Step-by-step explanation:
I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.
y = -16x² + 64x + 89
shows us that the tower is 89 ft tall (the result for x = 0, at the start).
anyway, if the original assumption is correct, then we need to solve
0 = -16x² + 64x + 89
the general solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/)2a)
in our case
a = -16
b = 64
c = 89
x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =
= (-64 ± sqrt(4096 + 5696))/-32 =
= (-64 ± sqrt(9792))/-32
x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s
x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s
the negative solution for time is but useful here (it would be the time calculated back to ground at the start).
so, x2 is our solution.
the rocket hits the ground after about 5.09 seconds.
The inverse of this function is f^-1(x)=x/9
28457 x 3 = 85371 white blankets
85371 + 28457 = 113,828 total blankets
113828/55 = 2069.6 total boxes
so 2069 full boxes
and 55*.6 = 33 left over blankets
Answer:
K = -72
Step-by-step explanation:
1. Get K/9 by itself to do so add 3 to both sides eliminating it on the left by turning the -11 into -8
2. Multiply by 9 on both sides eliminating the division of 9 on the left and turning -8 into -72 leaving the equation as K = -72
To eliminate a number you must do its opposite so the opposite of -3 is +3 so you +3 to both sides. And always start the equation by eliminating what is not connected to the variable in this case the 9 was connected to the variable as K/9.
N = {15 +- root of ( 225 + 64) } / 2
= {15 +- root of 289 } / 24
= 15 + 17 } / 2 or { 15 -17 } /2
= 16 or -1
