(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.
The formula is given as;
This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.
Therefore, we would have;
Therefore, if the order is relevant, this selection can be done in 6,720 ways.
(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;
The formula can now be applied as follows;
If the order is not relevant, then the selection can be done in 56 ways.
Answer:
B) 4x-5-3x=x+5 has no solution.
Step-by-step explanation:
A) 4x+4=4-4x
4x-(-4x)+4=4
4x+4x+4=4
8x+4=4
8x=4-4
8x=0
x=0/8
x=0
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B) 4x-5-3x=x+5
4x-3x-5=x+5
x-5=x+5
x-x-5=5
-5=5
no solution.
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C) 4x+15-9x=5x+15
4x-9x+15=5x+15
-5x+15=5x+15
-5x-5x+15=15
-10x+15=15
-10x=15-15
-10x=0
x=0/-10
x=0
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D) 4x+2-x=4+3x-2
3x+2=3x+4-2
3x+2=3x+2
infinitely many solutions.
Answer:
I believe the awnser is 3
Answer:
<h3>#5</h3>
<u>Given vertices:</u>
These have same x-coordinate, so when connected form a vertical segment.
<u>The length of the segment is:</u>
The area of the rectangle is 72 square units, so the horizontal segment has the length of:
<u>Possible location of the remaining vertices (to the left from the given):</u>
and
<h3>#6</h3>
<u>Similarly to previous exercise:</u>
- (5, -8) and (5, 4) given with the area of 48 square units
<u>The distance between the given vertices:</u>
<u>The other side length is:</u>
<u>Possible location of the other vertices (to the right from the given):</u>
and
