Answer:
1/4
Step-by-step explanation:
We can use the slope formula to find the slope
m = (y2-y1)/(x2-x1)
     = (2-0)/(4 - -4)
     = (2-0)/( 4+4)
     = ( 2/8)
     = 1/4
 
        
                    
             
        
        
        
Given the equation:

(a) You can identify that the student applied the Subtraction Property of Equality by subtraction 3 from both sides of the equation:

However, the student made a mistake when adding the numbers on the right side. 
Since you have two numbers with the same sign on the right side of the equation, you must add them, not subtract them and use the same sign in the result. Then, the steps to add them are:
- Add their Absolute values (their values without the negative sign).
- Write the sum with the negative sign.
Then:

(b) The correct procedure is:
1. Apply the Subtraction Property of Equality by subtracting 3 from both sides (as you did in the previous part):

2. Apply the Multiplication Property of Equality by multiplying both sides of the equation by 6:

Hence, the answers are:
(a) The student made a mistake by adding the numbers -18 and -3:

(b) The value of "x" should be:
 
 
        
             
        
        
        
Answer:
I think it's A
Step-by-step explanation:
 
        
             
        
        
        
Answer:
1 
Step-by-step explanation:
 
        
                    
             
        
        
        
The volume of a box is the amount of space in the box
The dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in
<h3>How to determine the dimensions that minimize the cost</h3>
The dimensions of the box are:
Width = x
Depth = y
So, the volume (V) is:

The volume is given as 64 cubic inches.
So, we have:

Make y the subject

The surface area of the box is calculated as:

The cost is:
 --- the base is twice as expensive as the sides
 --- the base is twice as expensive as the sides
Substitute 


Differentiate

Set to 0

Multiply through by x^2

Divide through by 4

Add 64 to both sides

Take the cube roots of both sides

Recall that:

So, we have:


Hence, the dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in
Read more about volume at:
brainly.com/question/1972490