Answer:
(2/3)y
Step-by-step explanation:
Given that :
Age gap between father and daughter = y
2/3 of the difference in their ages expressed as in terms of y ;
2/ 3 * y
(2/3)y
Answer:
Step-by-step explanation:
With the given information, we can write the line equation in slope intercept form.
The slope, m, is -2/5
The Y-intercept, or b, is 100.
Replace m with -2/5 and b with 100.
Answer:
Benjamin need 28.39 feet of fencing for the longest side
Step-by-step explanation:
Let
x ----> the longest side of the right triangular garden (hypotenuse of the right triangle)
we know that
In the right triangular garden
----> by CAH (adjacent side divided by the hypotenuse)
see the attached figure to better understand the problem
solve for x
Answer:
6x-8
Step-by-step explanation:
to simplify you must distribute the parenthesis
so...
8x-16 -2x+8
now combine like terms
so..
8x-2x and 8-16
6x-8 is your final answer
hope this helps
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