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Elodia [21]
3 years ago
12

You are having a conference call with the CEO of a paper company. You have interpreted the number of trees cut down versus profi

t as the function P(x)=-x^4+x^3+7x^2-x-6. Describe to the CEO what the graph looks like. Use complete sentences & focus on the end behaviors of the graph and where the company will break even (where P(x) = 0).
Mathematics
1 answer:
RideAnS [48]3 years ago
3 0
The graph has domain x ∈ ( 0 , +∞ )
It is first increasing and then decreasing. It has a local minimum and a global maximum.
- x^4 + x³ + 7 x² - x - 6 = ( x - 1 ) ( x + 1 ) ( x + 2 ) ( 3 - x )
The company will break even when P ( x ) = 0
The zeroes are:  x 1 = 1,  x 2 = 3
The company has a profit when:  x  ∈ ( 1, 3 )
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Tanzania [10]
3/10 because 2/5 is also equal to 4/10 so therefore 3/10 is smaller than 4/10
7 0
3 years ago
What is the surface area
ArbitrLikvidat [17]

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

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-Chetan K

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Ba%5E2%20-2a-b%5E2%3D0%7D%20%5Catop%20%7B2b%2B2ab%3D0%7D%7D%20%5Cright
oksian1 [2.3K]

Given :-

  • a² - 2a - b² = 0
  • 2b + 2ab = 0

To find :-

  • Value of a and b .

Solution :-

<u>Taking</u><u> </u><u>second</u><u> </u><u>equation</u><u>:</u><u>-</u>

  • 2b + 2ab = 0
  • 2b ( 1 + a ) = 0
  • 2b = 0 or (1+a) = 0
  • b = 0 , a = -1

<u>Substitute</u><u> </u><u>in </u><u>first </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>

  • a² - 2a - b² = 0

<u>When </u><u>b </u><u>=</u><u> </u><u>0</u><u> </u><u>,</u>

  • a² - 2a - 0² = 0
  • a² - a = 0
  • a( a -1) =0
  • a = 0 , 1

<u>When </u><u>a </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>,</u>

  • (-1)² - 2*(-1) - b² = 0
  • 1 + 2 - b² = 0
  • b² = 3
  • b = ±√3

<u>Answer </u><u>:</u><u>-</u><u> </u>

  • a = 0,1 ; b = 0
  • a = -1 , b = ±√3
8 0
2 years ago
I need help solving this equation<br> 4n-9=2(5+2n)
Nastasia [14]

First, use distributive property on the right half.

2 * 5 = 10

2 * 2n = 4n

4n - 9 = 10 + 4n

Add 9 to both sides

4n = 19 + 4n

Subtract 4n from both sides

0 = 19

But thats not true. Therefore, there is no solution.

4 0
3 years ago
1
Svet_ta [14]

Answer:

108π

Step-by-step explanation:

1/3 × 9 × π × (6²)

1/3 × 9π6²

(1 × 9π6²) / 3

(6² × 9π) / 3

6² × 3π

36 × 3π

108π

7 0
3 years ago
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