Write the equation of the line with a slope of 2 and

Question

1. Write the numeral 0.0685 in scientific notation.

2. Given f(x) = -6x - 1, find f(2). 

3. Write the equation of the line with a slope of 2 and passing through the point (-5, 3)

4. Simplify the following expression completely: (ab^-3/3a^-2b²)².

5. Do the following lines intersect? If yes, at what point of intersection?

6. Compute the determinant:

7.  Compute the distance between the two points (1 - √2 , -1)  and (2 + √2, 4)

8. At what x values does the parabola y= x² - 5x +4 intersect the x axis?

9.  The surface area (A) of a sphere with radius (R) is given by A = 4 ∏r².  Solve this formula for R.   A = 4πr²

10. Solve the inequality below and write the solutions in interval notation: |2m + 3| < 13

11. Divide (y² + 10y + 21) ÷ (y + 7)

12. Completely factor the following expression: 16x^4 - 81y^4

13. Solve the following equation: | x | = 3

14. Draw the graph of the following linear function and give the domain and range: f(x) = - ½x+5.

Answer 1

For the following arithmetic problems, find out the solution of each and every question by applying the formulas and concepts of mathematics and illustrate the written work in word document. Q1. Write down the numeral 0.0685 in the scientific notation. Q2. Provided f(x) = -6x - 1, determine f(2). Q3. Determine the equation of line having a slope of 2 and passing via the point (-5, 3) Q4. Compute the given expression: (ab-3/3a-2b2)2. Q5. Calculate the distance between the two points (1 - v2 , -1) and (2 + v2, 4) Q6. Determine at what x values does the parabola y = x² - 5x + 4 intersect the x-axis? Q7. Divide (y² + 10y + 21) ÷ (y + 7) Q8. Completely factor the given expression: 16x^4 - 81y^4 Q9. Simplify the given equation: |x| = 3 Q10. Draw the graph of the given linear function and provide the domain and range: f(x) = - 1/2x+5.