Give a direct proof of the following “theorem.”

Premise 1: If it is new, then it is red.

Premise 2: If it is Sam’s car, then it is new.

Premise 3: If if is red, then it is fast.



Theorem: If it is Sam’s car, then it is fast.


Mathematics

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What will be an ideal response?

Mathematics

Complete the identity.sec x -  = ?

A. 1 + cot x B. -2 tan2 x C. sin x tan x D. sec x csc x

Mathematics

Use Gauss-Jordan elimination to solve the linear system and determine whether the system has a unique solution, no solution, or infinitely many solutions. If the system has infinitely many solutions, describe the solution as an ordered triple involving variable z.4x - y + 3z=12x + 4y + 6z=-325x + 3y + 9z=20

A. (8, -7, -2) B. (2, -7, -1) C. no solution D. (-8, -7, 9)

Mathematics

Determine whether the function is linear, constant, or neithery = 

A. Linear B. Constant C. Neither

Mathematics