Owen has enough materials to build up to 10 birdhouses in shop class. each birdhouse needs 12 square feet of wood. the function w(b) = 12b represents the total amount of wood that owen would need to build b birdhouses. what domain and range are reasonable for the function? a. d: 0 ≤ b ≤ 10 r: 12 ≤ w(b) ≤ 120 b. d: 0 ≤ b ≤ 10 r: 0 ≤ w(b) ≤ 120 c. d: 10 ≤ b ≤ 12 r: 0 ≤ w(b) ≤ 120 d. d: 0 ≤ b ≤ 120 r: 0 ≤ w(b) ≤ 10

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part 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 (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

The sum of 5consecutive even numbers is 100. what is the first number in this sequence?

The bottom of ignacio's desktop is 74.5cm from the floor. ignacios sits in his adjustable chair, and the tops of his legs are 49.3cm from the floor. each clockwise rotation of the knob on the chair raises ignacio's legs by 4.8cm. write an inequality to determine the number of clockwise rotations, r, ignacio could make with the knob without his legs touching the desk.