Is the following argument valid? “if you are having a birthday, you are excited. you are having a birthday. therefore, you are excited” a. the argument is valid by inductive reasoning b. the argument is invalid. c. the argument is valid by the law of detachment. d. the argument is valid by the law of syllogism.

Mrs. morton has a special reward system for her class. when all her students behave well, she rewards them by putting 3 marbles into a marble jar. when the jar has 100 or more marbles, the students have a party. right now, the the jar has 24 marbles. how could mrs. morton reward the class in order for the students to have a party?

2. explain in words how you plot the point (4, −2) in a rectangular coordinate system.

One of the solutions to x2 - 2x – 15 = 0 is x = -3. what is the other solution? ox=-5 ox= -1 0 x=1 x = 5