Shifting to left mean adding the number from each occurrence of x from the given function.
So, shifting x³ , 3 units to left will result in:
f(x) = (x + 3)³
Shifting down means subtracting the number from the function value. 
So, shifting 2 units down will result in:
f(x) = (x + 3)³ - 2
Therefore, option A is the correct graph
        
                    
             
        
        
        
Answer:
41.89 units
Step-by-step explanation:
Area of a sector: Θ/360 * (pi)(r)^2
 
        
             
        
        
        
18).  16:80 is the ratio but in simplest form is; 5:0
19).   36:54 is the ratio but in simplest form is; 2:3
20).   12:24 is the ratio but in simplest form is; 1:2
hope that helps:D
 
        
             
        
        
        
Answer:

Step-by-step explanation:
<u>Geometric Sequences</u>
There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.
In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
112, -28, 7, ...
It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.
Let's find the common ratio by dividing each term by the previous term:

Testing with the third term:

Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:


 
        
             
        
        
        
Answer:
Area of four walls is 3960 square feet. 
Step-by-step explanation:
length, L = 30 ft 
Width, W = 50 ft 
height, H = 6 ft 
The area of walls is 
= 2 (L W + W H + H L) 
= 2 (30 x 50 + 50 x 6 + 6 x 30) 
= 2 (1500 + 300 + 180) 
= 3960 square feet