Answer:
The indifference point is 8 weeks.
Step-by-step explanation:
<u>First, we establish the total cost formula for each:</u>
x= number of weeks
Club:
Total cost= 20 + 15*x
Retail:
Total cost= 17.5*x
<u>Now, we equal both formulas and isolate x:</u>
20 + 15x = 17.5x
20 = 2.5x
8=x
The indifference point is 8 weeks.
<u>Prove:</u>
Total cost= 20 + 15*8= $140
Total cost= 17.5*8= $140
<em>The answer is 10:7, 10/7, 10 to 7. Whichever it's asking for. As long as you know the ratio is 10 rock songs to 7 country songs.
</em><em /><u>
</u><em />This problem can be a simple fraction simplification problem. Here's what I mean:
<em>
</em><em />So, we have 40 rock songs and 28 country songs. Let's put that into a fraction:
<em>
</em>
<em>
</em>To simplify this as much as possible, all we have to do is find the greatest common multiple and divide it by both numbers. the GCF is 4, so all you have to do is divide 40 by 4 and 28 by 4 to get your ratios.
<em>
I hope this helped!!
</em>
<h2>>>> Answer <<<</h2>
Let's check which polynomial is divisible by ( x - 1 ) using hit , trial and error method .
A ( x ) = 3x³ + 2x² - x
The word " divisible " itself says that " it is a factor "
Using factor theorem ;
Let;
=> x - 1 = 0
=> x = 1
Substitute the value of x in p ( x )
p ( 1 ) =
3 ( 1 )³ + 2 ( 1 )² - 1
3 ( 1 ) + 2 ( 1 ) - 1
3 + 2 - 1
5 - 1
4
This implies ;
A ( x ) is not divisible by ( x - 1 )
Similarly,
B ( x ) = 5x³ - 4x² - x
B ( 1 ) =
5 ( 1 )³ - 4 ( 1 )² - 1
5 ( 1 ) - 4 ( 1 ) - 1
5 - 4 - 1
5 - 5
0
This implies ;
B ( x ) is divisible by ( x - 1 )
Similarly,
C ( x ) = 2x³ - 3x² + 2x - 1
C ( 1 ) =
2 ( 1 )³ - 3 ( 1 )² + 2 ( 1 ) - 1
2 ( 1 ) - 3 ( 1 ) + 2 - 1
2 - 3 + 2 - 1
4 - 4
0
This implies ;
C ( x ) is divisible by ( x - 1 )
Similarly,
D ( x ) = x³ + 2x² + 3x + 2
D ( 1 ) =
( 1 )³ + 2 ( 1 )² + 3 ( 1 ) + 2
1 + 2 + 3 + 2
8
This implies ;
D ( x ) is not divisible by ( x - 1 )
<h2>Therefore ; </h2>
<h3>B ( x ) & C ( x ) are divisible by ( x - 1 ) </h3>
Answer:
Option D - Line P
Step-by-step explanation:
Look at the coordinates in the (x, y) column of Max's table and see which line has the same points.