The answer is f(x)=16(1/4)^x
Answer:

Step-by-step explanation:

(simplify)

(Add 3 to both sides)
(simplify)

(Multiply both sides by p)

(Multiply both sides by 2)

(Divide both sides by 7)
1). The slope is 6 and the y-intercept is 10 .
2). The slope is zero and the y-intercept is 100.
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:

How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.


Multiplying by (-1)

Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question:

So




Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.
U = (-2,3)
V = (3,0)
midpoint of UV
= ( (3-2)/2 , (3+0)/2 )
= ( 1/2 , 3/2)
= ( 0.5 , 1.5)
X = (0.5 , 1.5) [from fig]
midpoint of UV = X
W= (-2,-3)
V =( 3.0)
Y = ( (-2+3)/2 , (-3+0)/2 )
= (0.5 , - 1.5)
Y = ( 0.5 , -1.5) [ from fig ]
Y is the midpoint of WV
by midpoint theorem ,
UW = 2( XY )