Answer:
Stesksp-by-step explanation:
Answer:
decrease of 1.153 sales per day
Step-by-step explanation:
Given:-
- The price of item = p
- The number of sales = x
- The relationship between "p" and "x" is given below:
5p+5x+3px=71
Find:-
Find the rate at which x is changing when x=3, p=4, and dp/dt=1.4. The rate at which x is changing is [ ] sales per day
Solution:-
- Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 3px ). Since both "p" and "x" are only functions of time "t":
d/dt (5p+5x+3px=71)
5*dp/dt + 5*dx/dt + 3* ( x*dp/dt + p*dx/dt) = 0
- Use the given values x=3, p=4, and dp/dt=1.4 to determine dx/dt:
5*1.4 + 5*dx/dt + 3*3*1.4 + 3*4*dx/dt = 0
17dx/dt = -19.6
dx/dt = -1.153 sales per day
- There is a decrease of 1.153 sales per day.
1/2 I think. Even though you already got heads 10 times you still have a 1/2 chance to get it again.
I’m pretty sure the average rate of change is 1
The equation of hyperbola can vary much from simple to complex equation. Since the information given from this question is not many, the equation probably was the simple one.
Assuming that the hyperbola formula is y= x^2 +b, then the value of b where x=-2 and y=-3 would be:
y= x^2 +b
-3= (-2)^2 +b
-3= 4+b
b=-3 -4= -7
The equation would be: y= x^2 -7
