Answer:
Option D is correct.
Explicit formula for the geometric sequence is, 
Step-by-step explanation:
Geometric sequence states that a sequence of numbers in which the ratio between consecutive terms is constant,
we can write a formula for the nth geometric sequence in the form of:
.....[1] where 
is the first term and r is the common ratio between successive term.
Given the sequence: 64, 32, 16 , 8......
Here, first term () = 64.
Common ratio(r) = 0.5
Since,
,
......
Substitute the value of a and r in [1] we get;
therefore, the explicit formula for the geometric sequence is,
Answer:
B) 
Step-by-step explanation:
We are given,
The graph of the parabola opens downwards.
This means that the leading co-efficient of the function will be negative.
So, options C and D are not possible.
Moreover, it is given that the graph cuts x-axis near 
i.e. 
= 1.5 and 
i.e. 
= 4.5.
i.e. At y=0, the value of x is near and .
A. So, in 
, we put y =0.
i.e. 
i.e. 
i.e. x = 0.68 and x = 3.41
We see that this does not crosses the x-axis at the given points.
So, option A is wrong.
B. Also, in , we put y =0.
i.e. 
i.e. 
i.e. x = 1.68 and x = 4.41.
Thus, this equation cuts the x-axis near the given points i.e. 1.5 and 4.5.
Hence, the equation of the given graph is .
Answer:
1) slope is -1/3
2) slope is 3 or 3/1
3)slope is -3/2
4)slope is3/2
5)slope is 5/3
6)slope is 7/3
Step-by-step explanation:
There isnt a full inch in a push pin there is only 3/4 of one
distance traveled = (2.36 ft/min)(6 min) = 14.16 ft
