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vfiekz [6]
4 years ago
12

Factories (a+b)^3+8c^3​

Mathematics
1 answer:
Rom4ik [11]4 years ago
8 0

Answer:

(a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

Step-by-step explanation:

Given

(a + b)³ + 8c³ ← this is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Thus

(a + b)³ + 8c³

= (a + b)³ + (2c)³

= (a + b + 2c)( (a + b)² - 2c(a + b) + (2c)² )

= (a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

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Solve using substitution:<br> y = 22x + 10<br> y = 20x + 16
stealth61 [152]

Answer:

x=3, y=76

Step-by-step explanation:

You set them equal because you plug in "y" as 22x+10 into "y=20x+16"

22x+10=20x+16

2x=6

x=3

20(3)+16=76

4 0
3 years ago
Read 2 more answers
Evaluate the expression when x=10, y=−2, and z=−5.
Vlad [161]

\frac{ -  {x}^{2} + 6z }{y}

if x=10 y=-2 and z=-5 then...

\frac{ { - 10}^{2}  + 6 \times  - 5}{ - 2}

we solve this to get...

<em>65</em>

therefore the answer to your question would be 65

hope this helped-have a good day bro cya)

8 0
2 years ago
Simplify by commbining the like terms. 8y - 3y
11Alexandr11 [23.1K]
8y-3y=5y
5y is the answer
3 0
4 years ago
Read 2 more answers
In 2007, there were more than 8.14 million cars for sale. Over the next 3 years, the number of cars decreased by 23%. Write an e
Nina [5.8K]

Answer:

c = 8.14 million×(0.9166)^t

4.83 million  

Step-by-step explanation:

Data:

  t = y - 2007

c₀ = 8.14 million

c₃  = 23 % less than c₁

Part 1. Calculate c₃

c₃ = c₀(1 - 0.23) = 0.77c₀

Part 2. Calculate r

      c₃ = c₀r^t

0.77c₀ = c₀r³

   0.77 = r³              Divided each side by c₀

         r = 0.9166     Took the cube root of each side

The explicit decay model is c = 8.14 million×(0.9166)^t

Part 3. Prediction

t = 2013 - 2007 = 6

c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million

The model predicts that there will be 4.83 million cars for sale in 2013.

7 0
3 years ago
The cost to a store for an MP3 player is $60. The selling price is $1.05. A classmate says that the markup is 175% because $105/
Lapatulllka [165]
<span>MP3 player is $60
</span><span>The selling price is $105

</span><span>A classmate says that the markup is 175% because $105/$60=1.75 . Is your classmate correct?

No. IT's not correct

Original price $60
Selling price $105

$105 - $60 = $45

So

45/60 x 100 = 75%

Price is markup 75% from $60 to $105</span>
7 0
4 years ago
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