Determine f’s end behavior

f(x)= -5x^6+8x^5-1/ x^2 -9

Determine Fs End Behavior F(x)= -5x^6+8x^5-1/ X^2 -9

Answers

Answer 1

Answer:

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

Step-by-step explanation:

The given function is;

f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)

Using long division to divide this as attached, we have;

f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)

Thus, the leading coefficient here is -5 and the polynomial degree is 4.

Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

Determine Fs End Behavior F(x)= -5x^6+8x^5-1/ X^2 -9

Related Questions

Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.


write an equation that represents this situation?

Pls help​

Answers

Answer:

30-12=18

18-18=0

Step-by-step explanation:

2x + 12 = 30

X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.

7.) The time needed to travel a certain distance varies inversely with the rate of speed. It takes 8 hours to travel a certain distance at 36 miles per hour.
a.) Write an equation to describe the situation. (Note: the variable that represents time must be on one side by itself.)





b.) How long will it take to travel the same distance at 60 miles per hour?

Answers

Answer:

t=time

v=speed

t=k/v

8hr=k/36 mi/hr

k=288 mi

t=288 mi24 mi/hr =12 hours.

-------------------

The distance is 288 miles by multiplying 36 by 8.

divide that by 24 mph, and it is 12 hours.

Sorry I need points

PLEASE HELP! Math (recursive sequences)

Answers

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

a ladder 6m long leans against the wall of house if the foot of the ladder makes an angle 58 degree with tye ground how far is the base of ladder from the wall​

Answers

Answer:

The base of the ladder is 3.2 meters far from the wall.

Step-by-step explanation:

We need to calculate the base of a right triangle. The given information is:

h: hypotenuse = length of the ladder = 6 m      

b: is the base =?

θ: is the angle between the hypotenuse and the base = 58°

To find the base we can use the following trigonometric equation:

[tex]cos(\theta) = \frac{b}{h}[/tex]

[tex] b = cos(\theta)*h = cos(58)*6 = 3.2 m [/tex]

Therefore, the base of the ladder is 3.2 meters far from the wall.

I hope it helps you!

Find the missing side

Answers

Answer:

x = 12.35

Step-by-step explanation:

Tan(39) = 10/x

Tan(39) * x = 10

x = 10 / Tan(39)

x = 12.35

Hope this helps!

Answer:

Step-by-step explanation:

Remember SOHCAHTOA.

In this case, we use TOA.

tan(39) = 10/x

x = 10/tan(39)

x = 12.349

( 18points)Help!!!

PlzzPlease help me bunnies <3
No monkey business plz. Or I will report

Answers

Answer:

It's indeed A. Yet I think of reporting multiple same questions as spam and nonsense titles.

but nah, I won't, would be kinda focused on the toxic part then :D

#1. If someone puts $200 into an account at 8% interest for you when you are born, how much
money will you have when you are 65 years old?

Answers

Answer:

$1,040

Step-by-step explanation:

First, turn your percent into a decimal

8% = 0.08

Next, multiply your decimal by 65.

0.08 × 65 = 5.2

Lastly, multiply your product by $200

5.2 x $200 = $1,040

(120+30)÷[66÷11{26-3×8+(17-4×4)}] plz solve this question plz i will give u 15 points​

Answers

120 + 30 = 150
66/11 = 6
26-3x8 = 184
17-4x4 = 52

150/6 = 25
184 + 52 = 236

Step-by-step explanation:

[tex]\frac{120+30}{\frac{66}{1126}-8*3+17-4*4 }[/tex]

[tex]\frac{-42225}{6458}[/tex]

How do you prove that lines are similar in triangles if it is parallel? (look at photo)

Answers

Answer:

they are similar cuz it resembles a "z" pattern. The angles are so the same.

divide the LCM of 48,64,and 80 by thier HCF​

Answers

Answer:

HCF=8

LCM=480

Step-by-step explanation:

prime factor trees

Answer:

60

Step-by-step explanation:

48=2×2×2×2×3

64=2×2×2×2×2×2

80=2×2×2×2×5

H.C.F.=2×2×2×2=16

L.C.M=2×2×2×2×2×2×3×5

L.C.M.÷H.C.F.=(2×2×2×2×2×2×3×5)/(2×2×2×2)=2×2×3×5=60

least to greatest.
8. Choose the inequality that represents the following
graph.
4 +
-5 -4
+
-2
-3
-1
0
1
2
3
4
5
A. x < 1
B. X<1
find
D. XX1
C. x > 1

Answers

Answer:

4+5-1535648&574£abjibav fgjr

Answer:

D. x ≥ 1

Step-by-step explanation:

The graph shows a shaded circle which starts at 1. This implies that 1 is included in the possible values of x. The line goes from 1 towards our tight. This means that the possible values of x are greater than or equal to 1.

The inequality representing the graph would be:

x ≥ 1

The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm. Show that ia + 91 +b=0 where a and b are integers to be found.​

Answers

Answer:

[tex]x^2-10x+18=0[/tex]

a = -10 and b = 18.

Step-by-step explanation:

Let w represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

[tex]20=2(x + w)[/tex]

Let's put w in terms of x. Divide both sides by two:

[tex]10=x+w[/tex]

And solve for w:

[tex]w=10-x[/tex]

So, the rectangle measures x by (10 - x) cm.

According to the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

a and b are the legs and c is the hypotenuse.

Substitute x for a, w for b, and 8 for c:

[tex]x^2+w^2=8^2[/tex]

Simplify and substitute:

[tex]x^2+(10-x)^2=64[/tex]

Square:

[tex]x^2+(100-20x+x^2)=64[/tex]

Isolate the equation. So:

[tex]2x^2-20x+36=0[/tex]

Since the leading coefficient is one, divide both sides by two:

[tex]x^2-10x+18=0[/tex]

Therefore, a = -10 and b = 18.

The bike owner counted 32 wheels and 18 seats.
Remember that each bicycle and unicycle has 1 seat. Use b for the number of
bicycles and u for number of unicycles.

Answers

Answer:

b = 14

u = 4

Step-by-step explanation:

I manually counted because I forgot how to solve this. HAHA

Hope this helps

The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter

Answers

Answer:

72 m^3

Step-by-step explanation:

volume of the kiosk = volume of cylinder + volume of cone

volume of a cylinder = nr^2h

n = 3.14

r = radius = 5/2 = 2.5

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x (2.5^2) x 3 = 58.88  

Volume of a cone = 1/3(nr^2h)

3.14 x 1/3 x (2.5^2) x 2 = 13.08

13.08 + 58.88 = 71.96

To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

= 72 m^3

Mary has $27 in her savings account. Each day she adds $1 to this account. Which equation best
represents the amount of money, y, Mary will have in this account after 3 days?

Answers

Answer:

y=1x+27

y=1(3)+27

Y=30

Step-by-step explanation:

X=DAYS

M=DOLLARS

Hope this helps brotha

Re write 12% as common fraction in simple form

Answers

Answer:

3/25

Step-by-step explanation:

Answer:

=325

Showing Work:

12%=12100

=0.12

=0.121×100100

=12100

=325

find the value of x.

Answers

Answer:

x = sqrt(33)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

4^2 + x^2 = 7^2

16 + x^2 = 49

Subtract 16 from each side

x^2 = 49-16

x^2 = 33

Take the square root of each side

sqrt(x^2) = sqrt(33)

x = sqrt(33)

Pythagorean Theorem:

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]

To find the value of x. Let's use this formula:

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

Imagine that "a" is the "x".

[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]

Hence, The value of x is,

[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]

_________

#LetsStudy

Given the similar rectangles, solve for x
1. X=12
2.x=18
X=21
X=14

Answers

Answer:

x=12

Step-by-step explanation:

since they are similar triangle .Use these ratios

9/6=x+9/14

do cross multiplication

6(x+9)=14*9

6x+54=126

6x=126-54

x=72/6

x=12

A store paid $800 for a computer. To make a profit, they need to sell it for 15%
more than what they paid. What is the new price of the computer

Answers

Answer:

$920

Step-by-step explanation:

800(1.15) = 920

plzz help me ,.......​

Answers

Answer:

Step-by-step explanation:

answer for question no 3

answer for question no 4

fjhghdjd ffjfnfnfjdj​

Answers

Answer:

$77.90

Step-by-step explanation:

The range between the highest and lowest is 27.50 so the lowest should be 27.50 less than 105.40. 105.40-27.50=77.90

So the lowest pay is $77.90

A 16ft ladder leans against the side of a house. The bottom of the ladder is 15 ft away from the side of the house. Find x, the angle of elevation of the ladder.
Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP I WILL MARK BRAINLIEST

Answers

Answer:

x ≈ 69.6°

Step-by-step explanation:

The angle of elevation is the measure of angle x

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{16}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{15}{16}[/tex] ) ≈ 69.6°

The angle of elevation is 69.6° ( to the nearest tenth )

Divide and simplify
x^2−9/x^2−16/x^2+5x+6/x-4
step by step pls
thanks

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{(x+2)(x+3)^2(x-3)}{(x-4)^2(x+4)}[/tex]

Step-by-step explanation:

i'm going to assume what you have looks like

[tex]\frac{x^2-9}{\frac{x^2-16}{\frac{x^2+5x+6}{x-4}}}[/tex]

Let's start by factoring everything

x²-9= (x+3)(x-3)

x²-16= (x+4)(x-4)

x²+5x+6=(x+3)(x+2)

x-4= x-4

which means what we have looks like

[tex]\frac{(x+3)(x-3)}{\frac{(x+4)(x-4)}{\frac{(x+3)(x+2)}{x-4}}}=\frac{(x+3)(x-3)}{(x+4)(x-4)}\div\frac{x-4}{(x+3)(x+2)}=\frac{(x+3)(x-3)}{(x+4)(x-4)}*\frac{(x+3)(x+2)}{x-4}=\frac{(x+3)^2(x-3)(x+2)}{(x+4)(x-4)^2}[/tex]

And I think that's as simplified as it can get

what is the answer for , 5ײ + 1 + × + 3ײ​

Answers

The answer is 8x^2+x+1

Explanation:

-collect like terms. We have 5x^2 and 3x^2. Add those two and then rewrite the equation in quadratic form. So the answer is 8x^2+x+1

- - - - - - - - - - - - - - - - - - - - - - - - -

Answers

Answer:

x = ±3 sqrt(2)

Step-by-step explanation:

x^2 = 18

Take the square root of each side

sqrt(x^2) = sqrt(18)

x = ± sqrt(18)

x =±sqrt(9*2)

x = ±sqrt(9) sqrt(2)

x = ±3 sqrt(2)

can I get some help in algebra 1

Answers

You didn’t write the question and thanks for the point

plz help i have like 1 braincell

Answers

Answer: Should be (3, 1) :)

Step-by-step explanation:

Answer: (4,-8)

Step-by-step explanation:

you look at the point it is and flip it to a negative

Marking brainliest

What does this quote mean? “The time is always right to do what is right”- MLK. don’t use the internet pls !!

Answers

To me, this means doing a righteous act has no constraint based on what situation anyone is in.

You spin the spinner shown below once. Each sector shown has an equal area.
What is P(not squirrel)?
If necessary, round your answer to 2 decimal places.
KAHN ACADEMY

Answers

Hope This Helps!!!

Hope This Helps!!!Have A Great Day!!!

Fill in the blanks with two consecutive integers to complete the following inequality.


? < √97 < ?

Answers

Answer:

9 < √97 < 10

Step-by-step explanation:

√97 is a little less than √100

Which is 10

9 < √97 < 10

Answer:  9 < √97 < 10

=====================================================

Explanation:

Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2

We can apply the square root to all three sides to get the following

[tex]81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\[/tex]

Using a calculator, we can help verify this

[tex]\sqrt{97} \approx 9.85[/tex]

Other Questions
Which molecule is used to tell tRNA which amino acid is needed?A. rRNAB. mRNAC. siRNA Formulating Financial Statements from Raw DataFollowing is selected financial information from General Mills, Inc., for its fiscal year ended May 29, 2016 ($ millions):*Cash from financing activites includes the effects of foreign exhange rate fluctuations.Revenue $16,563.1 Cost of goods sold$10,733.6Cash from operating activities 2,629.8 Cash, ending year763.7Cash, beginning year 334.2 Total liabilities16,405.2Stockholders' equity 5,307.1 Cash from investing activities93.4Noncash assets 20,948.6 Total expenses (other than cost of goods sold)4,092.7Cash from financing activities* (2,293.7) (a) Prepare the income statement, the balance sheet, and the statement of cash flows for General Mills for the fiscal year ended May 29, 2016.Hint: Enter negative numbers only for answers in the statement of cash flows (if applicable).General Mills, Inc.Income Statement ($ millions)For Year Ended May 29, 2016Revenue $AnswerAnswerCash, ending yearTotal expensesCost of goods soldNoncash assets AnswerGross profit AnswerAnswerCash, ending yearTotal expensesCost of goods soldNoncash assets AnswerNet income $AnswerGeneral Mills, Inc.Balance Sheet ($ millions) May 29, 2016Cash $Answer Total liabilities $AnswerAnswerCash, beginning yearNoncash assetsStockholders' equityNet income Answer AnswerCash, beginning yearNoncash assetsStockholders' equityNet income AnswerTotal assets $Answer Total liabilities and equity $AnswerGeneral Mills, Inc.Statement of Cash Flows ($ millions)For Year Ended May 29, 2016Cash from operating activities $AnswerAnswerNoncash assetsNet incomeCash, beginning yearCash from investing activities AnswerCash from financing activities AnswerNet change in cash AnswerAnswerNoncash assetsNet incomeCash, beginning yearCash from investing activities AnswerCash, ending year $Answer(b) Does the negative amount for cash from financing activities concern us? Explain.A negative amount for cash from financing activities implies that the company is unable to pay its debts as they come due and should be interpreted negatively.A negative amount for cash from financing activities is the result of additional borrowings. Because the additional funds are invested in earnings-generating assets, this should be viewed positively.A negative amount for cash from financing activities implies that the market value of the company's long-term debt has declined and this change should be viewed negatively.A negative amount for cash from financing activities reflects the reduction of long-term debt, which is a positive sign of the companys ability to retire debt obligations.(c) Using the statements prepared for part a. compute the following ratios (for this part only, use the year-end balance instead of the average for assets and stockholders' equity):Round all answers to two decimal places (example for percentage answers: 0.12345 = 12.35%).(i) Profit margin(ii) Asset turnover(iii) Return on assets(iv) Return on equity which function in plant cells is comparable to an animal eating food? Evaluate 10% of 5000 Answer in your PE notebookI have learned thatI have realized thatI will apply Divide. (ASAP PLEASE)[tex]30 )869[/tex]Enter the number that belongs in the green box. Help on this too Guys Viruses:O reproduce by mitosiscannot replicate on their ownare usually found in the soilall of the above when did gilberto talk to his dad? Express in roster form. Set of B is the set of all elements x such that x is an element of natural numbers and x is a multiple of 8 n3=8/125 for n n= ??? Two people are pulling straight down on ropes attached to a wheel. The wheel has a radius of 2.42 m. One person pulls in a clockwise direction with a force of 43.2 N at the end of the wheel, while the other pulls in a counterclockwise direction with a force of 67.8 N only .522 m from the center of the wheel. What is the net torque on the wheel? Pls help!!!! This is the only thing I need to do and Im giving so much points for it not that much but Id just appreciate it if u did this thank you so much and pls take ur time!!! 58yFind the exact value of y.y = draw the graph of the equation 3x-4y=12 from the graph find the value of y when x= 8 Solve the inequality 0>_3x-2x Which of the following are necessary for production to take place?A. Advertising to create demandB. The input of land labor and capitalMarket research to determine the level of demandD. The creation of shipping networks to distribute goods,MUM Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart please help i have no clue what im doing PLS I WILL GIVE BRAINLIEST HELP PLS BY 915pt please thanks