Answer:I searched it up on go
Step-by-step explanation:and I got 5x-5+ x/2
Answer:
Recall that a relation is an <em>equivalence relation</em> if and only if is symmetric, reflexive and transitive. In order to simplify the notation we will use A↔B when A is in relation with B.
<em>Reflexive: </em>We need to prove that A↔A. Let us write J for the identity matrix and recall that J is invertible. Notice that 
. Thus, A↔A.
<em>Symmetric</em>: We need to prove that A↔B implies B↔A. As A↔B there exists an invertible matrix P such that 
. In this equality we can perform a right multiplication by 
and obtain 
. Then, in the obtained equality we perform a left multiplication by P and get 
. If we write 
and 
we have 
. Thus, B↔A.
<em>Transitive</em>: We need to prove that A↔B and B↔C implies A↔C. From the fact A↔B we have and from B↔C we have 
. Now, if we substitute the last equality into the first one we get
.
Recall that if P and Q are invertible, then QP is invertible and 
. So, if we denote R=QP we obtained that
. Hence, A↔C.
Therefore, the relation is an <em>equivalence relation</em>.
3x-3+4x^2-6x
4x^2-6x+3x-3 (arrange them in order)
4x^2-3x-3
do u want more simplified form ?
7.90 not 100 percent sure though.
Answer:
69.1% of the woman spend less than $160
Step-by-step explanation:
Assuming that the random variable X= spend on beauty products by women during summer months distributes normally , then using the standarized variable Z:
Z= (X - mean / st. dev) = (160.00-146 )/28 = 0.5
then using normal probability tables for Z:
P(X<160)=P(Z<0.5) = 0.691 (69.1%)
thus 69.1% of the woman spend less than $160
