Answer:
The greatest number of displays that can be built using all the boxes are 
(Using  blue boxes and
 blue boxes and  yellow boxes for each display).
 yellow boxes for each display). 
Step-by-step explanation:
In order to answer the question, the first step is to divide the number of blue boxes and yellow boxes and look for a common ratio ⇒

This means that we have a ratio  for blue boxes and yellow boxes.
 for blue boxes and yellow boxes.
We find that each display will have 5 blue boxes and 7 yellow boxes.
To find the greatest number of displays that can be built we can do the following calculation 

Or 

(We can divide the number of blue boxes by its correspond ratio number or the number of yellow boxes by its correspond ratio number)
In each cases the result is 13 displays.
The answer is 13 identical displays 
 
        
                    
             
        
        
        
Given:
The inequality is

To find:
The inequality that solution describes all the solutions to the given inequality.
Solution:
We have,

Using distributive property, we get




Divide both sides by 3.


It can be written as

Therefore, the value of x is greater than 3. So, the required inequality is either  or
 or  .
.
 
        
             
        
        
        
Answer:
-6/7 < -1/7
because it is more than negative one by seven
 
        
             
        
        
        
The equation that matches the given points is g(x) = -1.4x + 7.6
The standard form of a linear  equation is expressed as 
- m is the slope of the line
Using the coordinate points (3, 3.4), (4,2)

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

Get the required equation:

Hence the equation that matches the given points is g(x) = -1.4x + 7.6
Learn more on equation of a line here; brainly.com/question/9351428
 
        
             
        
        
        
Answer:
(x + 4) and (x + 1)
Step-by-step explanation:
x² + 5x + 4
Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)
The factors are 4 and 1 , since
4 × 1 = 4 and 4 + 1 = 5 , then
x² + 5x + 4 = (x + 4)(x + 1) ← in factored form