The attached diagram represents the Venn diagram of the sets
<h3>How to draw the Venn diagram?</h3>
The sets are given as:
- The universal set, U = The set of integers.
- A = The set of even integers.
- B = The set of odd integers.
- C = The set of multiples of 3.
- D= The set of prime numbers
From the above representation, we have the following highlights:
- Set A and set B will not intersect, because no number can be even and odd
- Set C and set D will intersect set A because they have common elements 6 and 2, respectively
- Set C and set D will intersect set B because they have common elements 3 and 3, respectively
Using the above highlights, we can now draw the Venn diagram
See attachment for the Venn diagram
Read more about Venn diagram at:
brainly.com/question/4910584
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Answer:
B:25°
Step-by-step explanation:
Now 
gets bisected by 
.
Since, the angle is bisected, this means that the angle is split into two equal parts or the angle is halved.
We know that one of the angles is 
so the other angle has to be also.
Hence, the 
.
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<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
_____
<h3>f(x) = -1/4·2^(x+1) -1</h3>
You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)
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Answer:
-9(2p+1)
Step-by-step explanation:
-18p - 9
find the GCF (greatest common factor) for the expression.
-9
then, divide each term by the GCF
-18p / -9 -9 / -9
= 2p = 1
next, put the two terms you get when dividing into the final form of the answer:
GCF on the outside and quotients on the inside
-9(2p+1)
hope this helped! ;)
