Is the following argument valid or invalid? Justify your answer.
All real numbers have nonnegative squares.
The number i has a negative square.
Therefore, the number i is not a real number.
The argument is valid by modus tollens.
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Provide an appropriate response.Let A = 
, where d and c are nonzero constants. Find A-1.
A. 
B. 
C. 
D. 
Write the phrase as a mathematical expression. Use x as the variable.The quotient of 8 less than a number and 5 more than the number
A. 
x
B. 
C. 
D. (x - 8) + (x + 5)
Provide an appropriate response.The table shows the number of cookies sold at a bake sale according to their diameter in inches. Write the ordered pair data as an ordered pair of the form (diameter, number sold). Then create a scatter diagram of the ordered pairs. Do the paired data show a trend. If so, what is the trend?
What will be an ideal response?
Find the vertex, focus, and directrix of the parabola with the given equation.(y + 3)2 = 16x
A. vertex: (0, -3) focus: (4, -3) directrix: x = -4 B. vertex: (0, -3) focus: (-3, -3) directrix: x = -4 C. vertex: (0, 3) focus: (3, 3) directrix: x = -5 D. vertex: (-3, 0) focus: (4, -3) directrix: x = -7