Given that p and q each represents a simple statement, write the indicated compound statement in its symbolic form.p: Manuel is Carmen's brother.q: Carmen is Manuel's sister. Manuel is not Carmen's brother if and only if Carmen is not Manuel's sister.
A. ~ p ? ~ q
B. p ? ~ q
C. ~ p ? ~ q
D. ~ p ? ~ q
Answer: D
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Complete the table of values. Write the results as ordered pairs.x + 3 = 0
A. (15, -5); (6, -2); (-21, 7) B. (-2, -5); (1, -2); (10, 7) C. (-8, -5); (-5, -2); (4, 7) D. (-3, -5); (-3, -2); (-3, 7)
Solve the problem.f(x) = log4(x + 3) and g(x) = log4(2x - 7).Solve f(x) = g(x).
A. {10}, (10, log4(3)) B. {10}, (10, log4(13)) C. {10}, (10, log4(10)) D. No solution.
Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.y = -x + 5(0, ), ( , 0), (1, )
A. (0, 5), (-5, 0), (1, 6)
B. (0, -5), (5, 0), (1, -4)
C. (0, -5), (-5, 0), (1, -6)
D. (0, 5), (5, 0), (1, 4)
Decide whether the composite functions, f ? g and g ? f, are equal to x.f(x) = x2 + 5 , g(x) = 
- 5
A. No, no B. Yes, no C. Yes, yes D. No, yes