Expert Answers

Description Find the opposite, or additive inverse, of the number 3/5 A. 5/3 B. -5/3 C. -3/5 D. 3/5

Description 1. How many possible positive zeros does the function below have? f(x) = 3x3 ­- 2x2 + 4x + 1 A. 0 B. 0 or 2 C. 1 or 3 D. 0, 1, 2, or 3 2. How many possible negative zeros does the function below have? f(x) = 4x3 - 6x2 + 8x - 5 A. 0 B. 0 or 2 C. 1 or 3 D. 0, 1, 2, or 3 3. How many real roots does the following equation have? x4 ­- 81 = 0 A. 4 B. 2 C.1 D. 0 4. How many imaginary roots are there in the equation below? x3 + 9x = 0 A. 0 B. 1 C. 2 D. 3 5. The polynomial x3 - 4x2 - 29x - 24 has a factor of x - 8. Find the remaining factors. A. (x - 3)(x - 1) B. (x + 3)(x + 1) C. (x - 1)(x + 67) D. (x - 67)(x + 1) 6. The polynomial 3x3 + 10x2 ­- x ­- 12 has a factor of x + 3. Find the remaining factors. A. (3x + 4)(x ­- 1) B. (3x ­- 1)(x + 4) C. (3x -­ 4)(x + 1) D. (3x + 1)(x ­- 4) 7. If g(x) = 3x4 + x3 - 2x2 + x + 12, find g(-4). A. 680 B. 816 C. 744 D. 880 8. If f(x) = -3x5 - x + 2x3 - 1, what is f(2)? A. 15 B. 99 C. -25 D. -83 9.Solve. A. 0 B. 2 C. -2 D. not enough information to tell 10. Solve. A. 13 B. -4 C. 4 D. -13

Description Brittany has ten friends helping with a school fundraiser. There are 3 girls and 7 boys. She needs two people to be in charge of the cash register. What is the probability that both of them are boys or both of them are girls? A. 100% B. 53% C. 58% D. 5%

Description How many different 5-digit codes are possible using a keypad with 10 digits where no digit may be used more than once? A. 50 B. 100,000 C. 30,240 D. 3,628,800

Description Give examples of a biased sample and an unbiased sample. Explain your reasoning.

Description Anne's age is 1/6th of her father's age. Anne's father's age will be twice of Vilma's age after 10 years. If Vilma's eighth birthday was celebrated 2 years before, then what is Anne's present age? Please discuss step-by-step how you arrived at your answer.

Description 10.6 2, 4, 8, 10, 12

Description see atttached

Description Estimate the zeros of the function shown in the graph below. {­-2.9, ­-1, 0.8} {-­2, 0} {-­2, ­-1, 0} {­-2.9, -­1, ­-2, 0.8 ========================= In the function shown in the chart below, at which values of x are there relative minima or maxima? x f(x) -3 -2 -2 2 -1 0 0 -2 1 2 2 18 3 52 2 and ­-2 -3 and 3 -2 and 0 -3, 0, and 3 ============================ In the function shown in the chart below, between what values of x would you find the zeros of the function? x f(x) -3 73 -2 8 -1 -7 0 -8 1 -7 2 8 3 73 -1 and 0, 0 and 1 -2 and ­-1, 1 and 2 -7 and 8, ­-8 and ­-7 1 and ­-1 ============================ Which of the following could be the graph of f(x) = x3 + x2 ­- 3x? A. B. C. D. ======== ======================================== Estimate the relative maximums in the graph below. (1.3, 1.4) and (-­0.6, 2.6) (­-0.6, 2.6,), (0.5, 0.3), and (1.3, 1.4) (­-1, 0) and (1.8, 0) (-­1, 0), (0, 1), and (1.8, 0) ==================== Which of the following shows a graph that meets the following conditions. I. As x ? ?, f(x) ? ? II. The degree of f(x) is odd III. the leading coefficient is positive A. B. C. D. ===================================== For the graph below, which of the following is true? I. As x ? ?, f(x) ? ? II. As x ? ?, f(x) ? ­-? III. As x ? -­?, f(x) ? ? IV. As x ? ­-?, f(x) ? -­? V. f(x) is odd VI. the leading coefficient is negative I, III, and V are true II, III, V, and VI are true II, III, and V are true II, IV, V, and VI are true ==================================== Find r(x + 1) if r(x) = x3 + x + 1 x3 + 3x2 + 4x + 3 x3 + 4x2 + 5x + 3 x3 + 2x + 3 x4 + x3 + x2 + 2x + 1 ======================= Find p(­-4) if p(x) = x5 - x2 1040 -1040 1008 -1008 ============================ What is the degree and leading coefficient of the polynomial below? 6x3 + 3x4 = 2x2 - 2 degree = 4, leading coefficient = 3 degree = 3, leading coefficient = 6 degree = 2, leading coefficient = 2 degree = 0, leading coefficient = ­-2

Description OPEN ENDED Write a square root function with a domain of {x|x ? 2}.