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  
----  
? ~ q


Argument is invalid.

Mathematics

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Write the augmented matrix for the system. Do not solve the system. 6x + 9y = 96  -2y = -16

A.

B.

C.

D.

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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]

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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.]

A.
B.
C.
D.

Mathematics

Find the perimeter.

A. 237 m B. 143 m C. 4606 m D. 286 m

Mathematics