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Vaselesa [24]
3 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]3 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]3 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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Can someone please help!
romanna [79]

Answer:

The value of x is 49 and the value of AB is 90

Step-by-step explanation:

You know that AB and DE are congruent. That information is given to you.

You set the equations equal to each other and then solve.


2x - 8 = x + 38


Subtract x


x - 8 = 38


Add 8.


x = 49


Plug back into 2x - 8 to find the value of AB


2 times 49 - 8


98 - 8


90

4 0
3 years ago
Can someone help plz!!
zmey [24]

Answer:

the last bullet point I guess is the answer

4 0
2 years ago
Read 2 more answers
PLEASE HELP!! I WILL AWARD BRAINLIEST AND 50 POINTS!!!!!!!!!!!!!!!!!!!!!! For the given picture: a) List all of the triangles th
PIT_PIT [208]

Answer:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters.  If your teacher just wants one, it would be the middle one.  (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB.  For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD.  For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO.  For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB.  For OBF, it’s BOC and OCB

Step-by-step explanation:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters.  If your teacher just wants one, it would be the middle one.  (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB.  For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD.  For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO.  For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB.  For OBF, it’s BOC and OCB

6 0
3 years ago
What is the slope and equation of a line perpendicular to the y-axis passing through point (–5, –3)?
tia_tia [17]
It should be the answer c
7 0
3 years ago
The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m
balandron [24]

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that a = 18.5, b = 40.5

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

3 0
3 years ago
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