Answer: Hello mate!
Let's define the variable t as the time, and define t = 0 as the moment when the first skater starts to move:
We know that the speed of the first skater is 8 m/s, and we need to find the position as a function of time, then we need to integrate the velocity over time
if v1(t) = 8m/s
then p1(t) = (8m/s)*t
now we also know that the second skater has a velocity of 9m/s and enters in the frozen lake at t= 10s.
then the velocity of the second skater is: v2(t) = 9m/s, and the position is:
p2(t) = (9m/s)*(t - 10s)
now we want to know how many seconds after the second skater starts are needed for the second skater to overtake the first one.
this is equivalent to see when his positions will be equal.
so p1(t) = p2(t):
(8m/s)*t = (9m/s)(t - 10s) = (9m/s)*t - 90m
(8m/s)*t - (9m/s)*t = -90m
(-1m/s)*t = 90m
t = 90m/(1m/s) = 90s
Then in t = 90 seconds, the second skater will overtake the first one, and knowing that the second skater started at t = 10 seconds; there are 80 seconds after the second skater started needed to overtake the first skater.
Answer:
All positive real numbers
Step-by-step explanation:
Given
The model can be represented as:
Required
Determine the domain
This means that we list out possible values of x.
If x represents time, then it is impossible for x to be negative.
This implies that x can take any value as long as it is greater than or equal to 0.
<em>Hence, the domain is all positive real numbers</em>
Answer:
The median is 7.
Step-by-step explanation:
An equation is tangent to the x-axis when it has an even number of a certain root. A root is a value of x that results to a value of y = 0.
The first equation has roots -3, and -3. The graph will be tangent to the x-axis along with third, the fourth, and the fifth equation by the same condition that they have roots with even multiplicity (repeated in an even number of ways).
