Answer:

Step-by-step explanation:

Hope this helps.
Hello from MrBillDoesMath!
Answer:
8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )
Discussion:
Given
64v^3 + 192v^2 - 56 v - 168
Factor 64v^2 from the first two terms. Factor 56 from the last two terms:
64v^2(v+3) - 56(v + 3) => factor (v+3) from both terms
(v+3) (64v^2 - 56) => factor 8 from both terms in the right ()
8(v+3)(8v^2-7) => factor 8y^2-7
8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )
Thank you,
MrB
Answer:
c = 1
Step-by-step explanation:
"10 is 8% of a": 0.08a = 10, or <u>a = (10/0.08)</u>
"5 is 4% of b": 0.04b = 5, or <u>b = (5/0.04)</u>
"c equals b/a": c = (b/a)
----
What is the value of c?
c = (b/a)
c = ((5/0.04)/(10/0.08))
c = (5/0.04)*(0.08/10)
c = (5/10)*(0.08/0.04)
c = (1/2)*(2)
<u>c = 1</u>
The given equation is
where h is the height, in feet, of a ball and t is the time, in seconds.
<u>Part a: The height of the ball when t = 2 seconds:</u>
The height of the ball above the ground 2 seconds after it is released can be determined by substituting t= 2 in the equation
, we get;

Simplifying the terms, we get;


Thus, the height of the ball after 2 seconds is 100 feet.
<u>Part b: The height of the ball when t = 4 seconds:</u>
The height of the ball above the ground 4 seconds after it is released can be determined by substituting t = 4 in the equation
, we get;

Simplifying the terms, we get;


Thus, the height of the ball after 4 seconds is 68 feet.