Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.P(x) = -9x4 + 5x3 - 6x2 + 5x - 5
A. 0, 2, or 4 positive; 0, 2, or 4 negative
B. 0 or 2 positive; 0 or 2 negative
C. 0 or 2 positive; 0, 2, or 4 negative
D. 0, 2, or 4 positive; 0 negative
Answer: D
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Simplify the expression.
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Write the answer without using negative exponents. Assume that the variable is restricted to those numbers for which the expression is defined.
What will be an ideal response?
Find the center and the radius of the circle.(x + 3)2 + (y - 1)2 = 9
A. (-3, 1), r = 3 B. (3, -1), r = 9 C. (-1, 3), r = 9 D. (1, -3), r = 3
Answer each question appropriately.Suppose the velocity of a body moving along the s-axis is = 9.8t - 1.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement. B. Yes, integration is not possible without knowing the initial position. C. No, displacement has nothing to do with the position of the body. D. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out.
Solve the problem.Any offset between a stationary radar gun and a moving target creates a "cosine effect" that reduces the radar mileage reading by the cosine of the angle between the gun and the vehicle. That is, the radar speed reading is the product of the actual reading and the cosine of the angle. Find the radar reading to the nearest hundredth for the auto shown in the figure.
A. 23.03 mph B. 89.97 mph C. 88.03 mph D. 85.97 mph