10x^2 - (2 - 3x) + (5x - 3x^2)
=7x^ + 2x - 2
Answer:x=20/y
Step-by-step explanation:
x α 1/y
removing the constant of proportionality sign α and replace it with =k
x = k/y
x=10 y=2
10 = k/2
Cross multiply
10x2=k
20=k
k=20
Substitute k=20 in x=k/y
x=20/y.........required equation
Answer:
98 boxes
Step-by-step explanation:
If 56 is 
of the total, we can set up an equation like this:
Where T is the total number of boxes.
Solving for T gives us the answer:
There were 98 boxes in total.
Answer: ![\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5B%5Cln%20%28x%2B1%29%2B%5Cln%28x-1%29%5D)
Step-by-step explanation:
Properties of logarithm :
The given expression in terms of Natural log : 
This will become 
[ By using Property (3)]
[
]
![=\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B3%7D%5B%5Cln%20%28x%2B1%29%2B%5Cln%28x-1%29%5D)
[ By using Property (1)]
Hence, the simplified expression becomes .
Since the slope is (change in y)/(change in x), and a negative number over a positive number is negative (and vice versa), we want to figure that out. Therefore, we would want 2 to be bigger than the x value and 8 smaller than the y value, or the other way around. (0,9) fits the description, as well as (5, 6)
