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Vaselesa [24]
2 years ago
13

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) = −x4 + x3 + 7x2 − x − 6. Describe to the CEO what the graph looks like and, in general, how to sketch the graph without using technology. Use complete sentences, and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0). (10 points)

Mathematics
2 answers:
loris [4]2 years ago
8 0
You can only cut down a integer number of trees. So you might look at a few integer values for x. As x get large the –x4 term dominates the expression for big losses. x = 0 is easy P(x) = -6. Without cutting any trees you have lost money Put x = 1 and you get for the terms in order  -1 + 1 + 7 -1 -6 = 0. So P(x) crosses zero just before you cut the first tree. So you make a profit on only 1 tree. However when x=10 you are back into no profit. So compute a few values for x = 1,2,3,4,5,6,7,8,9.
Bond [772]2 years ago
5 0

Answer:  

Given Function is,

P(x) = -x^4 + x^3 + 7x^2 - x - 6

Which is the bi quadratic function.

For x-intercept, P(x)=0

Thus, -x^4 + x^3 + 7x^2 - x - 6=0

⇒ (x-1) ( -x^3+7x+6)=0

⇒ (x-1) (x+1) (x+2) (x-3) = 0

⇒ The x-intercept of the functions are, (-2,0),  (-1,0), (1,0) and ( 3,0)

Similarly, for y-intercept,

x = 0 , y = -6

Thus, y-intercept of the given function is,  (0,-6)

The critical points of the function f(x) are ( where f'(x) = 0), (2.254, 12.949)

and (-1.574, 2.879)


End Behavior:

Since, The leading coefficient is negative and has even degree,

Therefore, end behavior of the given function is,

f(x)\rightarrow -\infty as x\rightarrow -\infty

And, f(x)\rightarrow -\infty as x\rightarrow +\infty



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The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the f
geniusboy [140]

Answer:

The answer is "266.5".

Step-by-step explanation:

Given value:

115, 370, 250, 93, 540, 225, 177, 425, 318, 182, 275, and\  228.

find:

Sample mean=?

=\frac{\text{total dental expenses}}{number \ of \ employees}

=\frac{115+370+250+93+540+ 225+ 177+ 425+ 318+ 182+ 275+228}{12}\\\\=\frac{3,198}{12}\\\\=266.5\\\\

7 0
2 years ago
In the expression “a-10”, what is the 10?
k0ka [10]

Answer:

it means to the power of so a is youre variable and the ten is the power to so you would multiply it 10 times so a^10 is to the tenth power

Step-by-step explanation:

5 0
3 years ago
there are two pizzas. Conor ate 1/4 of a pizza, Brandon ate 2/8, Tyler ate 3/4, and Audrey ate 4/8. who ate the most of the two
katovenus [111]
Let's say that each pizza is sliced into 8 equal sized pieces, I have to make all of the fraction have the denominator of 8.
Conor: 1/4 * 2/2 = 2/8
Tyler: 3/4 * 2/2 = 6/8
Brandon: 2/8
Audrey: 4/8
Then I'll put the fractions in order from least to greatest. 2/8, 2/8, 4/8, 6/8. Then you would have to multiply each fraction by 2 since there are two pizzas that have 8 equally sized pieces.
Brandon: 2/8 *2/2 = 4/16
Conor: 2/8 * 2/2 = 4/16
Audrey: 4/8 * 2/2 = 8/16
Tyler: 6/8 * 2/2= 12/16
This means that Tyler ate the most of the two pizzas.


4 0
3 years ago
Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circl
sergiy2304 [10]
A) The equation for circumference is C=2piR. So Filling in for circle A we have 28.26=2*pi*4.5 so we want to isolate pi which I'm gonna call x for it's easier for me xD. So we're gonna start by dividing 4.5 from each side which is gonna leave us with 6.28=2*x which gives you x(pi)= 3.14. For circle B we have 15.70=2*x*2.5 isolate x by first dividing 2.5 which leaves us again with 6.28=2x and x= 3.14. 
B) The equation for area is A=piR^2. So again for circle A we have 63.585=x9^2. This one is harder but also are you sure that the area is 63.585 it's supposed to be 254.469 (We'll come back to this)
C) The observation you can make about the value of pi for circles A and B is that it stays consistent at 3.14
8 0
3 years ago
The diagram shows a translation of quadrilateral abcd <br> What is the symbolic representation
lilavasa [31]

9514 1404 393

Answer:

  D.  (x, y) ⇒ (x +8, y -2)

Step-by-step explanation:

The image is 8 units right and 2 units down from the preimage. That is, each x-coordinate is increased by 8, and each y-coordinate is decreased by 2. The appropriate choice is ...

  (x, y) ⇒ (x +8, y -2)

5 0
2 years ago
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