<span> 8 - 4x=4 - 3(2x+6)
<=> 8 - 4x = 4 - 6x - 18
<=> 8 - 4 + 18 = 4x - 6x
<=> 22 = -2x
x = -11</span>
Yes, I agree with the researcher's method. All the values of
in the table correspond to the values of n by using their formula.
Step-by-step explanation:
Step 1:
If we substitute the values of n in the researcher's equation and we get the right values of
, we can agree with the researcher's method.
The researcher's formula is
Here
is the wombat population and n is the number of years.
Step 2:
When n = 1, 
when n = 2, 
when n = 3, 
when n = 4, 
when n = 5, 
As all the values correspond to the values on the table, I agree with the researcher's method.
Answer:
1. Slope-intercept form: 
Standard form: 
2. Slope-intercept form: 
Standard form: 
3. Slope-intercept form: 
Standard form: 
Step-by-step explanation:
Slope intercept form: 
where:
= y-coordinate
= slope
= x-coordinate
= y-intercept
Standard form: 



Slope-intercept form: 
Standard form: 


Slope-intercept form: 
Standard form: 



Slope-intercept form: 
Standard form: 
The type of transformation that maps <span>∆ABC onto ∆A′B′C′ is a
reflection transformation
The triangle is reflected across the line y = 0.
</span><span>
When ∆A′B′C′ is reflected across the line x = -2 to form ∆A″B″C″,
B'' vertex
of ∆A″B″C″ will have the same coordinates as B′</span>