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beks73 [17]
2 years ago
5

PLEASE HELP ASAP Prove that x+a is a factor of (x+a)^5 + (x+c)^5 + (a-c)^5

Mathematics
1 answer:
Brums [2.3K]2 years ago
6 0

P(x)=(x+a)^5 + (x+c)^5 + (a-c)^5

If x+a is a factor of P(x), then -a is a root of P(x).

Therefore

(-a+a)^5+(-a+c)^5+(a-c)^5=0\\\\0^5+(-1(a-c))^5+(a-c)^5=0\\\\(-1)^5(a-c)^5+(a-c)^5=0\\\\-(a-c)^5+(a-c)^5=0\\\\0=0

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A bird sanctuary needs at least 500 lbs of corn per month. The storage shed
Phantasy [73]

Answer:

x≥(500-87)/40

Step-by-step explanation:

You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.

8 0
2 years ago
If 2^2008 – 2^2007 - 2^2006 + 2^2005 = k * 2^2005 then the value of k is equal to​
scZoUnD [109]

Step-by-step explanation:

Maths

Bookmark

if 2

2008

−2

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−2

2006

+2

2005

=k ⋅2

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then the value of k is equal to

Answer

Correct option is

B

3

2

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−2

2007

−2

2006

+2

2005

=k⋅2

2005

⇒[2

2008

−2

2006

]−[2

2007

−2

2005

]=k⋅2

2005

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(2

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(2

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⇒3(2

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)=k⋅2

2005

⇒3[2

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5 0
1 year ago
Read 2 more answers
FIRST ONE TO ANSWER GETS BRAINLIEST Henry divided his socks into five equal groups. Let s represent the total number of socks. W
Alex777 [14]

Answer: There are 20 socks in the first case and there are 75 socks in the second case.

Step-by-step explanation:

Since we have given that

Number of equal groups = 5

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3 0
2 years ago
Together Mary, Jane, and Ruth received $30. Mary received $6, Jane received $9, and Ruth received $15. What percent of the $30 d
Likurg_2 [28]
Hey there! :D 

So, we know that Jane received $9 out of the $30. 

Divide 9 by 30. 

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Turn that into a percentage. 

.3= 30%

We can check this by finding the other percentages. 

Ruth= 15  15/30= .5 50% 

Mary= 6 6/30= .2 20%

30%+20%+50%= 100% <== this works

I hope this helps!
~kaikers 
8 0
2 years ago
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When finding the volume of a soup can, Tommy needs to calculate the area of the base. Describe what type of base Tommy’s soup ca
lyudmila [28]
This is the concept of Area and volume of solid materials; Tommy soup can is likely to have a cylindrical shape. This means that the base of the cylinder will have a circular shape.  If this is the case the volume of the can will be given by:
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3 0
2 years ago
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