If it is 11:30, what time would it be in 40 minutes?
1 answer:
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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
then
. where
are rational numbers.
a)
when
Here that is
satisfied. Then
this is wrong. since
That is Thus
is false.
b)
Assume .
That is
Here that is
this condition is satisfied.
Then
this is not true. since
.
This is similar to the truth value of part (a).
Since in both satisfied and
for both the points.
c)
if that is
and
Here this satisfies the condition
.
Then
This also satisfies the condition
.
Hence exists and it is true.
d)
Assume
Here satisfies the condition
Then
satisfies the condition
.
Thus, point exists and it is true. This satisfies the same values as in part (c)
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
