Consider the polynomial function
g(x) = -x^4 + 2x^3 + 5x^2 – 1.
What is the end behavior of the graph of g ?

Answers

Answer 1

Answer: as x > infinity, g(x)> - infinity and as x> - infinity, g(x)> - infinity

Step-by-step explanation:

Answer 2

 Left and right ends of the given poynomial function will fall downwards (towards negative infinity).  

End behavior of a polynomial: If a polynomial function is f(x) = ax⁴ + bx³ + cx² + dx + e

          Leading coefficient → a

          Degree of the polynomial = 4

 If the degree is even and leading coefficient is negative (-), left end and right ends fall downwards.

Given in the question,

Poynomial function → g(x) = -x⁴ + 2x³ + 5x² - 1

Degree of the polynomial = 4 (even)

Leading coefficient = -1 (negative)

    Therefore, left end of the graph will fall downwards (towards negative infinity) and the right end of the graph will fall downward (towards negative infinity).

Learn more about the end behaviour of a polynomial here,

https://brainly.com/question/12021944?referrer=searchResults

Consider The Polynomial Functiong(x) = -x^4 + 2x^3 + 5x^2 1.What Is The End Behavior Of The Graph Of

Related Questions

is there anybody taking the algebra test in texas i would really appreciate the answeres​

Answers

Answer:

which one, i just took a test, and im from texas

Step-by-step explanation:

(PLEASE HELP ME ASAP

a) The length of a rectangle is 3 m longer than its width and the area of the rectangle is 108 m². Find its length.​

Answers

Draw a rectangle. If the length is 3 inches longer than its width, we can write the width as "w" and the length as the width + 3
Area is (width)(Length) = (width)(width+3)

W
----------
| |
| |
| | L = w+3
| |
| |
-----------

A = (w+3)(w)
A = w2 + 3w = 108.
(Problem states that area is 108 sq in)

Need to solve this quadratic equation

w2 + 3y - 108 = 0

Factor:
(w - 9) (w + 12) = 0

So
w - 9 = 0. or. w + 12 = 0

Solve these and get
w = 9. or. w = -12

Only one that makes sense in real life is the poitive one.

So the dimensions are

Width = 9 inches
Length = 12 inches

The sum of interior angles of a regular polygon is 1080.Find the size of each exterior angle

Answers

Answer:

45

Step-by-step explanation:

Calculation to Find the size of each exterior angle

First step is to calculate the sum of interior angles of a polygon using this formula

Sum of interior angles of a polygon =S=(n-2)*180

Let plug in the formula

Sum of interior angles of a polygon=1080=(n-2)*180

Cross multiply

1080/180=n-2

6=n-2

Add 2 to both sides

6+2=n-2+2

n=8

Now let Find the size of each exterior angle using this formula

Size of each exterior angle=360/n

Where,

n represent numbers of sides of the polygon

Let plug in the formula

Size of each exterior angle=360/8

Size of each exterior angle=45

Therefore the size of each exterior angle will be 45

Answer:

45

Step-by-step explanation:

So if a video that is 15:34 how long is it when 2 times speed

tip: times 15 min. buy 60 then divdie all of the sec. by 2

Answers

Answer:

7:47

Step-by-step explanation:

Here are two ways of solving this:

The video will be half the time of 15:34, so you need to divide the time 15:34 by 2.

Method 1)

Use the tip. The video is 15 minutes and 34 seconds long.

Convert minutes to seconds: 15 * 60 = 900

Add 34 seconds to the 15 minutes: 900 seconds + 34 seconds = 934 seconds

The video is 934 seconds long.

Divide the total seconds by 2: 934/2 = 467

467 seconds = 420 seconds + 47 seconds = 7 minutes and 47 seconds

Answer: 7:47

Method 2)

Divide the minutes by 2 and divide the seconds by 2.

15 minutes and 34 seconds.

Divide minutes by 2: 15/2 = 7.5

Divide seconds by 2: 34/2 = 17

Now we need to add 7.5 minutes and 34 seconds.

0.5 minutes is half a minute, so it's 30 seconds.

7.5 minutes + 17 seconds =

= 7 minutes + 0.5 minute + 17 seconds

= 7 minutes + 30 seconds + 17 seconds

= 7 minutes + 47 seconds

= 7:47

Answer: 7:47

Nancy and bill collect coins. Nancy has x coins. Bill has 6 coins fewer than times the number of coins nancy has. Write and simplify an expression for the total number of coins nancy and bill have

Answers

Answer:

Total number of coins Nancy and bill have = 6x - 5

Step-by-step explanation:

Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .

Let

Number of Nancy's coins = x

Number of Bill's coins = 5x - 5

Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins

= x + (5x - 5)

= x + 5x - 5

= 6x - 5

Total number of coins Nancy and bill have = 6x - 5

Mrs. Ford spent $300 to buy some premium tea leaves. If
the price of the tea leaves had been reduced by $50 per kg,
she could have bought 0.5 kg more. Find the original price
per kg of the tea leaves.

Answers

Answer:

$70

Step-by-step explanation:

Answer:

The answer is $70

Step-by-step explanation:

A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term

Answers

Given:

[tex]f(1)=3,f(n)=2\times f(n-1)[/tex]         ...(i)

For [tex]n\geq 2[/tex].

To find:

The nth term for the given recursive formula.

Solution:

The given recursive formula is of the form of

[tex]f(n)=r\times f(n-1)[/tex]            ...(ii)

It is the recursive formula of a GP, where r is common ratio.

On comparing (i) and (ii), we get

[tex]r=2[/tex]

Now,

First term: [tex]a=f(1)=3[/tex]

Common difference: [tex]r=2[/tex]

nth term of a GP is

[tex]f(n)=ar^{n-1}[/tex]

Putting a=3 and r=2, we get

[tex]f(n)=3(2)^{n-1}[/tex]

Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].

Plz help The population of a specific species of a nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted

How many mammals were there when they were originally counted?

Enter your answer in the box​

Answers

Answer:

The y-intercept represents the number of mammals when they were originally counted.

The y-intercept.is 75.

The asymptote indicates that the number of mammals counted when the study began was 120.

The asymptote indicates that as years pass, the number of mammals will approach 0.

Step-by-step explanation:

im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.

Find the midpoint. Help pleaseeee

Answers

Answer:

0.5

Step-by-step explanation:

Co-ordinate of the mid point of the segment whose co-ordinates are -6 & 7 is =

[tex] \frac{7 + ( - 6)}{2} = \frac{1}{2} = 0.5[/tex]

Help! I get 10 points

Answers

Answer:

Expression 1= 5

Expression 2 = 1 - 16

Step-by-step explanation:

NEED HELP ASAP, WILL GIVE BRAINLIEST

Which rectangular equation represents the parametric equations x = 2sec(t) + 1 and y = 6tan(t)?​

Answers

Answer:

A.)

Step-by-step explanation:

literally guessed but was right lol

Option first is correct.

What is rectangular equation?

A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on regular cartesian plane.

According to the given question

We have

x = 2sec(t) + 1 and y = 6tan(t)

Now the above expressions can be written as :

x -1 = 2sec(t)

⇒  [tex]sec(t)\frac{x-1}{2}[/tex]

similarly,

[tex]\frac{y}{6} = tan(t)[/tex]

From trigonometric identities we know that

[tex]1 + tan^{2} \ t = sec^{2} \ t[/tex]

Substitute the value of tant and sect in the above identity

[tex]1 + (\frac{y}{6} )^{2} =(\frac{x-1}{2}) ^{2}[/tex]

⇒[tex]\frac{(x-1)^{2} }{4} -\frac{y^{2} }{36} =1[/tex], this is the required rectangular equation.

Hence, option first is correct.

Learn more about rectangular equation here:

https://brainly.com/question/12718642

#SPJ2

What is the constant variation of 2x+y=-4?

Answers

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

yeet yeet yeet

help plz ............... ​

Answers

Answer:

1.869 more miles

Step-by-step explanation:

the formula is

[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]

Answer:

1. 869 miles farther

Step-by-step explanation:

4.89-3.021= 1.869miles

Therefore, Jake went 1.869 miles farther than Tom did.

can someone help me with my math pels

Answers

Answer:

just do that quik mafs

Step-by-step explanation:

2x+4x -17y
I need the answer please

Answers

Answer:

6x-17y

Step-by-step explanation:

2x+4x-17y

6x-17y

5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?

Answers

Answer:

North Route is 20 miles, and South Route is 25 miles.

Step-by-step explanation:

Let the length of the North route be represented by x and that of the South route be represented by y.

On Monday,

8x + 10y = 410

On Tuesday,

15x + 11y = 575

So that,

8x + 10y = 410 .............. 1

15x + 11y = 575 ......... 2

Using substitution method, from equation 1;

x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3

Substitute the expression for x into equation 2,

15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575

multiply through by 8,

6150 - 150y + 88y = 4600

6150 - 62y = 4600

6150 - 4600 = 62y

1550 = 62y

divide through by 62 to have,

y = 25

Substitute the value of y in equation 3

x = [tex]\frac{410 - 10y}{8}[/tex]

  = [tex]\frac{410 - 10(25)}{8}[/tex]

  = 20

x = 20

Thus, North Route is 20 miles, and South Route is 25 miles.

ASAP SOMENW HELP ME PLS

Answers

Answer:

4.2

Step-by-step explanation:

Ok the points are (-1, 2) and (1, -2)

Put it in the formula

d = [tex]\sqrt{(1 - -1)^2 + (-2 - 2)^2} \\\sqrt{(2)^2 + (-4)^2} \\\sqrt{2 + 16} \\\sqrt{18} \\[/tex]

√18 = 4.2426 ≈ 4.2

Hope this helps ya!!

Charlie runs each lap in 6 minutes. He will run at most 42 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.

Answers

Answer:

n<=7 (less than or equal to)

Step-by-step explanation:

42/6=7, so 7 is the max number of laps he will run.

What is m∠ABC?


A. m∠ABC = 60°

B. m∠ABC = 67°

C. m∠ABC = 120°

D. m∠ABC = 127°


Brainlist for the correct answer

Answers

Answer:

The answer is D I'm not sure

Answer:

127 degrees

Step-by-step explanation:

When you add up all three angles of a triangle, the sum will always be 180 degrees. Just add up the two known angles and that will equal Angle ABC because a straight line also equals 180 degrees

Which orchard would be cheaper to visit if the class has 12 students?
Orchard A) admission costs $9 per person and 3 chaperones are required.
Orchard B) the cost is $10 per person, but only 1 chaperone is required.

Answers

Answer: orchard B

Step-by-step explanation: (orchard A) if you were to only bring the 12 students, the cost would be $108. But since it requires 3 chaperones you’d add 3 to the already 12 students making the full cost $135.

(Orchard B) if you were take only the 12 kids to the orchard it would cost you $120 but because it requires ONLY 1 chaperone, the final cost would be $130. allowing it to be $5 dollars less than what Orchard A would cost.

A snake dives towards deeper water at a rate of 18 inches per second. If the snake continues at this rate for a total of 9 seconds, which expression represents this situation?

Answers

The answer would be the snake drives in for miles

matching math game help!​

Answers

Answer:

dude your math period is way too long

Answer:

dude your math period is way too long

will give brinley crown thing! show your work and explain...
- 109 + 9x = 86 - 4x

Answers

Answer: x=15

Step-by-step explanation: it’s all in the picture hope this helps!

Answer: x= 15

Step-by-step explanation:-109+9x=86-4x

⇒13x-195=0

⇒13x=195

⇒x=

195

13

 

⇒x=15

a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars​

Answers

Answer:

68.75%

Step-by-step explanation:

First you do 54 - 32 to get 22.

Then you divide 22 by 32 to get the decimal 0.6875

Finally, you multiply 0.6875 by 100 to get 68.75% :D

Answer:

68.73% more cars were sold

Step-by-step explanation:

from 32 cars that represented 100% went to 54 so is a diference of 54-32=22

Now what percentage  of 32 is 22?

32 is 100%

22 is x%

x=(22*100)/32=2200/32=68.73%

In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 357 grams of copper. How many grams of zinc does it contain?

Answers

Answer:84

Step-by-step explanation:

This is your perfect answer.


Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu
Moles Zn = 4/15(4.72) = 1.26 moles
mass Zn = 1.26 moles x 65.38 g/mol = 82.3 g

PLA ANSWER I DONT KNOW THIS

Answers

Answer:

x=45

Step-by-step explanation:

I can give you two solutions

First solution:

In [tex]\triangle FBA[/tex] we know that

[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]

same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]

so we have that

[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]

we leave it like that because it's convenient

Now by properties of parallelograms we know that opposite sides add up to 180

[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]

so one angle is 45  and the other one is 135

Solution 2

if we look at DEBF we can say that it's a cyclic quadrilateral

because opposite sides add up to 180

in our case

[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]

so for the other to angles is also true

[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]

so that's the measure of one angle of the parallelogram

the other angle x is

[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]

There you go choose yourself

QUESTION ONE:
Solve for h.

Answers

Answer:

h = - 105

Step-by-step explanation:

Given

[tex]\frac{h}{14}[/tex] = - 7.5 ( multiply both sides by 14 to clear the fraction )

h = - 105

Answer:1.86

Step-by-step explanation:

use the table to find the slope

Answers

Points (-1,4) (3,6)
Slope: (6-4)/(3+1) = 2/4
The slope is 1/2

Randall collects postcards that his friends
send him when they travel. He can put
6 cards on one scrapbook page. How
many pages does Randall need to fit
42 postcards? (SHOW YOUR WORK/STEPS)

Answers

Answer:

7pages

Step-by-step explanation:

42÷6= 7

You are dividing how many postcards you have with how many you can fit on one page. If you divide them, you will get your answer.

Randall needs 7 pages to fit 42 postcards.

factor completely please

Answers

Answer:

it the third one

Answer:

(c-5)(3+4c)

Step-by-step explanation:

3c-15+4c^2-20c

4c^2-17c-15

Berry Method

4*(-15)=-60

What two numbers multiply by each other to get -60 but add up to -17

-20 and 3

[tex]\frac{(4c+3)(4c-20)}{4}[/tex]

(4c+3)(c-5)

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