I'm assuming that you meant 4x+1=3x?
Subtracting 4x, we get 1=-x. Multiplying by -1, we get x=-1 as the solution.
Step-by-step explanation:
Given that,
Half of Robert's piece of wire is equal to of Maria's wire i.e.
....(1)
Total length of the wires = 10 feet
ATQ,
....(2)
Use equation (1) in (2).
![R+\dfrac{R}{2}=10\\\\\dfrac{3R}{2}=10\\\\R=\dfrac{20}{3}\\\\R=6.67\ ft](https://tex.z-dn.net/?f=R%2B%5Cdfrac%7BR%7D%7B2%7D%3D10%5C%5C%5C%5C%5Cdfrac%7B3R%7D%7B2%7D%3D10%5C%5C%5C%5CR%3D%5Cdfrac%7B20%7D%7B3%7D%5C%5C%5C%5CR%3D6.67%5C%20ft)
So,
![M=\dfrac{6.67}{2}\\\\M=3.33\ ft](https://tex.z-dn.net/?f=M%3D%5Cdfrac%7B6.67%7D%7B2%7D%5C%5C%5C%5CM%3D3.33%5C%20ft)
Hence, this is the required solution.
Answer:
10
Step-by-step explanation:
divide each side by -4
5x-1=-49
5x=50
x=10
Answer:
![Y'(t) = 0.025e^{-0.001t}](https://tex.z-dn.net/?f=Y%27%28t%29%20%3D%200.025e%5E%7B-0.001t%7D)
Step-by-step explanation:
The derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function.
So
![(a*f(x))' = a*f'(x)](https://tex.z-dn.net/?f=%28a%2Af%28x%29%29%27%20%3D%20a%2Af%27%28x%29)
If we have an exponential function, in the following format:
![f(x) = e^{ax}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20e%5E%7Bax%7D)
The derivative is:
![f'(x) = a*e^{ax}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20a%2Ae%5E%7Bax%7D)
In this problem, we have that:
![Y(t) = 25e^{-0.001t}](https://tex.z-dn.net/?f=Y%28t%29%20%3D%2025e%5E%7B-0.001t%7D)
The derivative is
![Y'(t) = -0.001*25e^{-0.001t} = 0.025e^{-0.001t}](https://tex.z-dn.net/?f=Y%27%28t%29%20%3D%20-0.001%2A25e%5E%7B-0.001t%7D%20%3D%200.025e%5E%7B-0.001t%7D)