Describe the end behavior of polynomial q(x)=3x^4+8x^3-13x^2-22x+24

Answers

Answer 1

Answer:

f(x) approaches positive infinity as x approaches negative infinity; f(x) approaches positive infinity as x approaches positive infinity

Step-by-step explanation:

We have q(x)=3x^4+8x^3-13x^2-22x+24

The leading term of this polynomial is 3x^4 (it has the highest degree) where the degree is 4 [it is even] and the leading coefficient is 3 [it is positive]

Therefore the end  behavior of the polynomial is f(x) --> ∞ as x ----> - ∞ and f(x) ----->  ∞ as x --->  ∞


Related Questions

On average, carwash location 1 washed 145 cars daily, carwash location 2 washed 211 cars daily, and car wash location 3 washed 184 cars daily. Approximately how many cars were washed over a 4-day period?

Answers

Answer:

In 4 days approx. 1527 cars were washed over a 4-day period.

Step-by-step explanation:

To find out how many cars were washed in these 3 washes over 4 days as long as they stay at the same constant number, simply multiply the number of cars each wash washes a day by 4 then add it all together. See below:

145 x 4 = 580

211 x 4 = 211

184 x 4 = 736

580 + 211 + 736 = 1527

So, in 4 days approx. 1527 cars were washed over a 4-day period.

Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest!

15x=75
help me plsssssssssssss

Answers

5 75 divided by 15 hope this helps for next time

The world record for the men’s 10000 meters was 26 minutes 17.53 seconds held by kenenisa bekele of Ethiopia. What was his average speed throughout the race?

Answers

Answer:

6.33 m/s

Step-by-step explanation:

Given that,

The world record for the men’s 10000 meters was 26 minutes 17.53 seconds.

Distance = 10000 m

Time, t = 26 minutes 17.53 seconds = 1577.53 s

We need to find the average speed throughout the race. It is equal to total distance divided by total time taken.

[tex]v=\dfrac{10000\ m}{1577.53\ s}\\\\=6.33\ m/s[/tex]

So, the average speed is 6.33 m/s.

PLLLLLLSSSSSS Help Will Mark Brainlest but must explain what you did in 20 minutes

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time.

The price f(x), in dollars, of product A after x years is represented by the function below:

f(x) = 72(1.25)x

Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)

Part B: The table below shows the price f(t), in dollars, of product B after t years:


t (number of years) 1 2 3 4
f(t) (price in dollars) 65 84.5 109.85 142.81


Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

Answers

Answer:

A) The price of product A is increasing by 3% per year.

(B) The product A recorded a greater percentage change in price over the previous year.

Step-by-step explanation:

(A)

The function representing the price, in dollars, of product A after x years is:

FA(x)=0.69*(1.03)x

The function  FA(x)can be written as:

FA(x)=0.69*1+(0.03)x

The function FA(x) is similar to the exponential growth function, y=a(1+r)x .

Here r is the growth rate.

Thus, it can be said that the price of product A is increasing by 3% per year.

(B)

Consider the data of product B for the year 3 and 4.

The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.

Compute the percent price change from year 3 to 4 as follows:

10406.04-10303.01/10303.01*100

which is 0.999%

~1%

The price of product B is increasing by 1% per year.

Thus, the product A recorded a greater percentage change in price over the previous year.

What is the sum of 650÷1.6​

Answers

650/1.6 is equal to 406.25

Your brother is 1/3 your age your sister is 4 years older than your brother your sister is 9 years old write and solve an equation to find your age a

Please give equation and age :)

Answers

you would be 15
9-4=5
5x3=15

How large must a group of people be in order to guarentee that there are at least two people in the group whose birthdays fall in the same month

Answers

Answer:

13

Step-by-step explanation:

This problem is an example of pigeonhole principle which states that If n+ 1 objects are placed into n boxes, then some box contains at least 2 objects.

Here no. of months in a year are boxes n = 12.

Therefore number of objects( people) = n+1= 13.

Then,at least two people  in the group whose birthdays fall in the same month.

Peter bought 8 lemons for $6. Each lemon was the same price.
What was the cost for1 lemon?

Answers

Answer:

Given - 8 lemons is of $6

To find - Price of 1 lemon

Solution -

8 lemons = $ 6

1 lemon = ?

1 * 6 / 8

6/8

3/4

0.75 $

-1/2 (30x + 16) Help Please!
A. -27x - 7
B. -15x - 8
C. -18x - 9

Answers

Answer:

A  -(27x + 7)

B -(15x + 8 )

C -9(2x + 1 )

Step-by-step explanation:

-1/2 (30x + 16) = -15x-8

the equations y= 3/5x + 2 and y= 1/3x + 2 represent the flight paths of two diffrent airplanes mapped out on the coordinate plane . Graph the point at which they will fly over each other.

Answers

Answer:

There is no answer for this question.

Step-by-step explanation:

Since 3/5x+2 not equal to 1/3x+2, so, no answer

Please answer this correctly without making mistakes

Answers

Answer: $200 off is the better option.

Step-by-step explanation: 200 is greater than half of 399.80.

Answer:

The purple coupon

Step-by-step explanation:

so its pretty straightforward

the 50% off of 399.80 is about 200 dollars becuase you can use basic estimation and we know half of 400 is 200 so about 200 dollars and a little less becuase of that 20 cents

The $200 off on a purchase $350 or more is better becuase since its Exactly $200 dollars off so Nancy would’ve saved more since $200 is greater than half of 399,80 which is 199.90.

Two coins, A and B, each have a side for heads and a side for tails. When coin A is tossed, the probability it will land tails-side up is 0.5. When coin B is tossed, the probability it will land tails-side up is 0.8. Both coins will be tossed 20 times. Let A represent the proportion of times coin A lands tails-side up, and let PB represent the proportion of times coin B lands tails-side up. Is the number of fosses for each coin enough for the sampling distribution of the difference in sample proportions PA-PB to be approximately normal?

a. Yes, 20 tosses for each coin is enough.
b. No, 20 tosses for coin A is enough, but 20 tosses for coin B is not enough.
c. No, 20 tosses for coin A is not enough, but 20 tosses for coin B is enough.
d. No, 20 tosses is not enough for either coin.
e. There is not enough information given to determine it 20 tosses is enough.

Answers

Answer:

Is the number of tosses for each coin enough for the sampling distribution of the difference in sample proportions PA-PB to be approximately normal?

b. No, 20 tosses for coin A is enough, but 20 tosses for coin B is not enough.

Step-by-step explanation:

a) Data and Calculations:

The probability of coin A landing tails-side up (PA) = 0.5

Therefore, the probability of coin A landing heads-side up = 0.5 (1 - 0.5)

This is why 20 tosses for coin A is enough, since the sample proportions PA is approximately normal, symmetric, and equally distributed.  There will be equal amounts of 10 tosses (0.5 *20) for either heads-side up or tails-side up.

For coin B, the probability of landing tails-side up (PB) = 0.8

Therefore, the probability of coin B landing heads-side up = 0.2 (1 - 0-.8)

This is why 20 tosses for coin B is not enough, since the sample proportions PB is not approximately normal, symmetric, and equally distributed.  There will be 16 tosses landing tails-side up (0.8*20) and only 4 tosses landing heads-side up (0.2*20).

100 points HELP PLEASE!!!

Answers

ok what do u need help with

It doesn't show?????

Which ordered pair is a solution of this
equation?
-6x + y = 35
Click on the correct answer.
(-7,-1)
(-1,-7)
(-1,-6)
(-6,-1)

Answers

I think it’s (-1,-6)


Solve using the quadratic formula: 2n^2= 6n - 2

Answers

Answer:

[tex]n_1=(3 + 1\sqrt{5} )/2\\\\n_2=(3 - 1\sqrt{5} )/2[/tex]

Step-by-step explanation:

[tex]2n^2= 6n - 2\\\\2n^2-6n+2=0\\\\a=2\\\\b=-6\\\\c=2[/tex]

[tex]n=(-b \pm \sqrt{b^2-4ac} )/2a\\\\n=(-(-6) \pm \sqrt{(-6)^2-4(2)(2)} )/2(2)\\\\n=(6 \pm \sqrt{36-16} )/4\\\\n=(6 \pm \sqrt{20} )/4\\\\n=(6 \pm 2\sqrt{5} )/4\\\\n=(3 \pm 1\sqrt{5} )/2\\\\n_1=(3 + 1\sqrt{5} )/2\\\\n_2=(3 - 1\sqrt{5} )/2[/tex]

Solve for y in the following equation.

Answers

Answer:

[tex] y = \frac{z^2 - x}{2} [/tex]

Step-by-step explanation:

Given:

[tex] \sqrt{x + 2y} = z [/tex]

Required:

Solve for y (make y the subject of the formula)

SOLUTION:

[tex] \sqrt{x + 2y} = z [/tex]

Square both sides

[tex] (\sqrt{x + 2y})^2 = z^2 [/tex]

[tex] x + 2y = z^2 [/tex]

Subtract both sides by x

[tex] 2y = z^2 - x [/tex]

Divide both sides by 2

[tex] y = \frac{z^2 - x}{2} [/tex]

(1 - cos ß)(1 + cos ß) =1/cosec^2(ß)

Answers

Step-by-step explanation:

L.H.S=(1-cosB)(1+cosB)

=(1-cos^2B). {using (a+b) (a-b)=(a^2-b^2)in second step}

=sin^2B

=1/cosec^2B

Therefore,L.H.S=R.H.S proved

HELLPP PLEASE OMGG I WILL GIVE YOU ALL MY POINTSS​

Answers

Answer:

You had $30

Step-by-step explanation:

The answer is 30 because he said that he had 10 dollars and 20 which means he had 30 dollars the other money was given to him.

P.S Can I have brainliest? (I don't deserve brainliest the other guy got it first.)

Answer:

You had $10 in the begging but got/found more.

Step-by-step explanation:

Roxie is buying toys. 2 balls and 4 dolls cost $8.20. 3 balls and 1 doll cost $6.50. Write a system of equations to model this situation.

Answers

x+z=thanks for points

Linear functions can always be expressed by the form f(x) = mx + b.
Select one:

True
False

Answers

It is true it is true it is true

An insurance company sells one-fourth as many preferred policies as standard policies and one-fourth as many ultra-preferred policies as preferred policies. All policies are classified as standard, preferred, or ultra-preferred. Calculate the probability that a randomly selected policy is ultra-preferred.

Answers

Answer:

4.7619%

Step-by-step explanation:

Let's suppose the insurance company sells 16 standard policies.

For every 16 standard policies sold, the company sells 1/4 x 16, or 4, preferred policies.

For every 4 preferred policies sold, the company sells 1/4 x 4, or 1, ultra-preferred policy.

Therefore, for every ultra-preferred policy sold, the company sells:

16+4+1=21 total policies

So the probability of any 1 random policy selected being ultra-preferred is 1/21, or 4.7619% ....................

Sue baked 5 pies and cut each one into sixth. how much money would she make if she sold each slice for $0.75 ​

Answers

Answer:

$22.50

Step-by-step explanation:

5 x 6 = 30 slices

30 x 0.75 = $22.5

Answer:

I think 22.5 dollars for the total

A package of 5 pairs of insulated gloves costs ​$42.95. What is the unit price of the pairs of gloves ​?

Answers

Answer:

$8.59

Step-by-step explanation:

5:$42.95

5 divided by 5=1

$42.95 divided by 5=$8.59

$8.59 per glove

Slope= -1 and passes through (8,5) write in y=mx+b form

Answers

y = -1x + b
Plug in the point
5 = -1(8) + b
5 = -8 + b, b = 13
Solution: y = -1x + 13

4. What is the value of the expression |-31|+|-9|?
F. -40
G. -22
H. 29
I. 40
some on help me again plsss

Answers

Answer:

40

Step-by-step explanation:

because if its between the lines and its negitive and you change it to positive then it well be 31 +9

six clowns perform three acts in a circus. the clowns appear two at a time. Jack, Marty, and Orville are paired with Kelly, Leslie and Nancy in some order. Kelly and her partner appear after jack and his partner. Orivlle also comes on before Kelly, and Leslie appears before Nancy. Jack and Leslie are partners. Witch pair peforms second?

Answers

Answer:

The pair that performs second are Orville and Nancy.

Step-by-step explanation:

Since Jack and Leslie are partners and that they appear before Kelly, it is safe to assume that this pair may come first beforehand in which Orville also comes on before Kelly.  Nancy also appears before Leslie and since each pair has a female and a male, it is safe to assume that Orville and Nancy perform second while Jack and Leslie perform first and Kelly and Marty perform last.

What is 100 x 3567 will be given brainliest to the first one!!!!!!!!!!

Answers

Answer:

356700

Step-by-step explanation:

By calculation using calculator

Plz help me
Answer this plz:

Answers

Answer:

sss

Step-by-step explanation:

sss , have a great day!!!!

Select each equation that the number 103 makes true.
A. 6.01 x __ = 601
B. 0.305 x __ = 305
C. 0.54 x __ = 540
D. 0.097 x __ = 970
E. 0.97 x __ = 97

Answers

E I think sushi dichos ofi

Answer:

its would be a

Step-by-step explanation:

A teacher selects a student at random from his class of 20 students every week for 20 consecutive weeks. There are 8 girls and 12 boys in the class. What is the probability that there are exactly 12 weeks in which a girl is selected

Answers

Answer:

The value is  [tex]P(X = 12) =  0.0356 [/tex]

Step-by-step explanation:

From the question we are told that

   The number of boys in the class is  [tex]b = 12[/tex]

   The number of girls in the class is  [tex]g = 8[/tex]

   The total number of students is  is  n  =  20

    The number of weeks is  N  = 20

The probability of selecting a girl is mathematically represented as

     [tex]p = \frac{8}{20}[/tex]

=> [tex]p = 0.4[/tex]

The probability of not  selecting a girl is mathematically represented as  

     [tex]q = 1- \frac{8}{20}[/tex]

=> [tex]q =0.6[/tex]

Generally the selection of students from the class  follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{N}C_x *  p^x *  (q)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability that there are exactly 12 weeks in which a girl is selected is mathematically represented as

      [tex]P(X = 12) =  ^{20}C_{12} *  0.4^{12} *  (0.6)^{20-12}[/tex]

      [tex]P(X = 12) =  125970 *  [1.678*10^{-5}]*  0.016796 [/tex]

=>   [tex]P(X = 12) =  0.0356 [/tex]

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