Good evening ,
Answer:
<h2>x = 3   or   x = -21</h2>
Step-by-step explanation:
x²+18x=63 ⇌ x²+18x+81 = 63 + 81
⇌ (x+9)² = 144  ⇌ (x+9)² = 12² ⇌ (x+9-12)(x+9+12) = 0
⇌ (x-3)(x+21) = 0 
⇌ x=3 or x=-21.
:)
 
        
                    
             
        
        
        
Answer:
a) -36
b) y = -36x +34
Step-by-step explanation:
a) The slope is found using the derivative of the function.
   f'(x) = dy/dx = 0 -9(2x) = -18x
Then at x=2, the slope is ...
   f'(2) = -18·2 = -36
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b) The point-slope form of the equation can be written as ...
   y = -36(x -2) -38
Simplifying to slope-intercept form, we get ...
   y = -36x +34
 
        
             
        
        
        
Answer:
Step-by-step explanation:
7x + 6 = 7x - 5
Collecting like terms
7x - 7x = -5 - 6
The x is canceled out so no solution
 
        
             
        
        
        
Answer: Hope This Helps!
Step-by-step explanation:
Simplify the expression.
Exact Form:
87/40
Decimal Form:
2.175
Mixed Number Form:
2 7/40
 
        
             
        
        
        
Answer:
129.996 cubic feet
Step-by-step explanation:
Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:

First, we have to find the radius, which is:
D = 2r
So the radius is 3 feet, since it is half of the diameter. Then, we plug in the values.

Now, we solve. Exponents are first...
3.14(9)(4.6)
Now multiply left to right.
28.26(4.6)
129.996 cubic feet
Therefore, the barrel can hold 129.996 cubic feet of oil. Hope this helps you!