Answer:
Step-by-step explanation:

Answer:
As per the statement:
The path that the object takes as it falls to the ground can be modeled by:
h =-16t^2 + 80t + 300
where
h is the height of the objects and
t is the time (in seconds)
At t = 0 , h = 300 ft
When the objects hit the ground, h = 0
then;
-16t^2+80t+300=0
For a quadratic equation: ax^2+bx+c=0 ......[1]
the solution for the equation is given by:

On comparing the given equation with [1] we have;
a = -16 ,b = 80 and c = 300
then;


Simplify:
= -2.5 sec and
= 7.5 sec
Time can't be in negative;
therefore, the time it took the object to hit the ground is 7.5 sec
Answer:
If there are 6 tiles, the probability is 1/6
Step-by-step explanation:
Answer:
8) 1
9) -4
10) -3
11) -1
12) 1
13) doesn't exist
14) 1
15) doesn't exist
Step-by-step explanation:
8) when we approach x=-8 from left and from right, the function tends towards the value 1
9) when we approach x = -7, from the left the function gets towards 0, while when we approach it from the right it gets closer to -4
10) f(-3) = -3
11) When x approaches the value 4 from the left and from the right, f(x) gets closer to -1
12) f(4) is defined as 1
13) f(6) doesn't exist
14) When x approaches 6 from the left and from the right, the function approaches 1
15) When x approaches the value 7 from the left the function gets closer to 2, while when we approach x = 7 from the right the function gets toward 7. Because of this discrepancy, the limit doesn't exist.