Describe the end behavior of the graph of the function.

hx()=−3x4+4x3+10x2−8x+7
a.hx()→−∞as x→−∞and hx()→−∞as x→∞
b.hx()→−∞as x→−∞and hx()→∞as x→∞
c.hx()→∞as x→−∞and hx()→−∞as x→∞
d.hx()→∞as x→−∞and hx()→∞as x→∞

Answers

Answer 1

9514 1404 393

Answer:

  a.hx()→−∞as x→−∞and hx()→−∞as x→∞

Step-by-step explanation:

The negative leading coefficient tells you the function tends toward -∞ as x gets large. The even degree tells you it goes the same direction as x tends toward -∞.

  h(x) → -∞  for x large or small . . . . matches A


Related Questions

Tan(43)=1347/x
Can someone help please

Answers

the answer is ssmsmsmsmsmememememeememekekeke

Answer:

Step-by-step explanation:

tan(43) = 1347/x

Multiply by x to bring it to the other side.

x*tan(43) = 1347

Divide by tan(43) to get x by itself.

x = 1347/tan(43)

Use the tan and cot relationship.

x = 1347 * cot(43)

Multiply.

x ≈ 1444.5

Twelve times of a number decreased by lo is equal to 14. write this in a mathematical sentence and find the number​

Answers

Answer:

12n-10=14, n=2

Step-by-step explanation:

( Twelve times of a number decreased by 10 is equal to 14 ) This sentence can be written mathematically to be: 12n-10=14

The answer: Add 10 to both sides: 12n-10=14 > 12n-10+10=14+10 > 12n=24

Divide both sides by 12: 12n=24 > [tex]\frac{12n}{12} =\frac{24}{12}[/tex] > n=2

PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.

Answers

Answer:

Options A, C, E

hope it helps

please mark brainliest

The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?

Answers

the area of a rectangle is the product of its length and width.

Students set a goal of collecting 900 cans for the canned food drive. The number of cans they have collected so far is 82% of their goal. How many more cans do the students need to collect to reach their goal?

Answers

Answer:

162 cans

Step-by-step explanation:

100 - 82 = 18

18% of 900 =

0.18 * 900 =

162

Find cotθ if θ terminates in Quadrant III and secθ = 2

a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3

Answers

Answer:

we have

secθ = 2

[tex] \frac{1}{cos θ} [/tex]=2

Cosθ =[tex] \frac{1}{2 }[/tex]

[tex] \frac{b}{h }=\frac{1}{2 }[/tex]

b=1

h=2

p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]

again

Cot θ=[tex] \frac{b}{p }[/tex]

Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]

Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]

It lies in Quadrant III cot is positive

Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]

b. (sqrt 3)/3

How do I simplify 8 - 4(x - 7x) + 3

Answers

Answer:

11 + 24x

Step-by-step explanation:

8 - 4(x - 7x) + 3

8 - 4x + 28x + 3

11 - 4x + 28x

11 + 24x

Answer:

8-4x+28x+3 = 24x+11

Step-by-step explanation:

brainliest?

Use the following function rule to find f(1).

f(x) = 5(8)x+ 4

f(1) =

Answers

Answer:

on the pic

Step-by-step explanation:

substitute the x with 1

Answer:

f(1)=44

Step-by-step explanation:

Wherever you see x, you will replace it with 1

so, 5(8)1+4

(40)1+4

40+4

=44

What is the y-intercept of y= 2/3x+2

1.(2,3)
2.(3,2)
3.(0,2)
4.(-3,0)​

Answers

It would be 3 since the equation has y but no x

You want to invest $300 in stock QRS. How many more shares of QRS will
you own at the end of the year if you use the DCA strategy instead of
investing all of your money at the start of the year?

Answers

Answer:

3 shares

Step-by-step explanation

Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customers per minute.a. What is the mean or expected number of customers that will arrive in a five-minute period?b. Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period.c. Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur?

Answers

Answer:

a) 2

b)

0.1353 = 13.53% probability that exactly 0 customers will arrive during a five-minute period.

0.2707 = 27.07% probability that exactly 1 customer will arrive during a five-minute period.

0.2707 = 27.07% probability that exactly 2 customers will arrive during a five-minute period.

0.1805 = 18.05% probability that exactly 3 customers will arrive during a five-minute period.

c) 0.1428 = 14.28% probability that delays will occur

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

a. What is the mean or expected number of customers that will arrive in a five-minute period?

0.4 customers per minute, so for five minutes, this is [tex]\mu = 5*0.4 = 2[/tex]

b. Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period.

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

0.1353 = 13.53% probability that exactly 0 customers will arrive during a five-minute period.

[tex]P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707[/tex]

0.2707 = 27.07% probability that exactly 1 customer will arrive during a five-minute period.

[tex]P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707[/tex]

0.2707 = 27.07% probability that exactly 2 customers will arrive during a five-minute period.

[tex]P(X =3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1805[/tex]

0.1805 = 18.05% probability that exactly 3 customers will arrive during a five-minute period.

c. Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur?

This is:

[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]

In which:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1353 + 0.2707 + 0.2707 + 0.1805 = 0.8572[/tex]

[tex]P(X > 3) = 1 - P(X \leq 3) = 1 - 0.8572 = 0.1428[/tex]

0.1428 = 14.28% probability that delays will occur

Which pair of functions are inverses of each other?

Answers

Answer:

D.f(x)=2x-9and g(x)=X+9/2

Help please! I think I wrote the rectangle right but I do not get the questions!

Answers

Step-by-step explanation:

perimeter = 2×(7+5) = 2×12= 24 units

area = 7×5 = 35 sq. units

It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 72.5 pounds with a standard deviation of 16.1 pounds. Test the breeder's claim at

Answers

Answer:

z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

Step-by-step explanation:

We will test the breeder´s claim at 95% ( CI) or significance level

α = 5 %   α = 0,05    α /2 = 0,025

Sample Information:

sample size   n  = 45

sample mean   x  = 72,5 pounds

Sample standard deviation  s = 16,1

1.-Hypothesis Test:

Null Hypothesis                              H₀        x  =  70

Alternative Hypothesis                  Hₐ        x  ≠  70

Alternative hypothesis contains the information about what kind of test has  to be developed ( in this case it will be a two-tail tets)

2.-z (c) is from z-table     z(c) = 1,96

3.- z(s)  =  ( x - 70 ) / 16,1 / √45

z(s)  =  (72,5 -70 ) *√45 / 16,1

z(s)  = 2,5 * 6,71 / 16,1

z(s)  = 1,04

4.-Comparing  z(s) and z(c)

z(s)  <  z(c)

Then z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

Complete Question:

It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult male Labrador retriever is not equal to 70 pounds. A random sample of 45 male Labradors weigh an average of 72.5 pounds with a standard deviation of 16.1 pounds. Test the breeder's claim at \alpha=0.04

a)State null and alt hypothesis

b)determine t statistics

c)compute the P value

d) decision about the test

Answer:

a)Null Hypothesis            [tex]H_0:\mu=70[/tex]

  Alternative Hypothesis[tex]H_1=\mu \neq70[/tex]

b)   [tex]t=1.042[/tex]

c)  [tex]TDIST(1.042)=0.30310338[/tex]

d)We reject the alternative hypothesis

Step-by-step explanation:

From the question we are told that:

Population mean [tex]\mu=70[/tex]

Sample size [tex]n=45[/tex]

Sample mean [tex]\=x=72.5[/tex]

Standard deviation [tex]\sigma=16.1 pounds.[/tex]

Significance level [tex]\alpha=0.04[/tex]

a

Generally the Hypothesis is mathematically given by

Null Hypothesis            [tex]H_0:\mu=70[/tex]

Alternative Hypothesis[tex]H_1=\mu \neq70[/tex]

b) Generally the Equation for test statistics is mathematically given by

  [tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]

  [tex]t=\frac{72.5-70}{\frac{16.1}{\sqrt{45}}}[/tex]

  [tex]t=1.042[/tex]

c)

Generally From T distribution table P value is mathematically given by

  [tex]TDIST(1.042)=0.30310338[/tex]

d)

Therefore as p value is greater tab significance level

[tex]0.30310338>0.04[/tex]

The Test statistics does nt fall in the rejection rejoin

Therefore

We reject the alternative hypothesis

Which is the correct answer...

Answers

Answer:

Option A

Step-by-step explanation:

We have y=X-7

sub 1st value 10 then we get y=10-7=3

In the same way y=11-7=4

Y=12-7=5

Y=13-7=6

Y=14-7=7

The answer is definitely a (the numbers given at output X minus 7 would give you the answers)

Listed below are annual data for various years. The data are weights(metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha (α) =0.05 Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Select all TRUE statements for the above hypothesis test from those given below.

Lemon_Imports_(x) Crash_Fatality_Rate_(y)
230 15.8
264 15.6
359 15.5
482 15.3
531 14.9

Reqiured:
a. What are the null and alternative​ hypotheses?
b. Construct a scatterplot.
c. The linear correlation coefficient r is: ________
d. The test statistic t is :__________
e. The​ P-value is :___________

Answers

Answer:

R = - 0.9453

T = - 5.019

Pvalue = 0.212

Step-by-step explanation:

Given the data:

Lemon_Imports_(x)

230

264

359

482

531

Crash_Fatality_Rate_(y):

15.8

15.6

15.5

15.3

14.9

The Correlation Coefficient, R using a correlation Coefficient calculator is - 0.9453 ; this depicts a strong negative correlation between the dependent and independent variable.

The test statistic, T :

T = r / √(1 - r²) / (n - 2)

T = -0.9453/ √(1 - (-0.9453)²) / (5 - 2)

T = - 0.9453 / 0.1883329

T = - 5.019

The Pvalue using a Pearson Pvalue calculator ;

df = n - 1 = 5 - 2 = 3 ; r = - 0.9453

Pvalue = 0.212

A surveyor is 100 feet from a building. He finds the angle of elevation to the top of the building is 23 degrees. If the surveyor’s eyelevel is 5.3 feet above the ground, find the height of the building.

Answers

Answer:

47.7 ft

Step-by-step explanation:

tan= o/a

tan(23)= x/100

x=100/tan(23)

x= 42.4

42.4 + 5.3 = 47.7

Answer:

m∠B = 15°

and

h ≈ 31.28 ft

Step-by-step explanation:

only if it's on edge 2021. this showed up when I put in the question, so imma just assume there are others here like me.

You want to have 80000 college fund in 12 years. How much will you have to deposit now under the scenario below. Assume that you make no deposits into the account after the initial deposit.
An APR of 7.5​% compounded daily

Answers

9514 1404 393

Answer:

  $32,528.58

Step-by-step explanation:

For simplicity, we'll assume each year has 365 days.

The future value A of principal amount P at rate r compounded daily for t years is ...

  A = P(1 +r/365)^(365t))

We want P when A = 80,000, r = 0.075, and t = 12.

  P = A/(1 +r/365)^(365t)

  P = $80000/(1+0.075/365)^(365·12) ≈ $32,528.58

You will have to deposit about $32,528.58.

Which of the statements below are true? Select all that apply. A) The table shows a proportional relationship B) The table does not show a proportional relationship C) With $3.00, you could buy 10 bananas D) Each banana costs $0.30

Answers

Answer:

go to school, do your work, you are only cheating yourself, not the school, or end up homeless

Step-by-step explanation:


1. Match the polygons with their appropriate clouds. A polygon can match to more than 1 cloud

Answers

all sides are equal : square
all sides are not equal: rectangle
at least 1 right angle: square
at least one set of parallel sides: rectangle

Question #7
Correct answer is B
Explain or show steps

Answers

Refer to the diagram below. We have the following points

A = base of the streetlampB = base of the personC = tip of the person's shadowD = top of the streetlampE = head of the person

The shadow extends from point B to point C. If we let x be the the horizontal distance from the lamp to the person, then dx/dt represents the speed at which the person is walking away from the lamp. In this case, dx/dt = 4 feet per second.

Let y be the length of the shadow. We can use similar triangles and proportions to help find what y is equal to in terms of x

AD/BE = AC/BC

15/6 = (x+y)/y

15y = 6(x+y)

15y = 6x+6y

15y-6y = 6x

9y = 6x

y = 6x/9

y = 2x/3

y = (2/3)*x

The length of the shadow is 2/3 that of the distance from the person to the lamp.

Now apply the derivative to both sides to compute dy/dt, which represents how fast the shadow is changing.

y = (2/3)x

dy/dt = d/dt[ (2/3)x ]

dy/dt = (2/3)*d/dt[ x ]

dy/dt = (2/3)*dx/dt

dy/dt = (2/3)*4

dy/dt = 2.667

The rate in which the shadow is lengthening is approximately 2.667 ft per second.

HELP
Which Trig ratio should be used to find the missing side?


A.Sin

B.Cos

C.Tan

Answers

Answer:

It's Sin.

Thumbs-up (^_-)

Step-by-step explanation:

the answer is A ,since the unknown side is opposite while the known side is the hypotenuse

4 + (m -n )^4 when m =7 and n = 5 whats the value ?

Answers

Answer:

20

Step-by-step explanation:

We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.

If this has helped please mark as brainliest

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textsf{Equation:}[/tex]

[tex]\mathsf{4 + (m - n )^4}[/tex]


[tex]\large\textsf{Solving:}[/tex]

[tex]\mathsf{4 + (m - n )^4}[/tex]

[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]

[tex]\mathsf{= 4 + (2)^4}[/tex]

[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]

[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]

[tex]\mathsf{= 4 + 4\times 4}[/tex]

[tex]\mathsf{= 4 + 16}[/tex]

[tex]\mathsf{= 20}[/tex]


[tex]\large\textsf{Therefore, your answer should be:}[/tex]

[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Carlos plays college soccer, and will attempt two goals in a row.
A = the event Carlos is successful on his first attempt. P(A) = 0.60.
B = the event Carlos is successful on his second attempt. P(B) = 0.55.
The probability that he makes the second goal GIVEN that he made the first goal is
0.35
What is the probability that he makes both goals?

Answers

21%

Since Carlos needs to make both goals, we must multiply the probability that he makes goal 1 with the dependent probability that he makes goal 2 after goal 1. Since we are given these values as 0.60 and 0.35, we multiply them to find a probability of (0.6)(0.35) = 0.21

Lisa, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a
new clerk, needs 15 hours to do the same job. Working together, how long will it
take them to fill the order?

Answers

14 hours or 2 hours. Im not sure

The baseball field is 9/10 of a mile from Benson’s house. Benson runs 3/10 of a mile and walks 4/10 of a mile on his way to the field. How much farther does Benson need to go to get to the baseball field?

Answers

Answer:

2/10 I believe

Step-by-step explanation:

3/10 + 4/10= 7/10

9/10 - 7/10 = 2/10

For each of the following variables, identify the type of variable (categorical vs. numerical).
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
1) (I) Categorical , and (II) Categorical
2) (I) Categorical , and (II) Numeric
3) (I) Numeric , and (II) Numeric
4) There is no correct match.
5) (I) Numeric , and (II) Categorical

Answers

Answer:

3) (I) Numeric , and (II) Numeric

Step-by-step explanation:

Numeric variable:

The variable assume number values.

Categorical values:

The variable assumes labels. Examples are yes/no, good/bad.

(I) Fuel economy (miles per gallon) of used car

(II) Number of auto insurance claims in a month

Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).

Find the length of side x in simplest radical form with a rational denominator
60°
3
30
X

Answers

Answer: 5/2

Explanation:

According to 30-60-90 triangle rule:

The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2

A ship captain looks up at the top of a lighthouse at a 7 degree angle of elevation and calculates that he is 1221 feet from its base. How tall is
the lighthouse, rounded to two decimal places?

123.01 feet
134.78 feet
149.92 feet
148.80 feet

Answers

148.80 feet !!!!!!!!!!!

Someone help me with this pls ty :) Math. No Fake answers please!!!

Answers

Answer:

-1 , 5 for the original figure and 7, 2 for the final figure

Step-by-step explanation:

Self Explanatory

If you want explanation, comment on this answer and I will tell you

purple triangle is where it should be placed :)
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