The answer to your question is 45 
        
             
        
        
        
Answer:

Step-by-step explanation:
We are given the polynomial: 

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial. 
Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0. 
Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2. 
Hence, by the Factor Theorem, P(2) must equal zero. 
Find P(2):

This must equal zero. Hence: 

In conclusion, <em>k</em> = 34/3. 
 
        
             
        
        
        
The table is missing though but you may consider the following calculations :
Y = 1.6 x
for x = 1 minutes
 Y = 1.6 laps
for x = 2 minutes
Y = 3.2 laps
for x = 3 minutes
Y = 4.8 laps
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
You would never buy a 10-pack, because two 5-packs cost less. 
To buy 3 bars you need a single bar and a pair of single bars for £0.82 + £0.82+ £0.41 = £2.05
To buy 30 bars you need 3 pairs of 5-bar packs = 3×£5.75 =  £17.25
To buy the remaining 5 bars you need one 5-bar pack = £3
cost = £2.05 + £17.25 + £3 = £22.30