Answer:
Part 1 .
As per the given statement: In t hours the train has traveled s miles.
Distance of the train = s mile
Time = t hours
Formula for :
Speed of the train(v) =
or
mph .....[1]
Substitute the value of t = 3 hours and s = 180 miles in [1], to solve for v;
Therefore, the speed of the train(v) is, 60 mph
Part 2.
Similarly,
The formula for speed of the train (v) is given by;
Substitute the value of t = 2.5 hours and s = 225 miles to solve for v;
Therefore, the speed of the train(v) is, 90 mph
Answer:
20%
Step-by-step explanation:
Let x represent the initial value of the stock at the beginning of 2006. And y the value at the end of 2006.
When it went up by 25% in 2006;
y = x + 25% of x = x + 0.25x = 1.25x
For the value to go back to the original price, it has to decrease from y to x;
y = 1.25x
The percentage decrease from y to x is;
= (y-x)/y × 100%
Substituting the values;
= (1.25x -x)/1.25x × 100%
= 0.25x/1.25x × 100%
= 0.2 × 100%
= 20%
Therefore, it will have to go down 20%
Answer:
g(x) = 0.5x²
Step-by-step explanation:
Since the graph of g(x) still passes through the origin and is u shaped, it is also a quadratic graph but with a different coefficient of x².
Let g(x) = ax²
When x=2, g(x) = 1
Hence, 2a = 1
a = 0.5
Therefore, <u>g(x) = 0.5x²</u>
Answer:
2
−3
8
8
Step-by-step explanation:
Hope this HELPS!!
Answer:
38
Step-by-step explanation: