. What is the justification for each step in the solution of the equation? Fill in the empty boxes with the justification.

15x – 8 = −6 (2+8x) + 42

15x – 8 = −6 (2+8x) + 42 Given
15x – 8 = −12 − 48x + 42 a.
15x − 8 = 30 − 48x b.
63x – 8 = 30 Addition Property of Equality
63x = 38 c.
x = 38/63 Division Property of Equality

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

Find the zeros of each function. f(x) = x^2 + 5x - 6

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)