The height of a fireworks rocket launched from a platform can be approximated by h=-5t+ 30t +35, where h is the height in meters and t is the time in seconds. Find the time it takes the rocket to reach the ground after it is launched.

Step-by-step explanation:

h=-5t+ 30t +35, where h is the height in meters and t is the time in seconds.

Considering the fact that the launched Rocket will hit the ground, it implies that the height will be zero. Hence the equation will be .

0 =-5t+ 30t +35

-5t+30t = -35

25t = -35

To find t, divide both sides by 25

25t/25 = -35/25

t = - 7/5

t = -1.4secs

Hence the time for the launched rocket to hit the ground will be -1.4secs

10000

step-by-step explanation: divide by 2,

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1