mariemorris50 mariemorris50

04-10-2022
Mathematics

Answered

4. A new roller coaster is being built, where one of the speed hills ends with the coaster going underground.
The speed hill can be modeled by the function h(t) = -4t² + 24t+21, where h(t) represents the height of
the coaster in meters, after t seconds.
a. Rewrite the function in vertex form using completing the square.
b. What is the maximum height of the coaster during the speed hill?
c. How long does it take for the coaster to reach its maximum height during the speed hill?
d. How long after the speed hill starts will the coaster begin going underground?

Answer :

Other Questions

Consider functions f and g. 4(x - 3)² + 6 g(x) -2(x + 1)² + 4 Which statements are true about the relationship between the functions? O 0 Function g opens in th

The piecewise function h(x) is shown on the graph. 6- 5 ★ 3+ 2 7-6-5-4-3-2-1₁ 1 2 3 4 5 6 7 x ---2- ---3- 4 Z -5 -6 What is the value of h(2)? O-2 -1 0 3

Determine whether the following graph represents a function. One to one function Function but not one to one Not a function

Which table represents the second piece of the function f(x) = -3.5x + 0.5, x < 1? 8- 2x, x 21 X -1 0 1 O f(x) 4 0.5 -3 x -1 0 1 O f(x) 10 8 6 x 1 2 3 f(x) 6

The table shows the linear relationship between x and y. What is the rate of change of y with respect to x? X 02 0-2 0 12 -20 96 -12 80 -6 68 -2 60

Which graph represents the piecewise-defined function f(x) = -x +4, 0≤x <3? { x 23 8 8 6 EEGE 40 2 2 3 6 4 2 8 6 4 6, 2 2 3 4 O 8 6 4 2 2 3

Consider the function: 2 f(x) = -5 + -5-4-3-2-1 + 2x, 3x 2 x, x < -1 -1 < x < 3 X23 0 1 + 2 3 4 5 What are these values? f(-3) = f(-1)= f(3) = >

y = 2x - 4 A (-1,-6), (1, -2) B (-6,-1), (-2, 1) C(1,-2), (3,-2) D (9, 12), (-2, 0)

What is the slope of the graph shown below? ++ 7-6-5-4-3-2-1-1 2 3 4 5 6 7 -2 -5 -6

Find the values of the ratios (red to blue) of the perimeters and areas of the similar figures. Write the ratios as fractions in simplest form. The ratio of the