Answer:
The answer is
Step-by-step explanation:
Remember that a reflexive relation , where
is the power set of
, is one which conteins the ordered pairs of the form
, for
.
So, As the reflexive and transitive closure of (that we will denote by
) is in particular reflexive, we must add to
the elements
A transitive relation is one in which if the pair
and the pair
are in there, then the pair
must be there too.
So, to complete the relation to be reflexive and transitive we must add the pair
(because
are in
), the pair
, and the pair
because we added the pair
.
Therfore we have that .
Answer:
8
Step-by-step explanation:
In total, Antony sold 10 muffins. We can do a ratio like this:
Because there are 4 blackberry muffins. We solve.
Because 10 is directly half of 20, we can just multiply 4 by 2 because if you multiply 10 by 2, you'd get 20. 4 times 2 is 8. That's the answer.
Answer: The correct options are (1) (5,10), (2) (3,-3), (3) x = -1, (4) , (5) 21s and (6) 0, -1, and 5.
Explanation:
Te standard form of the parabola is,
.....(1)
Where, (h,k) is the vertex of the parabola.
(1)
The given equation is,
Comparing this equation with equation (1),we get,
and
Therefore, the vertex of the graph is (5,10) and the fourth option is correct.
(2)
The given equation is,
To make perfect square add , i.e.,
. Since there is factor 3 outside the parentheses, so subtract three times of 9.
Comparing this equation with equation (1),we get,
and
Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.
(3)
The given equation is
To make perfect square add , i.e.,
. Since there is factor 4 outside the parentheses, so subtract three times of 1.
Comparing this equation with equation (1),we get,
and
The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.
(4)
The given equation is,
To make perfect square add , i.e.,
.
Therefore, the correct option is 4.
(5)
The given equation is,
It can be written as,
It is a downward parabola. so the maximum height of the function is on its vertex.
The x coordinate of the vertex is,
Therefore, after 21 seconds the projectile reach its maximum height and the correct option is first.
(6)
The given equation is,
Use factoring method to find the factors of the equation.
Equate each factor equal to 0.
Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.
Answer:
Step-by-step explanation:
An eigenvalue of n × n is a function of a scalar considering that there is a solution (i.e. nontrivial) to an eigenvector x of Ax =
Suppose the matrix
Thus, the equation of the determinant (A - 1) = 0
This implies that:
Hence, the eigenvalues of the equation are
Also, the eigenvalues can be said to be complex numbers.