Dy/dx=10,15,20,25,30
d2y/dx2=5,5,5,5,5 (there is no "rate of change" that is constant because acceleration is positive meaning that velocity keeps increasing...)
Since d2y/dx2 is constant, acceleration is constant, and this means that it is a quadratic equation of the form y=ax^2+bx+c
There are only three unknowns so we can use just three data points.
9a+3b+c=60
4a+2b+c=40
a+b+c=25 getting differences between these...
5a+b=20
3a+b=15 and again...
2a=5, so a=2.5, making 3a+b=15 become:
7.5+b=15, so b=7.5, making a+b+c=25 become:
2.5+7.5+c=25, so c=15
So the quadratic which produced the table is:
y=2.5x^2+7.5b+15
This is the regular old position function you see with any object moving with constant acceleration (like gravity when simplified).
The acceleration is 2.5 it has an initial velocity of 7.5 and an initial position of 15.
Answer:
Final answer is approx 6.644 years.
Step-by-step explanation:
Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.
So we can use growth formula:
Then we get equation for motorcycles and cars as:
Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:
Hence final answer is approx 6.644 years.
it is 40/1
Step-by-step explanation:
I can tell because every whole numbers is always equivalent to 1
Answer:I think it’s 3.25(3)+6c=$21.75, I’m not sure
Step-by-step explanation:
Answer:
(-∞,∞) or {x | x ∈ R
Step-by-step explanation: