because 2 > 0 -1.5: Yes, because -1.5 ≤ 0 4.2: No, because 4.2 > 0 4. Simplify $\frac{3x^2 y^{-3}}{6x^{-1} y^2}$. Show work. Starting expression: $\frac{3x^2 y^{-3}}{6x^{-1} y^2}$ Step 1: Simplify coefficients: \(\frac{3}{6} = \frac{

Please Remember To Show All Your Work On Every Problem

Please Remember To Show All Of Your Work On Every Problem If There I

Paper For Above instruction

1a. Which of the following represents the distance between -12.4 and –6.9 on the number line? Indicate your choice.

1b. Find the distance. Show your work.

2. Write the interval notation corresponding to the set { x | x ≤ – 4}.

3. Consider the interval (– , 0]. For each numerical value below, is it in the interval or not? (Just answer Yes or No)

4. Simplify \(\frac{3x^2 y^{-3}}{6x^{-1} y^2}\). Show work.

5. Simplify \(\frac{(2x^3 y^{-2})^2}{4x^4 y^{-4}}\). Show work.

6. Compute \( (3 \times 10^4) \times (4 \times 10^3) \). Show some work. Write answer in scientific notation.

7. Factor each expression (Work not required to be shown):

8. Perform the indicated operations and simplify: \( (2x^3 y)^2 \). Show work.

9. Solve the equation \( 3x - 7 = 2x + 4 \). Show work.

10. Solve the equation \( x/3 + 2 = 5 \). Show work.

11. Simplify: \(\sqrt{50}\). Show work.

12. Simplify: \(\frac{\sqrt{18}}{\sqrt{2}}\). Show work.

References