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
If x = -6
we can subtitution x to every inequality, so :
-5 - 3x > 10
-5 - 3(-6) > 10
-5 - (-18) > 10
-5 + 18 > 10
13 > 10 [true]
-3 - 5x < -14
-3 - 5(-6) < -14
-3 - (-30) < -14
-3 + 30 < -14
27 < -14 [false]
2 - x < -3
2 - (-6) < -3
2 + 6 < -3
8 < -3 [false]
So if x=-6, inequality true is -5 - 3x > 10.
Answer:19.2
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
54+2x=5x−3(2+6x) Given
Distribute the -3 to all the terms in the parentheses
54+2x=5x−6−18x Distributive property
54+2x=−13x−6 Combine like terms
Subtract 2x from each side
54=−15x−6 Subtraction Property of Equality
Add 6 to each side
60=−15x Addition property of equality
Divide each side by -15 ( or multiply each side by -1/15)
−4=x multiplication Property of equality
Answer: There are a total of 105 art supplies
Step-by-step explanation: 4 x 15 = 60 _ 3 x 15 = 45 _ 60 + 45 = 105
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