Answer:
a) 
b) t = 0.3 seconds
c) d = 4.9t²
d) d = 11 cm.
Step-by-step explanation:
One test involves catching a 1 m ruler and measuring the distance, d in meters, that the ruler will travel before being caught, the reaction time t in seconds is then calculated using the formula
.......... (1)
a) the simplified expression is
......... (2)
b) If d = 44 cm = 0.44 meters, from equation (2) we get,
t = 0.299 seconds ≈ 0.3 seconds (Approximate)
c) If we make d as the subject of the equation, then
⇒ d = 4.9t² .......... (3)
d) Now, if 
seconds, then from equation (3) we get,
d = 4.9 (0.15)² = 0.11 meters = 11 cm (Answer)
Answer:
(or 6)
Step-by-step explanation:
<u>Set f(x)=0:</u>
or
<u>Now check both solutions:</u>
Therefore, 
because there is a hole at 
. The denominator, in addition, can never be 0, so the function is undefined for .
Since , then is the only zero of the function.
Answer:
Answered below
Step-by-step explanation:
1. Graph this rational function
2. Determine that x and y extends infinity and negative infinity
{x ∈ R : x ≠ 0}
{y ∈ R}
Division can be looked at as breaking things into parts. For example, with you 2 ÷ 2 = 1 that can be looked at as you have two chocolate bars and 2 people who want those chocolate bars. How can you fairly give those 2 people 2 chocolate bars? Well you would give them 1 each? It'd be the same thing with 5 people and 5 chocolate bars. Any number divided by itself with always be one, no matter what. Unless you have 0/0 or infinity/infinity , but those are different scenarios.
