Answer:

Step-by-step explanation:
Let L be the length of the ladder,
Given,
x = the distance from the base of the ladder to the wall, and t be time.
y = distance from the base of the ladder to the wall,
So, by the Pythagoras theorem,

 ,
,
Differentiating with respect to time (t),




Here,

Also,  ( Ladder length = constant ),
           ( Ladder length = constant ),




Which is the required notation.
 
        
             
        
        
        
The answer is 
x=2t and t=x/2, but we have <span>y = 3t -1
so </span><span>y = 3(x/2) -1
so y = 3x/2  - 1</span>
        
             
        
        
        
4x+30=2(x-10)
4x+30=2x-20
4x-2x= -30-20
2x= -50
x= -25
Mark as brainliest if you find it helpful. 
 
        
        
        
Answer:
C. The amount Kayla charges per children
Step-by-step explanation:
Y=mx+b
m=Slope 
x=Number of children
m=2 means 2 dollars per x(children)
 
        
             
        
        
        
Simplify both sides if needed. The left-hand side needs simplification.
4(x - 6) 

 -2x + 6
4x - 24 

  -2x + 6
All is left to do is add and subtract to get the x variable all alone.
4x - 24  

 -2x + 6
6x - 24  

  6    <-- Add 2x to both sides
6x         

  30  <-- Add 24 to both sides 
x           

 5    <-- Divide both sides by 6
In order to be in the solution set, x has to be less than or equal to 5.
In interval notation: [5, -∞)