1. What type of relationship or pattern does the scatter plot suggest? A. no pattern B. a linear relationship whose data have a negative relationship C. a linear relationship whose data have a positive relationship D. none of these Hint 2. Determine the binomial factors of x3 - 5x2 - x + 5 = 0. A. x - 1, x + 1, and x - 3 B. x - 1, x + 1, and x - 5 C. x + 1, x - 1, and x - 6 D. x + 1, x - 1, and x - 4 Hint 3. Decompose into partial fractions. A. B. C. D. Hint 4. In Hero's Formula, to find the area of a triangle, s in the formula represents ______. A. the perimeter of the triangle B. none of these C. the semiperimeter of the triangle D. the sum of any two of the three sides of the triangle Hint 5. A ship leaving port sails for 100 miles in a direction 40° north of due east. Find the magnitude of the vertical and horizontal components. A. about 77 miles; about 84 miles B. about 87 miles; about 50 miles C. about 50 miles; about 87 miles D. about 64 miles; about 77 miles Hint 6. Find an ordered triple to represent in the equation if , , and . A. B. C. D. Hint 7. Graph the point . A. B. C. D. Hint 8. Collinear points lie on the same line. Find the value of k for which the points (3, 7), (-5, -1), and (-1, k) are collinear. A. 4 B. 3 C. 2 D. -1 Hint 9. The equation of a circle is 3x2 + 3y2 – 6x + 12y – 24 = 0. Find its center and radius. A. (1, –2); B. (–1, 2); 13 C. (–1, 2); D. (1, –2); 13 Hint 10. Write the equation of the hyperbola whose eccentricity is and whose foci are at (6, 0) and (-6, 0). A. B. C. D. Hint 11. Simplify . A. 3s2|t|5 B. 9s2|t|5 C. 3|s|t4 D. 3s2|t|3 Hint 12. Which of the following describes the system of equations x - 3y + 2 = 0 and 2x - 6y + 4 = 0? A. Consistent and dependent B. Consistent and independent C. Inconsistent D. none of these Hint 13. Find the inverse of . A. B. 0 C. D. does not exist Hint 14. Find the maximum value of f(x, y) = x - 4y for the system of inequalities.2x + y 32x + y -2y 4x < 1 A. -17 B. -3 C. -16 D. 16 Hint 15. Locate the extrema for the graph y = f(x). A. There is an absolute maximum at (4,4) and an absolute minimum at (0,0) B. There is a relative minimum at (4,4) and a relative maximum at (0,0) C. There is an inflection point at (2,2) D. There is a relative maximum at (4,4) and a relative minimum at (0,0) Hint 16. For the line given by the equation 5x - 7y + 24, what is the angle formed by the x-axis and the normal through the origin? A. 144° B. 126° C. 36° D. 54° Hint 17. Which pair of vectors is perpendicular? A. B. C. D. Hint 18. Write the parametric equations for the line passing through P(3, -4) and parallel to . A. x = t + 3 and y = 9t - 4 B. x = 3 + t and y = 4 – 9t C. x = 3t + 1 and y = 4t - 9 D. x = 1 + 3t and y = 9 – 4t Hint 19. Find the quotient . Express the result in rectangular form. A. 1.07 + 6.92i B. -6.96 - 0.76i C. D. Hint 20. The population of deer in a certain area can be modeled by the Verhulst population model with growth factor 1.5. Presently, there are 68 deer in the area, and a maximum of 80 could possibly be sustained. Find the population of deer after 3 years. (pn + 1 = pn + 1.5pn (1 - pn) ) A. 79 B. 83 C. 81 D. 72 Hint