Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of f(x) = 6x3 + 3x2 + 3x + 4.
A. no positive reals; no negative reals
B. 1 positive real; 3 negative reals or 1 negative real
C. 0 positive real; 3 negative reals or 1 negative real
D. 3 positive reals or 1 positive real; no negative reals
E. 3 positive reals or 1 positive real; 3 negative reals or 1 negative real
Answer: C
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Find the indicated probability. Round your answer to 6 decimal places when necessary.A class consists of 17 women and 78 men. If a student is randomly selected, what is the probability that the student is a woman?
A. 
B. 
C. 
D. 
Use the empirical probability formula to solve the exercise. Express the answer as a fraction. Then express the probability as a decimal, rounded to the nearest thousandth, if necessary.The table below represents a random sample of the number of deaths per 100 cases for a certain illness over time. If a person infected with this illness is randomly selected from all infected people, find the probability that the person lives 3-4 years after diagnosis.
A. 
; 0.058
B. 
; 0.538
C. 
; 0.029
D. 
; 0.35
Provide an appropriate response.Explain why the following four statements ask for the same information.(i) Find the roots of f(x) = 3x3 - 3x - 1(ii) Find the x-coordinates of the intersections of the curve y = x3 with the line y = 3x + 1.(iii) Find the x-coordinates of the points where the curve y = x3 - 3x crosses the horizontal line 
.(iv) Find the values of x where the derivative of g(x) = 
x4 - 
x2 - x + 5 equals zero.
What will be an ideal response?
Determine the operation being performed on the objects.
A. Multiplication B. Subtraction C. Absolute value D. Division