Answer:
<h2>Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the slope of the perpendicular line we must first find the slope of the original line
The original line is
2x + 3y = 9
3y = - 2x + 9
Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line
So the slope of the perpendicular line is
Hope this helps you
Let
x-------> the number of fiction books
y-------> the number of nonfiction books.
we know that
-----> equation
-----> equation
Add equation and equation
<u>find the value of y</u>
therefore
<u>the answer is</u>
Part a) the number of fiction books is
Part b) the number of nonfiction books is
The quadratic model and the linear model of the table of values are the same
<h3>The linear model of the data</h3>To do this, we make use of a graphing calculator.
From the graphing calculator, we have the following summary:
The regression equation is
y = mx + b
Where
m = SP/SSX = 28/10 = 2.8
b = MY - bMX = 22.6 - (2.8*0) = 22.6
So, we have:
y = 2.8x + 22.6
See attachment for graph (1)
<h3>The quadratic model of the data</h3>To do this, we make use of a graphing calculator.
From the graphing calculator, we have the following summary:
0 X^2 +2.8 X +22.6
The regression equation is
y = ax^2 + bx + c
So, we have:
y = 0x^2 + 2.8x + 22.6
See attachment for graph (1)
<h3>Why both graphs look the same</h3>The graphs look the same because when the quadratic model is simplified, it gives the linear model.
This in other words mean that:
The quadratic model and the linear model of the table of values are the same
Read more about regression at:
#SPJ1
