Translate the argument into symbolic form. Then use a truth table to determine whether the argument is valid or invalid. (Ignore differences in past, present, and future tense.)If every student passes the quiz, then no review sessions are needed.
? Some review sessions are needed.
What will be an ideal response?
p: Every student passes the quiz.
q: No review sessions are needed.
p ? q
~ p
----
? ~ qArgument is invalid.
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Write the augmented matrix for the system. Do not solve the system. 6x + 9y = 96 -2y = -16
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In the table, Y1 is defined as a quadratic function. Use the table to do the following: a. Determine the coordinates of the vertex of the graph. b. Determine whether the vertex is a minimum point or a maximum point. c. Find the minimum or maximum value of the function. d. Determine the range of the function.
A. a. (-2.5, -6); b. minimum; c. -2.5; d. [-2.5, ?) B. a. (-2.5, -6); b. minimum; c. -6; d. [-6, ?) C. a. (-2.5, -6); b. maximum; c. -2.5; d. (-?, -2.5] D. a. (-2.5, -6); b. maximum; c. -6; d. (-?, -6]
Write the indicated event in set notation.The event that both prize winners are women in a competition in which two people are selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four finalists are Jim, George, Helen, and Maggie. [The possible outcomes can be represented as follows.JGJHJMGJGHGMHJHGHMMJMGMHHere, for example, JG represents the outcome that Jim receives the first prize and George receives the second prize.]
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Find the perimeter.
A. 237 m B. 143 m C. 4606 m D. 286 m