Answer:
They seem correct! 
Step-by-step explanation:
 
        
             
        
        
        
Answer:
a) Q(-2,1) is false
b) Q(-5,2) is false
c)Q(3,8) is true
d)Q(9,10) is true
Step-by-step explanation:
Given data is  is predicate that
 is predicate that  then
 then  . where
. where  are rational numbers.
 are rational numbers.
a)
when 
Here  that is
 that is  satisfied. Then
  satisfied. Then

 this is wrong. since
 this is wrong. since 
That is 
 Thus
 Thus  
  is false.
is false.
b) 
Assume  .
.
That is 
Here  that is
 that is  this condition is satisfied.
 this condition is satisfied.
Then

 this is not true. since
 this is not true. since  .
.
This is similar to the truth value of part (a).
Since in both  satisfied and
 satisfied and  for both the points.
 for both the points.
c)
if  that is
 that is  and
 and  
 
Here  this satisfies the condition
 this satisfies the condition  .
.
Then 
 This also satisfies the condition
 This also satisfies the condition  .
.
Hence  exists and it is true.
 exists and it is true.
d)
Assume 
Here  satisfies the condition
 satisfies the condition 
Then 
 satisfies the condition
 satisfies the condition  .
.
Thus,  point exists and it is true. This satisfies the same values as in part (c)
 point exists and it is true. This satisfies the same values as in part (c)
 
        
             
        
        
        
Answer:
the answer is D no solution
 
        
             
        
        
        
Answer:
Can you provide the image? Then I can probably answer
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
-4
+3
12
-0.5, 12.25
x = -0.5
Step-by-step explanation:
The x intercepts are the values of x when y = 0 ie the roots of the equation 

or 

We can re-write the above as:
(x+4) (x-3) = 0 
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3
y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12
Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x
Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5
Plugging this value of x into the original function gives the vertex y value

The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5
The graph of the quadratic function shows these values