Leah is solving the equation below using the properties of exponents.
2^2x-3 =(1/16)^3x+9
here is leah's work:
line 1: 2^2x-3 =(2)^4(3x+9)
line 2: 2^2x-3 =(2)^12x+36
line 3: 2x-3=12x+36
line 4: -3=10x+36
line 5: -39=10x
line 6: -3.9=x

leah checks her answer and realizes she has made a mistake. on which line did leah make a mistake?
what was leah's mistake?

Given f(x) = 17-x^2what is the average rate of change in f(x) over the interval [1, 5]?

Two triangles can be formed with the given information. use the law of sines to solve the triangles. b = 49°, a = 16, b = 14

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)