Answer:
-x²-8x+6
Step-by-step explanation:
Given the polynomial expression
2x²+7x+ 6 and 3x² – X
Taking their difference
2x²+7x+ 6  - (3x² – X)
2x²-3x²+7x+x+6
-x²-8x+6
Hence the required difference is -x²-8x+6
 
        
                    
             
        
        
        
 Answer:
6
Step-by-step explanation:
STEP
1
:
            1
 Simplify   —
            3
The equation at the end of step
1
:
  12       1
  —— +  (((—)2) • 9) • 3)
  4        3
STEP
2
:
Equation at the end of step
2
:
  12       1
  —— +  ((—— • 9) • 3)
  4       32
STEP
3
:
Canceling Out:
 3.1      Canceling out  32 as it appears on both sides of the fraction line
Equation at the end of step
3
:
  12    
  —— +  (1 • 3)
  4     
STEP
4
:
            3
 Simplify   —
            1
Equation at the end of step
4
:
  3 +  3
STEP
5
:
Pulling out like terms
 5.1      Pull out     3 
After pulling out, we are left with :
      3 • ( 1 - (-1) ))
Final result :
  6
 
        
                    
             
        
        
        
So, we need to do the distance she travelled (21 miles) divided by the rate at which she travelled (4 hours). Therefore, because 21 divided by 4 is 5.25, she biked at a speed of 5.25 mph (Miles per hour). So, if she bikes 5.25 miles every hour we can divide 42 by 5.25 to get the time it would take her to travel 42 miles. Now, 42 divided by 5.25 equals 8, so that means for Shelly to bike 42 miles at her average speed of 5.25 mph, it would take her 8 hours.
 
        
                    
             
        
        
        
<span>75 lbs of Earl Grey
225 lbs of Orange Pekoe
Some definitions.
E = number of pounds of Earl Grey
(300-E) = number of pounds of Orange Pekoe
Expression for selling price of new blend
P=300*4.5
"there is to be no difference in revenue from selling the new blend versus selling the other types." so
P = 6E + 4(300-E)
Set them equal to each other, then solve for E
300*4.5 = 6E + 4(300-E)
1350 = 6E + 1200 - 4E
150 = 6E - 4E
150 = 2E
75 = E
So 75 lbs of Earl Grey was used and 300-75 = 225 lbs of Orange Pekoe</span>