Positive correlation as they go to bottom left to top right
Answer:
y=ln(x/(1-x))
Step-by-step explanation:
y=e^x/(1+e^x)
Cross multiply
y(1+e^x)=e^x
Distribute
y+ye^x=e^x
Put anything with x on with side and everything without x on opposing side:
y=e^x-ye^x
Factor right hand side
y=(1-y)e^x
Divide both sides by (1-y)
y/(1-y)=e^x
Use natural log.
ln(y/(1-y))=x
The inverse is
y=ln(x/(1-x))
QUESTION 1
The given inequality is

We group like terms to get,

This implies that,
or
.
We simplify the inequality to get,
or
.
We can write this interval notation to get,
.
QUESTION 2
.
We group like terms to get,
.

We split the absolute value sign to get,
or 
This implies that,
or 
or 
or 
We can write this interval notation to get,
.
QUESTION 3
The given inequality is

We split the absolute value sign to obtain,
or 
This simplifies to
and 
and 
and 
and 

We write this in interval form to get,
![[-\frac{10}{3},2]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7B10%7D%7B3%7D%2C2%5D)
QUESTION 4
The given inequality is

We split the absolute value sign to get,
or 
This simplifies to,
or 
This implies that,
or 
or 
or 
We write this in interval notation to get,

Answer:
2x^2 -14x +7
Step-by-step explanation:
(4x^2 -5x + 1)-(2x^2 +9x-6)
4x^2 -5x + 1 -2x^2 -9x +6
we have:
2x^2 -14x +7
PART ONE:
To put this information into a fraction you write part over whole:

To change this into a decimal you have to plug in 8÷40 into your calculator:
0.2
PART TWO:
After you subtract 8 from 40, there are 32 fifth graders left.
The fraction will look like this:

To change this into a decimal you have to plug in 32÷40 into your calculator:
0.8
I hope this was helpful!