Solve the problem.The parabola y2 = 6x is shifted up 3 units and left 6 units. Find an equation for the new parabola and find the new vertex.
A. (y + 6) 2 = 6(x - 3); vertex; (3, -6)
B. (y - 3) 2 = 6(x + 6); vertex; (-6, 3)
C. (y - 6) 2 = 6(x + 3); vertex; (3, -6)
D. (y + 3) 2 = 6(x - 6); vertex; (-6, 3)
Answer: B
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Solve the problem.Suppose that you roll a pair of honest dice. If you roll a total of 6, you win $18; if you roll a total of 11, you win $72; if you roll any other total, you lose $9. Let X denote the payoff in a single play of this game. Find the expected value of a play of this game. Round your answer to the nearest penny.
A. $0.75 B. $-0.75 C. $-0.50 D. $-1.00 E. $0
Provide an appropriate response.What is wrong if two fractions are added and the result is expressed as a whole number and an improper fraction?
What will be an ideal response?
Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = x4 + 15x2 - 16
A. -4, 4; f(x) = (x - 4)(x + 4)(x2 + 1) B. -1, 1; f(x) = (x - 1)(x + 1)(x2 + 16) C. 1; f(x) = (x - 1)2(x2 + 16) D. -1, -4, 1, 4; f(x) = (x - 1)(x + 1)(x - 4)(x + 4)
Determine if the argument is valid.All astronauts are healthy.Lawrence is not healthy. 
A. Invalid B. Valid