What is the remainder when the polynomial 4x2+10x−4 is divided by 2x−1?



Enter your answer in the box.

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Please express your 4x2+10x−4 as 4x^2+10x−4.  The " ^ " symbol denotes exponentiation.

Let's use synthetic division to carry out this division.  For this purpose the coefficients of the polynomial 4x^2+10x−4 are 4, 10 and -4.  If we are to divide this poly by 2x - 1 in long division, the equivalent divisor for use in synthetic div. is 1/2.

        -----------------

1/2   /   4    10    -4

                   2     6

       ---------------------

          4       12     2    The remainder turns out to be 2.

Answer 2

Answer:

The remainder is 2

Step-by-step explanation:

( 4x2 + 10x - 4 ) = ( 2x - 1) ( 2x + 6 ) + 2

So when we multiply the divisor with the quotient and then add the remainder we get the dividend. This is show below :

What Is The Remainder When The Polynomial 4x2+10x4 Is Divided By 2x1?Enter Your Answer In The Box.

Related Questions

julie made $22 $55 $38 and $25 babysitting how much did she make babysitting

Answers

she made $140 dollars babysitting



                                                     hope it helps

All we have to do to find the total amount of money she made babysitting, is add up $22, $55, $38 and $25. This will give us the total

$22 + $55 + $38 + $25 = $140

Therefore she made a total of $140 babysitting

Hope this helps you

-AaronWiseIsBae

The table shows the current grades in one of the math classes and one of the science classes at a local high school. Find P(grade of B | science class).

Answers

The probability of obtaining a grade of 'B' in the given science class, using the concept of conditional probability, is 0.320.

To find the probability of getting a grade of 'B' given that it's a science class, also known as conditional probability, we can use the following formula:

P(grade of B | science class) = (number of students with a 'B' in science) / (total number of students in the science class).

When we apply the given numbers from the tables:

(Number of students with B in science class) = 8

(Total number of Students in the science class) = (A=5) + (B=8) + (C=10) + (D=1) + (F=1) = 25

Substituting the obtained numbers in our formula, we find:

P(grade of B | science class) = 8 / 25 = 0.320

So, the probability of getting a grade of 'B' given that it's a science class is 0.320. Therefore, the answer is O 0.320.

Learn more about Conditional Probability here:

https://brainly.com/question/32171649

#SPJ6

The probable question may be:

The table shows the current grades in one of the math classes and one of the science classes at a local high school. Find P(grade of B | science class).

Math: A=7, B=4, C=13, D=2,  F=0.

Science: A=5, B=8, C=10, D=1,  F=1.

O 0.154

O 0.235

O 0.667

O 0.320

y=8-2x when x=8 the value of y

Answers

Answer:

-8

Step-by-step explanation:

Given that x and y are two variables.  they are related by the function

y =8-2x

Since x and y are related, given one value we can find the other using this equation.

In our question, given that x =8

Substitute x value in the equation

y = 8-2x

y =8-2(8) = -8

Hence answer is -8:


Verify:  We verify by putting -8 for y and check whether x =8

-8=8-2x

Or 2x = 16

x =8

Verified

I believe your answer to this question is

8

Select the correct answer from the drop-down menu. The solution set for -2x2 + 12x = 0 is .?

{0, 12}
{0, -12}
{0, 6}
{0, -6}

Answers

Answer:

Fourth is correct option, {0, -6}.

Solution:

Equation:

-2x2 + 12x = 0

= x(-2x + 12) = 0

= x= 0                                       ,     -2x + 12 = 0

                                                           -2x =-12

                                                               x = -12/-2

                                                                x = -6

                                          Solution set = {0, -6}

so There are 17 girls and 119 boys on a class field trip to the museum. The students need to be broken up into the largest possible groups so that each group contains the same number of students. Each group must be all girls or all boys. How many students should be in each group?

Answers

1 student in each group with 126 groups in total

How to find 16 Times 60

Answers

16*60 is 960 is ur answer

My calculator says:

16 x 60 = 960

12-pack of Skwunch apple juice cost $3.00 after a 40% discount. which equation would allow you to find the original price of the 12-pack?

Answers

$3.00 is with a 40% discount

so 3 = 0.6x  (3 is 1.00 - 0.40 = 0.60 of unknown original price x)

so 3/0.6 = x to get that price which is $5

Answer:

Step-by-step explanation:

$3.00 is with a 40% discount

so 3 = 0.6x  (3 is 1.00 - 0.40 = 0.60 of unknown original price x)

so 3/0.6 = x to get that price which is $5

Hope it helps!

Write an equation for the relationship between time and distance for each horse

Answers

An equation for the relationship between time and distance for each horse include the following;

horse A; y = 1/4(x).

horse B; y = 5/2(x).

What is a proportional relationship?

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

y represents the y-variable or distance​.x represents the x-variable or time.k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) for each horse by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k of A = 1/4 = 8/2

Constant of proportionality, k of B = 5/2 = 10/4.

Therefore, the required linear equation for horse A is given by;

y = kx

y = 1/4(x)

Also, the required linear equation for horse A is given by;

y = kx

y = 5/2(x)

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ3

who is good with algebra 1?

Answers

What's the question? I'm able and willing to help.

ya ah oh what is up fam





yeet lol





yeet lol

Ming weighed a bag of soil for a science experiment. The weight was 2.003 kg. She then removed 0.520 kg of soil from the bag. How many kilograms of soil remained in the bag?

Answers

Just subtract 2.003 and 0.520 which gives you 1.483 so there is 1.483 kilogram of soil remaining hope this helps!

Answer:

amount remaining = 1.483  kg

Step-by-step explanation:

According to the question Ming weighed the bag of soil for a science experiment. He discovered the weight was 2.003 kg . She then removed 0.520 kg of soil from the bag she weighed initially.

The amount in weight(kg) of soil that is remaining in the bag will be the initial weight minus the amount of weight she removed .

amount remaining = initial weight - amount removed

initial weight = 2.003 kg

amount removed = 0.520 kg

amount remaining = 2.003 - 0.520

amount remaining = 1.483  kg

the number y of new vocabulary words that you learn after x weeks is represented by the equation y=15 number 17 please help A-C.

Answers

ANSWER

QUESTION 17a

We were given the relation, [tex]y=15x[/tex], where y represents the number of new vocabularies learned, and x represents the number of weeks

Draw a horizontal line for number of weeks and a vertical line for number of vocabulary words using a scale of 5 units on both axes.

To graph this equation we need at least three points,


When

[tex]x=0[/tex], [tex]y=15(0)[/tex], [tex]\Rightarrow y=0[/tex]

So we plot the point [tex](0,0)[/tex]


When

[tex]x=1[/tex], [tex]y=15(1)[/tex], [tex]\Rightarrow y=15[/tex]


So we plot the point [tex](1,15)[/tex]


When

[tex]x=2[/tex], [tex]y=15(2)[/tex], [tex]\Rightarrow y=30[/tex]


So we plot the point [tex](2,30)[/tex]


Using a straight edge we draw a straight line through these three points.


The equation of the line is of the form [tex]y=mx[/tex], where [tex]m=15[/tex] is the slope.


This tells us that the 15 new vocabulary words are learned each week.



QUESTION 17 B

To find the number of new vocabulary words learnt after 5 weeks, we plug in [tex]x=5[/tex] in to the equation.


[tex]y=15(5)[/tex]


This gives us


[tex]y=75[/tex]


Therefore after 5 weeks, you learn 75 new vocabulary words.


QUESTION 17 C

We  find the number of vocabulary words learned after 4 weeks and subtract it from the number of vocabulary words learned after 6 weeks'


To find the number of new vocabulary words learnt after 4 weeks, we plug in [tex]x=4[/tex] in to the equation.


[tex]y=15(4)[/tex]


This gives us


[tex]y=60[/tex]


Therefore after 4 weeks, you learn 60 new vocabulary words.


To find the number of new vocabulary words learnt after 6 weeks, we plug in [tex]x=6[/tex] in to the equation.


[tex]y=15(6)[/tex]


This gives us


[tex]y=90[/tex]


Therefore after 6 weeks, you learn 90 new vocabulary words.


We now subtract to get

[tex]90-60=30[/tex]



Therefore you learn 30 more vocabulary words after 6 wees than after 4 weeks.



Final answer:

The given equation y=15x + 17 represents the number of new vocabulary words you learn every week. Here, you learn 15 new words each week. You already know 17 words at the start (when x=0).

Explanation:

The question is asking for the interpretation of the equation y=15x + 17, which represents the number of new vocabulary words, y, that you learn after x weeks. Here, 15 is the coefficient of x, which means that you learn 15 new words per week. The number 17 is the constant term, implying that even without any weeks passing (when x=0), you already know 17 words. Thus, after one week, you would know 15*1 + 17 = 32 words, after two weeks, 15*2 + 17 = 47 words, and so on.

Learn more about Linear Equations here:

https://brainly.com/question/32634451

#SPJ3

If a strip is 10 times as big as the unit and the mat is 100 times as big as the strip, how many times is the mat bigger as the unit?

Answers

A strip is x10 of the unit

A mat is x100 of the strip.

Multiply 10 with 100

100 x 10 = 1000

The mat is x1000 of the unit.

hope this helps

Final answer:

Given that the strip is 10 times as big as the unit and the mat is 100 times as big as the strip, the mat is 1000 times bigger than the unit. This illustrates the concept of multiplication with powers of ten in real measurements.

Explanation:

The question asks how many times the mat is bigger than the unit, given that the strip is 10 times as big as the unit and the mat is 100 times as big as the strip.

This maths problem involves the multiplication of sizes. Here's the step-by-step solution:

Each strip is 10 times as big as the unit, so if we assign U as the unit, the strip would be 10U. The mat is 100 times as big as the strip, which has been defined as 10U, so the mat would be 100 * 10U = 1000U.

Therefore, the mat is 1000 times bigger than the unit. This exhibits how we deal with real measurements and the use of powers of ten in multiplication.

Learn more about Multiplication of Sizes here:

https://brainly.com/question/34754820

#SPJ12

Need some help on this

Answers

The easiest way to do this is to choose one point from image A. (I am going to choose (-5, -2).  Now, where did that point move to in image A'? (1, 7)

How did the coordinates change?

The x-coordinator changed from -5 to 1 so it moved 6 units to the right.

The y-coordinates changed from -2 to 7 so it moved 9 units up.

When doing this with a graph, you can just count the units.  I only provided the coordinates to help you follow my explanation.

Answer: B

Point B is at (4,-16).Where is B prime after a dilation with a scale factor of 3/4

Answers

(4,-16) factor 3/4
3/4 ×4=3 , -16×3/4= -12
B' (3,-12)
Final answer:

After applying the dilation with a scale factor of 3/4, point B at (4,-16) will transform to B prime (B') at (3,-12).

Explanation:

The point B is originally at (4,-16). In a dilation, each coordinate of the initial point is multiplied by the scale factor to obtain the coordinates of the transformed point. Here, the scale factor is 3/4. To find the coordinates of the point B prime (B') after the dilation, we multiply each coordinate of point B by 3/4:

X-coordinate of B' = 4 * (3/4) = 3

Y-coordinate of B' = -16 * (3/4) = -12

Therefore, the coordinates of B prime (B') after the dilation with a scale factor of 3/4 are (3, -12).

Learn more about Dilation here:

https://brainly.com/question/29811168

#SPJ11

How many solutions are there to the equation below |x|=77?

Answers

[tex]Solution, \left|x\right|=77\quad :\quad x=-77\quad \mathrm{or}\quad \:x=77[/tex]

Steps:

[tex]\left|x\right|=77[/tex]

[tex]|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a, |f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a[/tex]

The correct answer is C. 2

Hope this helps!!!

<3 -austint1414

Final answer:

The equation |x| = 77 has two solutions: x = 77 and x = -77. This is because the absolute value of a number reflects its distance from zero, regardless of the direction.

Explanation:

The equation |x| = 77 has two solutions. This is because the absolute value of a number is its distance from zero on a number line, regardless of the direction. Therefore, both 77 and -77 have an absolute value of 77.

To solve for x, you would set up two equations based on the definition of absolute value:

x = 77-x = 77, which simplifies to x = -77

So, the two solutions to the equation |x| = 77 are x = 77 and x = -77.

Learn more about Absolute Value here:

https://brainly.com/question/18731489

#SPJ2

This graph shows a portion of an even function. Use the graph to complete the table of values. x f(x) −1 −3 −5 −6

Answers

Answer:

Sorry that im late but the answer is 1,1,3,3

Step-by-step explanation:

follow the graph steps and then calculate the points

A graph is used to show the relationship between related variables.

The complete table is:

[tex]\left[\begin{array}{cc}x&f(x)\\-1&1\\-3&1\\-5&3\\-6&3\end{array}\right][/tex]

A function is said to be even is:

[tex]f(x)=f(-x)[/tex]

This means that:

[tex]f(-1)=f(1)[/tex]

[tex]f(-3)=f(3)[/tex]

[tex]f(-5)=f(5)[/tex]

[tex]f(-6)=f(6)[/tex]

So, from the graph, we have:

[tex]f(1) = 1[/tex]

[tex]f(3) = 1[/tex]

[tex]f(5) = 3[/tex]

[tex]f(6) = 3[/tex]

This implies that:

[tex]f(-1) = 1[/tex]

[tex]f(-3) = 1[/tex]

[tex]f(-5) = 3[/tex]

[tex]f(-6) = 3[/tex]

Use the above values to complete the table. So, we have the complete table to be:

[tex]\left[\begin{array}{cc}x&f(x)\\-1&1\\-3&1\\-5&3\\-6&3\end{array}\right][/tex]

Read more about even functions at:

https://brainly.com/question/12862201

Which type of question leads a person to a particular answer? A.honest, B. fair, C. friendly, D. biased

Answers

I would say D. Biased

It is D, biased, because biased means 'favorited', or, in a different case, 'hated'.

if five times a number is subtracted from 39 the result is the same as eight times the number what is the number

Answers

The value of x is equal to 3.

39 - 5x  = 8x

Add 5x to both sides.

39 = 13x

Divide both sides by 13.

x = 3

if 30% of a length of a string is 40m what is 70% of the string

Answers

L = length of string

L * .30 = 40m

L = 40 / .30

Length of the whole string = 133.3333333333 m

70% = .70 * 133.3333333333 = 93.3333333333m





3times4 dividend by6 plus 2

Answers

The correct answer is 3*4=12/6=2+2=4

Your answer is 4

3 x 4 ÷ (6 + 2) = 1.5


3 x 4 ÷ (6 + 2) =

3 x 4 ÷ 8 =

12 ÷ 8 =

1.5

Hope this helps you

-AaronWiseIsBae



Angie baked 100 cookies and 20 brownies

Answers

yes, so in total she baked 120 goodies.

Why hello there

If Angie baked 100 cookies and 20 brownies i asume you are asking eaither 4 thing

Multiplyed: 2,000

Divided: 5

Subtracted: 80

Added: 120

If my answer helped please mark me as brainliest thank you and have the BEST day ever!

You worked the dinner shift tonight and served a family their dinner. The bill was $43.89. They left $50 to pay for the meal; the remainder was your tip. How much was your tip?

Answers


[tex]50 - 43.89 = 6.11[/tex]

Answer:

Your tip was $6.11.

Step-by-step explanation:

You worked the dinner shift tonight and served a family their dinner.

The bill was $43.89. They left $50 to pay for the meal.

So, the remaining difference was your tip.

The remaining balance = [tex]50-43.89=6.11[/tex] dollars

Therefore, your tip was $6.11.

solve the following equation
-4y + 8 = 4(2y - 2) - 2(-16 + 8y)

y = -4
y = 4
y = -2
y = -6

Answers


-4y + 8 = 8y -8 + 32 - 16y
-4y +8 = -8y +24 +8y
4y + 8 -8= 24
4y = 16
Y = 4

-1/4u+3/2=-6 solve for U

Answers

[tex]-\dfrac{1}{4}u+\dfrac{3}{2}=-6\qquad|\cdot4\\\\\not4^1\cdot\left(-\dfrac{1}{\not4_1u}\right)+\not4^2\cdot\dfrac{3}{\not2_1}=4\cdot(-6)\\\\-u+2\cdot3=-24\\\\-u+6=-24\qquad|-6\\\\-u=-30\qquad|\cdot(-1)\\\\\boxed{u=30}[/tex]

what iz somution 6X - 7 = 12

Answers

Add  19  to both sides of the equation :  

                     6x = 19  

Divide both sides of the equation by 6:

                    x = 19/6 = 3.167  

One solution was found :

                  x = 19/6 = 3.167

One beaver can chew though a tree that is 15 cm thick in 20 min if it works at the same pase how long will it tack one beaver to cut down enough trees to create a stack 1.2 meters tall

Answers

It takes 8 trees to make a stack 1.2 metres tall, so if ut takes 20 minutes per tree, then it will take 8 × 20 or 160 minutes, or 2 hours 40 minutes.

what is the contrapositive of the following statement

Answers

I think it’s B I took the same test

The Contrapositive of the statement 'If two triangles are congruent, then their corresponding angles are congruent' is: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

The contrapositive of the statement 'If two triangles are congruent, then their corresponding angles are congruent' is:

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

The contrapositive of a conditional statement exchanges the hypothesis and conclusion, and negates both.

In this case, we negate the hypothesis 'two triangles are congruent' and the conclusion 'their corresponding angles are congruent.'

Learn more about Contrapositive here:

https://brainly.com/question/30431677

#SPJ2

A principal of $1,000 is invested in an account paying an annual interest rate of 6%.

Answers

A(t) = P(1+(r/n))^(nt)

A(5) = 1000(1+0.12/2)^(2*5)

A(5) = 1000(1.06)^(10)

A(5) = $1790.85

1000 x 6%= 1000 x .06

1000 x .06 =  60

The principal is getting $60 every year for their annual interest rate.

Hope I helped!

Good Luck!


A container has 17 1/2 cups of lemonade. Asher gives each of his classmates 5/6 of a cup. He gives away all of the lemonade. How many classmates does Asher give lemonade to? Explain each st e by using first,next and last method

Answers

A container has 17 and 1/2 cups of lemonade.

Asher gives each of his classmates 5/6 of a cup.

He gives away all of the lemonade.

Solution:

There are 17.5 cups of lemonade.

Each classmate receives 5/6 of a cup.

So the number of classmates = Number of cups ÷  proportion of a cup each student receives

Number of classmates = 17.5 ÷ 5/6 = 21 classmates

There are 21 classmates.

Answer:

21 classmates.

Step-by-step explanation:

We have been given that a container has 17 1/2 cups of lemonade. Asher gives each of his classmates 5/6 of a cup.

To find the number of classmates that will get lemonade, we will divide total amount of lemonade by amount given to each classmate.

[tex]\text{Classmates that will get lemonade}=17\frac{1}{2}\div\frac{5}{6}[/tex]

Convert mixed fraction into improper fraction:

[tex]17\frac{1}{2}\Rightarrow=\frac{17\times 2+1}{2}=\frac{34+1}{2}=\frac{35}{2}[/tex]

[tex]\text{Classmates that will get lemonade}=\frac{35}{2}\div\frac{5}{6}[/tex]

Convert into multiplication problem by flipping the 2nd fraction:

[tex]\text{Classmates that will get lemonade}=\frac{35}{2}\times\frac{6}{5}[/tex]

[tex]\text{Classmates that will get lemonade}=\frac{7}{1}\times\frac{3}{1}[/tex]

[tex]\text{Classmates that will get lemonade}=7\times3[/tex]

[tex]\text{Classmates that will get lemonade}=21[/tex]

Therefore, Asher gave lemonade to 21 classmates.

A triangle has an angle that measures 90°. What type of triangle could it be? (Choose all that apply)

scalene
acute
isosceles
right

Answers

Right and scalene. A right triangle has an angle that measures to be 90° and using the pythagorean theorem, we know that the triangle is scalene, meaning that all three sides have different side lengths. (:

3² + 4² = 5²

A triangle has an angle that measures 90° is a right angle triangle that is option D is correct.

What is a Triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Types of the triangle are as follows:

Equilateral triangleIsosceles triangleRight-angle triangle

1. Equilateral triangle

It is the triangle in which all three sides are equal. And each angle is 60°.

2.  Isosceles triangle

It is a triangle in which two sides are equal.

3.  Right angle triangle

It is a type of triangle in which one angle is 90° and it follows the Pythagoras theorem and we can use the trigonometry function.

More about the triangle link is given below.

https://brainly.com/question/25813512

Other Questions
I need the surface and atmospheric features of each planet. Please help! I'm dying! :( CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!The volume (in cubic meters), v, of a rectangular room is given by the expression:v = 162 - 2b^6Where b is a positive integer and each dimension is an integer greater than 1 meter. What are three unique expressions that could represent the dimensions of the room in terms of b?Write these three expressions as a product that equals the volume (e.g. "(expression 1)(expression 2)(expression 3)"). AnimeBrainly PleaseHelp!1.Tom and his best friend Edward are seeking to join a gym. Tom saw on television that Platinum Gym was having a grand opening in a few months. Tom is considering a membership at Platinum Gym. Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month. Tom's best friend Edward says he plans to join Super Fit because Super Fit only charges $10 a month but has a one-time registration fee of $150.(a)Write an expression to represent the membership cost of Platinum Gym for x months.(b)Write an expression to represent the membership cost of Super Fit for x months.(c)If Tom decides to join Platinum Gym and Edward joins Super Fit, who would pay less during the first month of membership? Who would pay less after a year of membership? Show your work.(d)Is there a membership period for which Tom and Edward would pay the same amount? If so, how long would this membership be and how much would it cost? Show your work.(e)Which gym membership is a better deal? Explain why. Portugal was the first nation to find an all-water route to the East.True False Look at the box-and-whisker plot. What is the measure of the first quartile (Q1)? A. 43.5 B. 47.5 C. 41.5 D. 50.0 PLLZ HELP! Solve each given equation and show your work. Tell whether it has on solution, and infinite number of solutions, or no solutions, and identify each equation as an identify, a contradiction, or neither.(a) 2x + 3x - 6 = 10 + 4x(b) 17 + 5x = 23 + 4x - 6 + x(c) 7x + 4 = 5x + 8 + 2x - 10 A hayride costs $8 per person, and there is a 25% discount for children, students, and senior citizens. If there are (p) people who do not qualify for the discount and (s) people who do qualify, which equation can be used to calculate the revenue (R)?AR = 8p - 6sBR = 8p + (0.75)(8)(s)CR = 8p + 0.75sDR = 8p + (0.25)(8)(s) Explain the meaning of goodness-of-fit. Describe both categories that tell how people interact with their environments. Listen to what Laura asks Eric and then choose the place where Eric is most likely to be. 30 pointssssssssssssssssssssssssssssssssssssss what were the products of africa that attracted international trade and what did Africans want in return? Which of the following could be compared to soldiers? A 6 month old sheltie puppy gets 2.5 cups of food twice per day. Select the equation that describes how many cups of food she eats in terms of days. A) y=2.5 B) y=2.5x C) y=x+5 D) y=5x WILL GIVE LOTS OF POINTS Kaori is taking a free-throw. H(d) models the basketball's height (in meters) at a horizontal distance of d meters from Kaori. What does the statement H(R)=4H mean? Find the mean of the data set.17 32 9 0 52 12 14a.8b.9.3c.0d.6.8 Im atleast one hundred and fifty words, evaluate the effectiveness of the presidential election process in the United States identify the slope and y-intercept of this equation and then show the steps to convert to standard form y=9x+7 Why salt affects blood pressure Solve for z. z4913=59 Enter your answer in the box. z= There are _____ individual food establishments in the United States. 250,000 525,000770,000 970,000(All I know is that itsNOT 250,000 I tried checking it and it was incorrect)