A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
1 answer:
It will take B 8 hours to travel in order to overtake A.
The relationship among the distance, time and speed can be expressed by using the relation.
In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.
Here:
- as speed (v) rises;
- time (t) decreases, and
- distance (d) is constant
From the given relation:
- Distance = speed × time
So, we can have a table expressing the parameters given in the question as follows:
v t d
A 4 t+2 4t + 8
B 5 t 5t
Equating both distance together, we have:
4t + 8 = 5t
collecting like terms, we have:
4t - 5t = -8
t = 8 hours
Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.
Learn more about distance, time and speed here:
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Answer:
A) True
B) True
C) False
Step-by-step explanation:
Knowing that the collinear points are all those that pass through a line, we have:
A) given two points they form a line, by themselves they are collinear (graph 1)
B) Can be or not can be (graph 2)
C) Can be not must be (graph 3)
Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:
Transformation 1:
Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:
Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).