Answer:
B. A cow of 5 years is predicted to produce 5.5 more gallons per week. 
Step-by-step explanation:
Let  , where
, where  is the age of the dairy cow, measured in years, and
 is the age of the dairy cow, measured in years, and  is the predicted milk production, measured in gallons per week.
 is the predicted milk production, measured in gallons per week.
Besides, we consider  and
 and  , such that
, such that  , we define the difference between predicted milk productions (
, we define the difference between predicted milk productions ( ) below:
) below:
 (1)
 (1)
If we know that  and
 and  , then the difference between predicted milk productions is:
, then the difference between predicted milk productions is:
 
 

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.
 
 
        
             
        
        
        
Answer:
   52°
Step-by-step explanation:
 
 <em>here's</em><em> </em><em>your</em><em> solution</em>
<em>=</em><em>></em><em> </em><em>we </em><em>know</em><em> </em><em>that</em><em> </em><em>the </em><em>measure</em><em> </em><em>of</em><em> </em><em>angle</em><em> of</em><em> </em><em>rectangle</em><em> </em><em>is </em><em> </em><em>9</em><em>0</em><em>°</em>
<em>=</em><em>></em><em> </em><em> </em><em>3</em><em>8</em><em>°</em><em> </em><em>+</em><em> </em><em>X </em><em> </em><em>=</em><em> </em><em>9</em><em>0</em><em>°</em>
<em>=</em><em>></em><em> </em><em>X </em><em>=</em><em> </em><em>9</em><em>0</em><em>°</em><em> </em><em>-</em><em> </em><em>3</em><em>8</em><em>°</em>
<em>=</em><em>></em><em> </em><em>X </em><em>=</em><em> </em><em>5</em><em>2</em><em>°</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>hope</em><em> it</em><em> helps</em>
 
        
                    
             
        
        
        
If f(x)=x^2-8x-20 then
dy/dx=2x-8 and d2y/dx2=2
A) Since acceleration is a constant positive the parabola opens upward.
B) Since acceleration is a constant positive the parabola will have a vertex at an absolute minimum
C)  The vertex will occur when dy/dx=0, 2x-8=0, 2x=8, x=4
So the axis of symmetry is the vertical line x=4.
The vertex is y(4)=-36, corresponding to the vertex point (4,-36)
The y-intercept occurs when x=0, y(0)=-20, so the y-intercept is the point (0,-20)
        
             
        
        
        
Answer:
x=0
Step-by-step explanation:
Since no value can be given to fit the inequality, it would be zero
 
        
             
        
        
        
Answer:
x = 2 and y = 3
Step-by-step explanation:
For us to have a parallelogram, the opposite sides must be equal in length 
Thus, we have it that;
2y + 2 = y + 5
2y - y = 5-2
y = 3
To get the value of x 
y + 4 = 2x + 3 
Recall y = 3: substitute this value 
3 + 4 = 2x + 3
3+ 4 - 3 = 2x
2x = 4
x = 4/2
x = 2