7. John made a pattern with 9 toothpicks in the 1st figure, 14 in the 2nd figure, 19 in
the 3rd figure, and 24 in the 4th figure.
a) Write an algebraic expression for the
nth term.
b) Use a scatter plot to determine the figure
number of the figure with 94 toothpicks.
c) Check your result in part (b) by
substituting for the variable and
evaluating the algebraic expression.

Please help me with all questions and guide me through!

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)