Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f. k = -1; f(x) = 4x^3 - 2x^2 + 2x + 4; Lower bound? yes/no?

Answers

Answer 1

Answer:

Yes,  k is lower bound for the real zeros of the function.

Step-by-step explanation:

Lower Bound Theorem:

If you divide a polynomial function f(x) by (x - k), where k < 0, using synthetic division and this yields alternating signs, then k is a lower bound to the real roots of the equation f(x) = 0.

Given;

4x³ - 2x² + 2x + 4

k = -1

synthetic division;

-1 ]    4       -2        2        4

        ↓         -4        6       -8

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

        4         -6       8          -4  

(the result has alternating signs, hence k is lower bound)

Thus, k is lower bound for the real zeros of the function.


Related Questions

Determine the value of the variables a, b, and c when simplifying and evaluating the expression. 3^8/3^4 = a^b = c

Answers

Answer:

3, 4, 81

Step-by-step explanation:

plz thank

The value of a is 3, value of b is 4 and value of c is 81.

To understand more, check below explanation.

Exponential identity:

The exponential identity is,

                       [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]

We have to solve,  [tex]\frac{3^{8} }{3^{4} }[/tex]

              [tex]\frac{3^{8} }{3^{4} } =3^{8-4} \\\\\frac{3^{8} }{3^{4} } =3^{4} \\\\\frac{3^{8} }{3^{4} } =3*3*3*3=81[/tex]

Hence, the value of a is 3, value of b is 4 and value of c is 81.

Learn more about the exponential expression here:

https://brainly.com/question/8844911

what is 222 times 5

no explanation please

Answers

Answer:

1110

Step-by-step explanation:

Hey there!

222 multiplied by 5 is 1110.

You can also use a calculator to find that out haha!

Have a wonderful day!

7(+5)=21
can you please help with math problem

Answers

What do u have to find?

PLEASE HELP WILL MARK BRAINLIEST

Find the area of the right triangle.

Answers

Answer:

Step-by-step explanation:

This right triangle is on a grid.

The area is the height * base/2

The base is on a line segment parallel to the x axis which is 6 squares.

The height is on a line segment parallel to the y axis which is 2 squares

The area is the height * base /2

Area = 6 * 2 /2 = 12/2 = 6 square units.

Please answer !!!!!!!! Will mark brainliest correct answer !!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

I had that same answer. I did it with my teacher and he said it was b

What’s the area of this triangle??

Answers

Answer:

6

Step-by-step explanation:

In a right triangle the legs are base and height

area = (1/2) base × height = (1/2) 3 (4) = 6

Answer: 6  square units

Need Answer ASAP will give branliest to the first right answer

The two-way table shows the number of students in a school who have rabbits and/or dogs as pets.



Have Rabbits

Do Not Have Rabbits

Total

Have Dogs

22

18

40

Do Not Have Dogs

23

27

50

Total

45

45

90



How many more students have rabbits than dogs?


1

4

5

10

Answers

10 more students have rabbits than dogs
10 more students have rabbits than dogs

Helpp pLZZZZ
Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?

Answers

Answer:

1hr 37min 18 sec

Step-by-step explanation:

Jack can mow the baseball grounds in 6 hours

Jack rate = 1/6 job/hr

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

Mike can mow the same grounds in 5 hours

Mike rate = 1/5 job/hr

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

Chris can mow the grounds in 4 hours.

Chris rate = 1/4 job/hr

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

Together rate = 1/x job/hr

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

Equation:

rate + rate + rate = together rate

[ 1/6 + 1/5 + 1/4] = 1/x

x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1

----

x(74/120) = 1

x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec

Brainliest?????! Answer ASAP!

Answers

Answer:

12

Step-by-step explanation:

12

-560.114 a rational or irrational

Answers

I think it's Irrational

Find the slope of the line
y
=
3
4
x
− 1
.

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:The answer is negative three

Step-by-step explanation:

help me pleaseeee due in one minute

Answers

Answer:

The anwer is 1/2

[tex]P=N_Y/Total=3/6=1/2[/tex]

Hi can any one please help me to do this I have no idea about it please help me

Answers

Answer:

188.4cm³

Step-by-step explanation:

Please help! Correct answer only! What is the slope of the line in this graph?
A. 5/9
B. 5/7
C. 7/5
D. 9/7

Answers

Answer:

B. 5/7

Step-by-step explanation:

Up the y axis by 5 and over the x axis by 7

A group of 9 students has these numbers of children in their families:

3, 2, 4, 2, 1, 5, 1 ,3 ,7

Answers

_________________________________

Answers:

Median=3

Mean=3.12

Step by step explanation:

1. Arranging the data in ascending order:

=1,1,2,2,3,3,4,5,7

N(total number of items)=9

Now,

Median= (N+1/2) th item

=(9+1/2)th item

=(10/2) th item

=5 th item.

Median= 3

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

2. Given data: 3,2,4,2,1,5,1,3,7

Summation FX= 28

N(total number of items)=9

Now,

Mean= summation FX/N

= 28/9

=3.12

Mean =3.12

Hope it helps....

Good luck on your assignment

_______________________________

Step-by-step explanation:

median (need to be arranged first):

1,1,2,2,3,3,4,5,7 (9 numbers)

median=9+1/2

=5 (5th)

=3

mean=x/n

=(1+1+2+2+3+3+4+5+7)/9

=28/9

=3.111

Calculate log 10.5 , Given that log 2 = 0.30, log 3 = 0.48 and log 7 = 0.85

Answers

Answer:

Step-by-step explanation:

log 2.5=log 21/2=log (3*7)/2=log3+log7-log 2=0.48+0.85-0.3=1.03

The synthesis of a large collection of information that contains well-tested and verified hypotheses about certain aspects of the world is known as a scientific

A) fact.

B) hypothesis.

C) law or principle.

D) theory.

E) none of these.

Answers

Answer:

it's a B because it's the best answer for this quistion like they are saying IF I do this Then this should happen

Can someone please help me

Answers

Answer:

1) A.

2) C.

Step-by-step explanation:

1) 1 pint = 1/2 quarts

15 pints = 15 × 1/2 quarts

15 pints = 15/2 quarts

15 pints = 7 1/2 quarts

2) 1 quarts = 0.95 liters

4 quarts = 0.95 × 4 liters

4 quarts = 3.8 liters

Which is an exponential decay function?
f(x)=3/4(7/4)^x
fx) = 2/3(4/5)^-x
f(x) = 3/2(8/7)^-x
f(x)= 1/3(-9/2)^x

Answers

Answer:

c)3/2(8/7)^x

Step-by-step explanation:

Evaluate the functions. 

1. Because 7/4 > 1 and the exponent is positive,

  the function does not decay.

2.Because 4/5 < 1 and the exponent is negative,

   the function does not decay.

3. Because 8/7 > 1 and the exponent is negative,

   the function decays.

4. Because 9/2 > 1 and the exponent is positive,

   the function does not decay.

A composite plot the functions verifies the answer.

If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger.  That's because the base is greater than 1 and the x is negative.

please mark me brainliest :)

The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

Exponential equations

The standard form of an exponential equation is expressed as:

y = a(b)^x

where

a is the base

x is the exponent

b is the rate (determine whether the rate is growth or decay)

If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

Learn more on exponential function here:  https://brainly.com/question/2456547

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How many cookies would you expect to be rejected in a sample of 10,000 cookies?

Answers

Answer: 456

Step-by-step explanation:

idk if this is right i dont have anouf to be 100% sure but thats about right sorry if its not, i would try and put more info in next time to get a closer answer

Answer: Depending on who is tasting them, and their love for cookies iam going for something along the lines of 4750

Factor −1/9 out of −1/9x−3.

Answers

Answer:

-1/9 (x+27)

Step-by-step explanation:

Divide the whole expression by -1/9.

-1/9x becomes x

-3 becomes + 27

PLEASE HELP!! if f(x)= 2x^2-11, find f(4)

Answers

Answer: f(4) = 21

Step-by-step explanation:

2(4)^2-11

4^2 = 16

2(16)-11

Multiply 2 and 16

32 - 11

Subtract

21

Answer:

21

Step-by-step explanation:

f(x)= 2x^2-11

Let x= 4

f(4)= 2*4^2-11

    = 2 * 16 - 11

     = 32 -11

      21

Please help me it is only 1 question please help me I have no idea about this

Answers

Answer:

53

Step-by-step explanation:

Answer:

(540 - π60 cm²) or 350cm³(351.5)

Step-by-step explanation:

You'll have to subtract the volume of the rectangular prism with the cylinder.

We know that the prism's volume is V = s*s*h = 6*6*16 = 540 cm²

We also know the cylinder's volume: V = πr²h = π(4/2)²*15 = π*4*15 = π*60

Now the only step remaining is to subtract the volume of the prism with the cylinder: 540 - π*60 cm³

540 - π*60 cm³ is the full answer

350 is the approximate answer (rounded it down from 351.5 to 350cm³)

Help me ASAP Need to hand in now ​

Answers

Answer:

(2d +7y) cm

Step-by-step explanation:

length of rope= 1st part +2nd part +3rd part

1st part= 2d

2nd part= d +2y

3rd part

= 2nd part +3y -2d

= d +2y +3y -2d

= 5y -d

Thus, length of rope

= 2d +d +2y +5y -d

= (2d +7y) cm

A. A worker with 1700 hours of training is paid $40 per month.
B. A worker who works 40 hours is paid $1700.
C. There are 40 workers who are paid $1700 per month.
D. A worker with 40 hours of training is paid $1700 per month

Answers

Answer:

d.

Explanation:

Look at the title of the categories in the chart. 40 is categorized under “hours of training,” meaning 40 hours of training. 1700 is categorized under “monthly pay.” Put the information together and it means $1,700 for 40 hours that month.

Which statement is true about the graphs of the two lines y = -4/5x + 2 and y = -5/4x - 1/2?

Statements:
1. The lines are perpendicular to each other because -4/5 and -5/4 are opposite reciprocals of each other.
2. The lines are perpendicular to each other because 2 and -1/2 are opposite reciprocals of each other.
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
4. The lines are neither parallel nor perpendicular to each other because 2 and -1/2 are not opposite reciprocals of each other.

Answers

Answer:

3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.

Step-by-step explanation:

Our answer is

3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.

Because [tex]-\frac{5}{4}[/tex] and [tex]-\frac{4}{5}[/tex] are not opposite reciprocals because they share the same sign ( - ).

Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.

To determine if two lines are perpendicular, we need to compare their slopes. If the slopes are negative reciprocals of each other, the lines are perpendicular.

Let's analyze the slopes of the given lines:

Line 1: y = -4/5x + 2

The slope of Line 1 is -4/5.

Line 2: y = -5/4x - 1/2

The slope of Line 2 is -5/4.

To check if these slopes are negative reciprocals, we need to invert one of the slopes and change its sign. Let's invert the slope of Line 1:

Inverted slope of Line 1: -5/4

The inverted slope of Line 1 is not equal to the slope of Line 2 (-5/4 ≠ -5/4). Therefore, the slopes are not negative reciprocals of each other.

Hence, Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.

To know more about slopes, refer here:

https://brainly.com/question/29243356

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Can someone help me.???

Answers

Answer:

1) x =4/3 = 1  1/3

2) y = 10/3 = 3  1/3

3) y = 8

Step-by-step explanation:

y = x + 2/3

1) 2 = x+ 2/3

x = 2 - 2/3 =-6/3 -2/3

x = 4/3 = 1 1/3

2) 8/3 + 2/3 = y

y = 10/3 = 3 1/3

3) 22/3 +2/3 =y

y = 24/3 = 8

Answer:

y=z+2/3

y=2 => z=2-2/3= 4/3

z=8/3 => y= 8/3+2/3= 10/3

z=22/3 => y=22/3+2/3= 24/3= 8

Find the perimeter of the figure. If you need to use Pi in your computation, approximate its value as 3.14. Rectangle topped by a semicircle A rectangle topped by a semicircle. The rectangle has length of 6 meters and width of 5 meters. The circle has diameter 5 meters. a. 29.85 m b. 18.57 m c. 32.70 m d. 24.85 m

Answers

Answer:

l think the answer is C

32.70m

Step-by-step explanation:

we all know that perimeter is the distance round the shape.

so the first step is adding 6 +6 because the other side of the shape is also 6 then add 5 and this equals to 17.

After that we find the area of the circle

which is 3.14*5= 15,7

After getting this value we add it to 17

then we get 32.70m

Answer:C

Step-by-step explanation:

HELPP PLEASE What is the value of x in the diagram below?
48
18
O A. 4
B. 6
C. 5
O D. 3
SUBMIT

Answers

Answer:

x = 3

Step-by-step explanation:

The triangles are similar, using ratios

x            8

------ = -----------

18              48

We can use cross products to solve

48x  = 8*18

48x = 144

Divide each side by 48

48x/48 = 144/48

x =3

3x2 + 5x - 7 = 0 is a quadratic equation.
True
False

Answers

Answer:

True

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2. The given equation has 3x^2, meaning that it is quadratic.

Other Questions
The sum of 2 times a number and 7 is equal to 6 Two of the most fundamental functions for dealing with interprocess communication are read() and write(). Consider the following otherwise valid C program:int r, pipeFDs[2];char message[512];pid_t spawnpid;pipe(pipeFDs);spawnpid = fork();switch (spawnpid){case 0:close(pipeFDs[0]); // close the input file descriptorwrite(pipeFDs[1], "hi process, this is the STUFF!!", 21);break;default:close(pipeFDs[1]); // close output file descriptorr = read(pipeFDs[0], message, sizeof(message));printf("Message received from other: %s\n", message);break;}Select each of the following answers that is correct. CAN BE MULTIPLE CHOICES...(1) The read() call may block until data becomes available(2) When the read() call returns, this one call will return all of the data that was sent through the pipe, which is different behavior than if this was a socket(3) If the read() call blocks, the process will be suspended until data arrives(4) The write() call will return before all of the data has been written, if the corresponding read() call blocks mid-transfer(5) Pipes can fill, which will cause the write() call to block until the read() call is able to read data from the pipe Vanishing Games Corporation (VGC) operates a massively multiplayer online game, charging players a monthly subscription of $12. At the start of January 2015, VGCs income statement accounts had zero balances and its balance sheet account balances were as follows:Cash $ 1,590,000 Accounts Receivable 245,000 Supplies 17,800 Equipment 922,000 Land 1,250,000 Building 435,000 Accounts Payable 137,000 Unearned Revenue 140,000 Notes Payable (due 2018) 81,000 Common Stock 2,800,000 Retained Earnings 1,301,800 In addition to the above accounts, VGCs chart of accounts includes the following: Service Revenue, Salaries and Wages Expense, Advertising Expense, and Utilities Expense.1. Analyze the effect of the January transactions (shown below) on the accounting equation, and indicate the account, amount, and direction of the effect (+ for increase and for decrease) of each transaction.(Enter any decreases to account balances with a minus sign.)a. Received $65,250 cash from customers for subscriptions that had already been earned in 2014.b. Received $215,000 cash from Electronic Arts, Inc. for service revenue earned in January.c. Purchased 10 new computer servers for $34,600; paid $14,400 cash and signed a three-year note for the remainder owed.d. Paid $12,600 for an Internet advertisement run on Yahoo! in January.e. Sold 19,200 monthly subscriptions at $12 each for services provided during January. Half was collected in cash and half was sold on account.f. Received an electric and gas utility bill for $5,250 for January utility services. The bill will be paid in February.g. Paid $420,000 in wages to employees for work done in January.h. Purchased $3,300 of supplies on account.Paid $3,300 cash to the supplier in (h).Prepare journal entries for the January transactions listed in part 1, using the letter of each transaction as a reference. 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(4, 2) The term cyberwar specifically refers to conflicts between nations and their militaries. This is the main distinction between cyberwar and other types of information system attacks that are reported in the news media:__________. Explain how substitution, insertion, and deletion mutations are similar and different from one another. A hose fills a hot tub at a rate of 3.84 gallons per minute. How many hours will it take to fill a 305-gallon hot tub? Discuss the value and importance in your life of continuing your education and how it relates to your choosing The constitution declares india as union of states although it does not use the word federation, the india union is based on the principles of federalism how can this be substantiated Find the distance between k and l A) In the figure below, a cylinder is compressed by means of a wedge against an elastic constant spring = 12 /. If = 500 , determine what the minimum compression in the spring will be so that the pad does not move. Disregard the weight of the blocks and . The coefficient of friction between and the pad and between the floor and the pad is s = 0.4. Consider that the friction between the cylinder and the vertical walls is negligibleAnswer: 4.08 cm.B) Determine the lowest force required to lift the weight of 750 . The static coefficient of friction between and and between and is s= 0.25, and between and is 's = 0.5. Disregard the weight of the shims and .Answer : 1095.4 N. . 4/18 times 2/92. 1/9 times 3/63. 12/14 times 1/84.1/7 times 5/65. 17/20 times 1/61. 4 1/4 times 3 1/22. 3 5/6 times 4 1/23. 2 1/2 times 4 7/84.3 3/5 times 2 3/85. 3 1/2 times 3 3/8Whoever can solve at least 2 from each set is awesome! 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