Using the defects method, which of these relationships represents the Law of Cosines if the measure of the included angle betwee
1 answer:
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Answer:
206 albums The King of Limbs and 34 albums The Best of Radiohead sold
Step-by-step explanation:
Let x be the no. of The album The Best of Radiohead sold .
We are given that total sales of both albums in one week is 240 albums.
So, number of albums The King of Limbs = 240 -x
Cost of 1 album The Best of Radiohead by Radiohead is $13.83
Cost of x album The Best of Radiohead by Radiohead = 13.83x
Cost of 1 album The King of Limbs, by Radiohead= $7.83
Cost of (240-x) album The King of Limbs, by Radiohead=7.83(240-x)
The total cost revenue of both albums in that week is 2083.20
So, 13.83x+7.83(240-x)=2083.20
13.83x+1879.2-7.83x=2083.20
13.83x-7.83x=2083.20-1879.2
6x=204
x=34
The no. of The album The Best of Radiohead sold is 34
Number of albums The King of Limbs = 240 -x =240-34=206
Hence 206 albums The King of Limbs and 34 albums The Best of Radiohead sold
The input value is the number of times you fold it. The input value is also known as the x-value.
The output value is its thickness. The output value is the y-value.
When you don't fold it all, the thickness will remain the same, which is 2. The ordered pair would be (0, 2).
When you fold it once, the thickness will double from 2 to 4. The ordered pair would be (1,4).
When you fold it a second time, the thickness will double from 4 to 8. The ordered pair would be (2,8).
Fold it one more time, and the thickness will be 16. The ordered pair is (3,16)
Fold it the fourth time, and the thickness doubles. 16 x 2 = 32 The ordered pair is (4, 32)
Fold it the fifth time, and the thickness goes from 32 to 64. The ordered pair is (5,64)
The ordered pairs would be:
(0,2)
(1,4)
(2,8)
(3,16)
(4,32)
(5,64)
(6,128)
(7,256)
and so on :P
The question asks for 6 ordered pairs, so I bolded the first six.
Now, the equation for this would be
If we graph that, and we do the vertical line test, then we know this is a function.
It is a function because each x-value has a different y-value. There are no y-values that have the same x-values.
<span>I have attached the graph of that line.</span>
The output value is its thickness. The output value is the y-value.
When you don't fold it all, the thickness will remain the same, which is 2. The ordered pair would be (0, 2).
When you fold it once, the thickness will double from 2 to 4. The ordered pair would be (1,4).
When you fold it a second time, the thickness will double from 4 to 8. The ordered pair would be (2,8).
Fold it one more time, and the thickness will be 16. The ordered pair is (3,16)
Fold it the fourth time, and the thickness doubles. 16 x 2 = 32 The ordered pair is (4, 32)
Fold it the fifth time, and the thickness goes from 32 to 64. The ordered pair is (5,64)
The ordered pairs would be:
(0,2)
(1,4)
(2,8)
(3,16)
(4,32)
(5,64)
(6,128)
(7,256)
and so on :P
The question asks for 6 ordered pairs, so I bolded the first six.
Now, the equation for this would be
If we graph that, and we do the vertical line test, then we know this is a function.
It is a function because each x-value has a different y-value. There are no y-values that have the same x-values.
<span>I have attached the graph of that line.</span>