Hayden is playing with a toy airplane. The height of the airplane, h, in metres, is given by the relation h = -5(t – 2)2 + 7, where t is the number of seconds since the plane was launched. At time t, the horizontal
distance travelled by the airplane is given by d - 4.57.
a) For how long will the airplane be in the air, rounded to the nearest tenth of a second? [4]
b) How far will the airplane travel horizontally by the time it hits the ground, rounded to the nearest tenth of a
metre? [1]
c) Can this information be used to determine the time when it reaches its maximum height? If so, what is the
maximum height? [3]

Use set buikder notation to represent the following set: {, -2, -1, 0}

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Which function has an inverse function? a.f(x)= |x+3|/5 b. f(x)= x^5-3 c. f(x)= x^4/7+27 d. f(x)= 1/x²