Answer:
5
Step-by-step explanation:
He bought 1, 12 ounce container for each of the set of berries. The blackberries needed 9 but he had 12 so you take the 9 away from the 12 and you are left with 3 you do the same with the raspberries and you are left with 2 then the strawberries are already at 12 ounces so you add up the 3 and the 2 and you get 5.
<span>the expressions that are NOT polynomials
</span><span>A. x^2-(square root of x)-3
</span><span>C. 5x^1/2 + 4x^2
</span><span>E. x^2-x-12/x+3
(method: check polynomials lesson)</span>
Answer:
A), B) and D) are true
Step-by-step explanation:
A) We can prove it as follows:

B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that
. Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then
.
C) Consider
. This set is orthogonal because
, but S is not orthonormal because the norm of (0,2) is 2≠1.
D) Let A be an orthogonal matrix in
. Then the columns of A form an orthonormal set. We have that
. To see this, note than the component
of the product
is the dot product of the i-th row of
and the jth row of
. But the i-th row of
is equal to the i-th column of
. If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then
E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.
In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set
and suppose that there are coefficients a_i such that
. For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then
then
.
Answer:
i would :)))))
Step-by-step explanation:
Answer:
8u + 9v
Step-by-step explanation: This would be the expression that can determine how much Jay earns within a week because it expresses both kinds of income.