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dlinn [17]
3 years ago
15

Factor polynomial below

Mathematics
1 answer:
Drupady [299]3 years ago
8 0
Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
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If a + b + c.= 5 and ab + bc +ca = 10 , then prove that a3+ b3+ c3-3abc = -25
Alex Ar [27]

Start with

(a+b+c)^3=a^3+b^3+c^3+3(a^2b+a^2c+ab^2+ac^2+b^2c+bc^2)+6abc

Given that a+b+c=5, we know (a+b+c)^3=125.

Also, ab+bc+ca=10, so

a^2b+a^2c+ab^2+ac^2+b^2c+bc^2=a(ab+ac)+b(ab+bc)+c(ac+bc)

=a(10-bc)+b(10-ca)+c(10-ab)

=10(a+b+c)-3abc

=50-3abc

So we have

125=a^3+b^3+c^3+3(50-3abc)+6abc

125=a^3+b^3+c^3+150-9abc+6abc

\implies -25=a^3+b^3+c^3-3abc

QED

3 0
3 years ago
The price of a candy bar is $1.53. If this is three cents more than triple the price ten years ago, how much did the candy bar c
Tamiku [17]

Answer:

$0.51

Step-by-step explanation:

Hello! Using what we know, the price of the candy bar at the moment is $1.53, triple the price from 10 years ago. So, triple cents would technically be $0.03. We divide $1.53 and $0.03 and get 51! But, it would not make sense for the price ten years ago to be 51 then go to 1.53, so we make 51 a decimal, 0.51. We can check to see if this correct, by doing 0.51 times 3, because the price is tripling, and we get $1.53! Have an awesome day! :)

6 0
3 years ago
a six pack of fruit juice cost $2.76 at that same rate how much would a 15 pack cost show work mark braniest
ololo11 [35]
First you divide the cost per the number of units (6):
$2.76/6=$0.46

Then you multiply the unitary cost per 15:
$0.46x15=$6.90 (this is the cost of a 15-pack)
3 0
3 years ago
Solve the equation.<br> у+ 3 = -у +9<br> Оy = 1<br> Оy= 3<br> O y=6<br> Оy= 9
Triss [41]

Answer:

y = 3

Step-by-step explanation:

Solve for y:

y + 3 = 9 - y

Add y to both sides:

y + y + 3 = (y - y) + 9

y - y = 0:

y + y + 3 = 9

y + y = 2 y:

2 y + 3 = 9

Subtract 3 from both sides:

2 y + (3 - 3) = 9 - 3

3 - 3 = 0:

2 y = 9 - 3

9 - 3 = 6:

2 y = 6

Divide both sides of 2 y = 6 by 2:

(2 y)/2 = 6/2

2/2 = 1:

y = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer:  y = 3

5 0
4 years ago
Read 2 more answers
GIVING BRAINLIEST FOR BEST ANSWER!
taurus [48]
5/15 is the answer simplified is 1/3
6 0
2 years ago
Read 2 more answers
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