Sylvia launches a bottle rocket into the air. The function h(t)= 115t-16t^2 gives the height of the bottle rocket, in feet, seconds after it is launched. Using a table or graph, about how many seconds did it take for the bottle rocket to reach a height of 200 feet? Round your answer to the nearest second.

4 seconds to reach 200 feet

Step-by-step explanation:

You can use Desmos (graphing calculator) then plug in the equation and you will find the x-values are 7.188 and 0- the origin.

Divide 7.188 by 2 (this is also solving for the midpoint/axis of symmetry) and you get 3.594

Round 3.594 to the nearest second which would be 4 seconds.

Hope that helps and have a great day!

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0