what is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1​

Answers

Answer 1

Answer:

Equate the divisor to 0

2x-1=0

2×=1

×=1/2

Putting onto the polynomial

f(1/2) = (1/2)³-1/2)²+3(1/2)-2

=-5/8


Related Questions

Find the unknown number 3m = 0.27

Answers

Answer: 0.09

Step-by-step explanation:

Divide 0.27 by 3

M=.09

Write and solve an equation for the following.

Four more than one-half a number is three. What is the number?

Answers

Answer:

4+ [tex]\frac{1}{2}[/tex]x = 3

Step-by-step explanation:

4 + [tex]\frac{1}{2}[/tex]x = 3 (subtract 4 from both sides)

[tex]\frac{1}{2}[/tex]x = -1 (multiply both sides by 2)

x = -2

Answer:

4+ 1/2 x = 3

Step-by-step explanation:

X =-2

One number is seven more than four times another number. If the sum of the numbers is 22, find the numbers.

Answers

Answer:

the answer is actually study and you would know

Step-by-step explanation:

Answer:

3 and 19

Step-by-step explanation:

Please help!! I’ll give you brainliest!!
I can even Venmo someone like 5$ if they wanna do it

Answers

Answer:

1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges

Step-by-step explanation:

In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius

The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]

1) The radius is r = 4 which is greater than one so it Diverges.

2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.

3) The radius is 0.5 which is less than 1 so it Converges.

4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.

5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.

The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.

6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.

7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.

to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]

8) plug in given information

[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]

9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.

Hopefully the work I did was right. Have a good one!

Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5

Answers

9514 1404 393

Answer:

 2) 1/3

Step-by-step explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

  [tex]x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}[/tex]

_____

Your calculator can help you answer this:

  1/5 = 0.2

  1/3 = 0.333.... (repeating) . . . . the number you're looking for

  3/10 = 0.3

  3/5 = 0.6

what is 1000x45 how do i get the anwser

Answers

Answer:

45000

Step-by-step explanation:

put the equation like this

     1000

   x      45

And multiple form right to left or just take 45 and add 3 0's because anything multiplied by 1 is what number u multiplied it by

Answer:45000

Step-by-step explanation:

so you know that 10x45=450 just add 2 more zeros and thats ur answer may i be marked brainliest

stream hala hala by ateez bye

Answers

stream on the ground and gone by rosé bye

Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Connie plant in each flower bed?

Answers

She should plant 43 tulip bulbs in each bed.

Answer:

43

Step-by-step explanation:

The answer should be 43 because if you divide 172 by 4 it gives you 43 so that gives you the answer 172 ÷ 4 = 43.

please help me thanks​

Answers

Answer:

D

Step-by-step explanation:

Answer:

each person gets 2 1/2

Step-by-step explanation:

You divide and get 2 1/2

the answer is D

PLEASE HELP I WILL MARK YOU BRAINIEST

Answers

Answer:

x greater than or equal to 1/3

Step-by-step explanation:

Answer:

equation is unclear. Send another pic.

You have collected weekly earnings and age data from a sub-sample of 1,744 individualsusing the Current Population Survey in a given year. Given the overall mean of $434.49and a standard deviation of $294.67, construct a 99% confidence interval for averageearnings in the entire population. State the meaning of this interval in words, ratherthan just in numbers. If you constructed a 90% confidence interval instead, would itbe smaller or larger? What is the intuition?

Answers

Answer:

The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.

Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42

The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66

The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.

If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?

For a 90% confidence interval, we would have z = 1.645.

Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.

help pls, math due tonight :(

Answers

9514 1404 393

Answer:

40 ftt = 1 second

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

__

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

  h(t) = -16(t^2 -2t) +24

  h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

  h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

  f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

  (h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

the length of rectangular park is 15 m longer than that of the park is 114m find it's length and breadth​

Answers

Answer: Length: ≈20.5 Breadth: ≈5.5

Step-by-step explanation: x(x+15)=114, solving for x we get 5.547 and 20.547.

What is -4^2 equal to?

Answers

Answer:

-16

Step-by-step explanation:

Negative four to the second power is equal to -4 x -4 which is -16

Find the length of “c” to the nearest tenth using the Pythagorean Theorem.

NO BOTS

Answers

Answer:

10.6

Step-by-step explanation:

you do 7 squared + 8 squared to get 113. the square root of 113 rounded to the nearest tent is 10.6

give me brainliest

Samiya had 45 grams of cookies to share with the class how many kilograms of cookies does she have

Answers

Answer:

0.045 kg of cookies

Answer: 0.045

Step-by-step explanation:

Amanda had five and 6700 pounds of peanuts in her pantry how is this number written in expanded notation ​

Answers

Answer: 6000+700+00+0

I hope that helps you

John buys an item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price that John pays, including tax?

Answers

Answer:

$43.20

Step-by-step explanation:

20% of $50.00 is $10.00. $50 - $10 is $40. 8% of $40 is $3.20. Since this is tax, you must add it. $40+$3.20 = $43.20

Where does the graph of cosine begin?

Answers

9514 1404 393

Answer:

  wherever you want it to

Step-by-step explanation:

The cosine function is defined for all real numbers. A graph of it can exist on any interval from -∞ to +∞. Since you make the graph, and it is impossible for you to graph x = -∞, the left side of the graph (where it "begins") will be the point you decide to use to start graphing.

Andrew wrote the number 186,425 on the board. In which number is the value of the digit 4
exactly 100 times the value of the digit in the number Andrew wrote?
A 681,452
B 462,017
C 246,412
D 124,655

Answers

Answer:

C

Step-by-step explanation:

The four is in the hundreds so times one hundred it'd be in the 10,000 so it is C.

Kristi has 2 ribbons that are the same length. She cuts each ribbon into 8 equal pieces. She uses 12 of the pieces to make bracelets. What fraction of the ribbon did she use?

Answers

So she cuts them so each one has 8 since there are two there will be 16 pieces

Out of those 16 she uses 12

So the fraction would be 12/16

But wait! We need to simplify it

Half it

6/8

Half it again

3/4

There ya go!

:))))

Please help answer !:)
Will give brainlst!!
Have a nice day

Answers

Answer:

10, exponents, 10, expression

Step-by-step explanation:

Gabrielle is 11 years older than Mikhail. The sum of their ages is 107. What is Mikhail's age?

Answers

Answer:

Mikhail's age is 48

Step-by-step explanation:

Answer:

107-11=96

96÷2=48

so Mikhail is 48 years old

what are the variables 8 x + 7 - y

plzz I'll give BRAINLIEST​

Answers

Answer:

x and y

Step-by-step explanation:

Those are variables that could be any number. The integers are considered to be coefficients.

How to make a triangle and 2 trapezoids out of a triangle

Answers

Answer:

Draw two lines inside the triangle.

Step-by-step explanation:

Like in the Attachment

adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°

Answers

Answer:

i. 82°

ii. 14°

iii. 28°

iv. 47°

v. 58°

Step-by-step explanation:

The trigonometric functions are given as:

Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Thus,

i. adjacent leg / hypotenuse = 0.139 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.139

  = 82°

ii. opposite leg / adjacent leg = 0.249 = Tan θ

θ = [tex]Tan^{-1}[/tex] 0.249

  = 14°

iii. opposite leg / hypotenuse = 0.469 = Sin θ

θ  = [tex]Sin^{-1}[/tex] 0.469

   = 28°

iv. adjacent leg / hypotenuse = 0.682 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.682

   = 47°

v. opposite leg / hypotenuse 0.848 = Sin θ

θ  = [tex]Sin^{-1}[/tex]  0.848

   = 58°

Find the value of x. Round to the nearest degree.

Answers

Its not yet known. We need other numbers and letters!

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Fatoumata sets up a website where players
can buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
126 visitors purchased no costume.
228 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a decimal to the nearest hundredth.
Mk

Answers

Answer: 0.59

Step-by-step explanation:

The probability that the next person will purchase exactly one costume is 0.59.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of visitors = 126+228+34 = 388

Total number of visitors who purchased exactly one costume = 228

The probability = 228/388 = 0.587 ≈ 0.59

Thus, the probability that the next person will purchase exactly one costume is 0.59.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

(Quick plz!!)
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by this set?
[-8,1, 23. 11. 49)
A)
Irrational Numbers
B)
Integers
C
Natural Numbers
D
Rational Numbers

Answers

Answer:

the answer is d

Step-by-step explanation:

I just took the test

When graphing a system of equations with infinitely many solutions, the slopes of the two lines will be ________.

Answers

the slope of both lines will be the exact same.

hope this helps :)
Other Questions
The population pyramid shown represents a location that has been affected by human migration.A. Explain why the location of public institutions may result in the particular age structure shown in the population pyramid.B. Describe ONE demographic pull factor that would motivate a female migrant from a rural area to move to an urban area in a very distant location.C. Explain ONE reason why the female population age 80 and over is larger than the male age-80-and-over population.D. Explain ONE limitation of the population pyramid shown in illustrating the push and pull factors of migration in this location. Someone please help me. Read this passage about Louisiana's ports.What benefit provided by Louisiana's ports does thispassage address?Finally, ports provide a connection for industries withinthe state, but they are also direct contributors to thestate's economy when they can increase cargo beingshipped through Louisiana ports and this cargooriginates in another state. Louisiana ports are from thisperspective a business providing even more directspending in the Louisiana economy.O how they bring business to Louisiana from otherstatesO how they help the United States compete with othernationsO how they create more American jobs in the exportindustriesO how they boost free trade in North America based onNAFTA-"The Economic Impact of the Ports of Louisiana,"Dr. James A. Richardson (ill be giving brainiest for those who provide the correct answer and those who dont leave a link.) a parallelogram has one side that is 4 centimeters long and one side that is 6 centimeters long. what is the perimeter of the parallelogram? I need help on this plzzz Area = 79.2 ft29 ft4.2 fth What is 980x58? I am giving 10 points I am not sure if its fair You add 11/4 tablespoons of olive oil for every 3/2 tablespoons of balsamic vinegar to make 34 tablespoons of bread dip. How much olive oil and balsamic vinegar do you use?You use ___ tablespoons of olive oil and ___ tablespoons of balsamic vinegar. What is the volume of this rectangular prism?1/2cm 4 cm 3/2cm please help me with this one Gallon321OC2562810MinutesThe graph represents the gallons of water (/) per minute (x) dispensed by a shower head. Which statements are correct?A)Point (0,0) represents the unit rate,8)Point (5, 1) represents the unit rate,Point (1,5) represents the unit rate.D)7.5 gallons of water are used in 1.5 minutes, What reasons does the author provide to support the claims Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year? One boss decided to increase the salary of an employee by 5%. How much will he get if his salary was $2000? I asked some friends how old they think they will be when they get married. Here are their answers:{42, 38, 27, 53, 39, 29, 52}Put this data in order from least to greatest. Write 5-7 well-written sentences. REREAD FOR ERRORS AND FIX THEM!! If you could spend the perfect day, what would you do? Where would you be? Who would be with you? What do you see? Eat? Play? Use your senses to describe it? What do you see? Hear? Smell? Taste? Touch? Which of the following distances is a circumference? a.the distance around the face of a cube. b.the distance around a text book. c.the distance around a nickel. d.the distance around one of the hawaiian islands. can some one please help. 4789658953 round to the nearest 10th mean = mean absolute deviation = Is the equation cosine theta - sine theta =1 an identity? Explain You guy's will get 40 points if you help me!