Answer:  1 3/4  cups of apples in each batch 
Step-by-step explanation:
 STEP  1
Writing out the equation to represent if 7 cups of  apples make 4 batches   One batch is as a result of how many  cups of apples 
 LET x be number of cups of apples to make each batch
 7 cups of  apples = 4 Batches 
         x cups of apples = 1 Batch 
STEP 2  Solving by cross multiplication 
1 batch x 7 cups of apples = 4 batches  X x cups of apples
x cups of apples=1 batch x 7 cups of apples / 4batches 
x   = 7 / 4 =  1 3/4 
 number of cups of apples to make each batch=  1 3/4 
 
        
             
        
        
        
Slope = 1
y-intercept = -3, which can be expressed as (0,-3).
y - y_1 = m(x - x_1)
y -(-3) = 1(x - 0)
y + 3 = x 
The slope-intercept form is 
y = x - 3.
The standard form is Ax + By = C.
y = x - 3
3 = x - y
Done. 
 
        
             
        
        
        
Answer:
The domain of function  is set of all real numbers.
 is set of all real numbers. 
Domain: (-∞,∞)
Step-by-step explanation:
Given:


the domain of both the above functions is all real number.
To find domain of :

Substituting functions  and
 and  to find
 to find 
 
The product can be written as difference of squares. ![[a^2-b^2=(a+b)(a-b)]](https://tex.z-dn.net/?f=%5Ba%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29%5D)
∴ 
The degree of the function  is 2 as the exponent of leading term
 is 2 as the exponent of leading term  is 2. Thus its a quadratic equation.
 is 2. Thus its a quadratic equation.
For any quadratic equation the domain is set of all real numbers.  
So Domain of  is (-∞,∞)
 is (-∞,∞)
 
        
             
        
        
        
138 x ? = 75
? = 75/138 = 0.544(3sf)
so about 54.35% (2dp) decrease