<h2>
Answer:</h2><h3>f(4) = 122</h3>
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<h3>
Calculate</h3>

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<h3>Substitute</h3>

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<h3>Calculate the power</h3>

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<h3>Calculate the product or quotient</h3>

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<h3>Calculate the sum or difference</h3>

<em>I hope this helps you</em>
<em>:)</em>
Answer:
C.5
Step-by-step explanation:
Let the length be x and the width be y, then
2x + 2y = 56
x + y = 28 . . . (1)
x = 4 + 3y . . . (2)
Putting (2) into (1) gives
4 + 3y + y = 28
4y = 28 - 4 = 24
y = 24/4 = 6
x = 4 + 3(6) = 4 + 18 = 22
Therefore, length is 22 inches and width is 6 inches.
The answer is -1.5
2(-1/4•3) is what it looks like after everything is put in. Hope this helps
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>.