Start with the solution
x=-25
use the reverse of what they asked
they wanted division and addition
we use multiplication and subtract

ok
x=-25
we can use subtraction and multiplication in any order
minus 10 from both sides
x-10=-35
multiply both sides by 4
4(x-10)=-140
4x-40=-140 is a possible equation

6 0

3 years ago

Use the data in the table below and a graphing calculator to describe how a linear model compares to a quadratic model. Analyze

Delvig [45]

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:

Sum of X = 0
Sum of Y = 113
Mean X = 0
Mean Y = 22.6
Sum of squares (SSX) = 10
Sum of products (SP) = 28

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:

a = 0
b = 2.8
c = 22.6

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