Answer:
There is a decrease of 0.75 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:
4p+4x+2px=56
Find the rate at which x is changing when x=2, p=6, and dp/dt=1.5 The rate at which x is changing is [ ] sales per day
Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 2px ). Since both "p" and "x" are only functions of time "t":
d/dt
4p+4x+2px=56
4*dp/dt + 4*dx/dt + 2*(x*dp/dt + p*dx/dt)=0
Use the given values x=2, p=6, and dp/dt=1.5 to determine dx/dt
4*1.5 + 4*dx/dt + 2*(2*1.5+6*dx/dt)=0
6+4dx/dt + 2*(3+6dx/dt)=0
6+4dx/dt + 6+12dx/dt=0
12+16dx/dt=0
12=-16dx/dt
dx/dt= 12/-16
= -0.75
<span>x in (-oo:+oo)
(x+20)/2 = 3*x // - 3*x
(x+20)/2-(3*x) = 0
(x+20)/2-3*x = 0
(x+20)/2+(-3*2*x)/2 = 0
x-3*2*x+20 = 0
20-5*x = 0
(20-5*x)/2 = 0
(20-5*x)/2 = 0 // * 2
20-5*x = 0
20-5*x = 0 // - 20
-5*x = -20 // : -5
x = -20/(-5)
x = 4 so x= 4</span>
Answer: WX = 4
Concept:
Here, we need to know the idea of segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
<u>Given information</u>
VX = 18
VW = 14
<u>Given expression deducted from the segment addition postulate</u>
WX = VX - VW
<u>Substitute values into the expression</u>
WX = 18 - 14
<u>Simplify by subtraction</u>
WX = 4
Hope this helps!! :)
Please let me know if you have any questions
Answer:
easyy
Step-by-step explanation:
It's B
Use google or an app for math