X=75
y=75
z=105
as you do 42 + 63=105
H=0
Therefore:
144t-16t²=0
t (144-16t)=0
We have two equations:
1)
t=0 (when the ball is released)
2)
144-16t=0
-16t=-144
t=-144 / -16=9 (this is the time )
Answer: the ball hit the ground in 9 s.
We can one theorem to help us find rational roots of this polynomial.
2x^3 + x^2 - 4x - 2
We'll use Descartes' rule of signs.
Because there is 1 sign change, 1 of the 3 roots will be positive.
Now we can make the value of x -1 to see how many negative roots there will be.
-2 + 1 + 4 - 2
There are 2 sign changes, so we know there will be 2 negative roots.
Because of this, we should have 3 real, rational roots.
Answer:
b(4) = -8
Step-by-step explanation:
We are to find the 4th term.
n = 4
b(n) = 1(-2)ⁿ⁻¹
b(4) = 1(-2)⁴⁻¹
b(4) = 1(-2)³
b(4) = 1(-8)
b(4) = -8