a) C(0.5) = 39,  C(2)  =  39,  C(4)  =  69
b) Answers in part (a) represents the values of C at x = x₀
c) C(x) is continuous at x = 2
C (x) = 39 for 0 ⩽ x ⩽ 2
Since x = 0.5 is in the range 0 ⩽ x ⩽ 2:
C(0.5)  =  39
Since x = 2 is in the range 0 ⩽ x ⩽ 2
C(2)  =  39
Since x = 4 is in the range x  >  2
C(4) = 39 + 15(x - 2)
C(4) = 39  +  15 (4 - 2)
C(4)  =  39  +  15(2)
C(4)  =  39  +  30
C(4)  =  69
b) The answers in part A represents C(x). That is, the values of C at x = x₀
c) Is C(x) continuous at x = 2
C(2)   =  39

Since  , the function C(x) is continuous at x = 2
, the function C(x) is continuous at x = 2
Learn more here: brainly.com/question/20710468
 
        
             
        
        
        
Answer:

Step-by-step explanation:
we have


we know that

substitute the variable x in the function g(x) by the function f(x)
so

Evaluate 
For x=0


 
        
             
        
        
        
Answer:
y = 3/4x - 2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: 
Step 1: Define
(0, -2) y-intercept
(4, 1) random point
Step 2: Find slope <em>m</em>
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y = 3/4x + b
Step 3: Write linear equation
y = 3/4x - 2
 
        
             
        
        
        
Answer:
2/3 would be equal to 4/6, not 5/6.4/5 can't be equivalent to 2/3 either. 
Step-by-step explanation:
 
        
             
        
        
        
987-343= 644
Not rounded is 644.62