What is the remainder when 4x^3+8x-32 is divided by x+10?

Answers

Answer 1

Answer:

The remainder is -4112.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, when we divide a polynomial P(x) by a binomial in the form of (x - a), then the remainder will be P(a).

We are dividing:

[tex](4x^3+8x-32)\text{ by } (x+10)[/tex]

We can rewrite the divisor as:

[tex]x+10=x-(-10)[/tex]

So, a = -10.

Then according to the PRT, the remainder of the operation will be:

[tex]R=P(-10)=4(-10)^3+8(-10)-32=-4112[/tex]


Related Questions

Square root of 17 Is a number between

Answers

Answer:

D

Step-by-step explanation:

[tex]\sqrt{17} = 4.123[/tex]

So we can see that 4.123 lie between 4 and 5

Therefore, option (D) is correct

In a group of 120 pupils , 80 can play drums and 25 play piano . How many pupils can play both instruments if there are 3 pupils who can play neither.

Answers

Answer:

12 pupils

Step-by-step explanation:

Number of pupils can play either instrument:

120 - 3 = 117

Number of those can play both:

117 - (80 + 25) = 12

5x+8y=535

how many is x and how many are y

Answers

There is one X and one Y
535xy

Answer:

x= -8y  / 5 +107

y = 535 - 5x / 8

Step-by-step explanation:

5x+8y=535

Subtract 8y from both sides.

5x=535−8y

Divide both sides by 5.

5x / 5 = 535 - 8y / 5

Dividing by 5 undoes the multiplication by 5.

x=  535−8y / 5

Divide 535−8y by 5.

x= -8y  / 5 +107

5x+8y=535

Subtract 5x from both sides.

8y=535−5x

Divide both sides by 8

8y / 8 = 535 - 5x / 8

Dividing by 8 undoes the multiplication by 8.

y = 535 - 5x / 8

Hope this answer helps you :)

Have a great day

Mark brainliest

3. For the following system of equations, complete a table of at least 5 points for each equation, then graph the system on the coordinate plane. Describe the solution.

y = -3x + 4

6x + 2y - 8 = 0

Answers

Answer:

I'll do it for the equation, then you can try to solve the second one. Of your not able to, just comment and I'll answer the second one

Step-by-step explanation:

y = -3x+4

When

___x__l  _y____

   0          l    4

   1           l     1

   2          l     -2

   3          l     -5

   4          l     -8


5) Michelle and Autumn are at a gift shop. They each buy magnets and postcards. Michelle
buys 4 magnets and 6 postcards and spends $24. Autumn buys 2 magnets and 1 postcard and
spends $8. Which system of equation represents this situation? {2 points}
(4x + 6y = 24
a)
2x + y = 8
(4x + 6y = 8
b)
(2x + y = 24
c)
(4x + 2x = 24
y+by = 8

Answers

Answer:it has to be A

Step-by-step explanation:

The correct answer to your question is letter A!

The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.

Answers

Given:

The length of field is n yards.

The length of a field in feet is a function f(n).

To find:

The function rule for this situation.

Solution:

We know that,

1 yard = 3 feet

Using this conversion, we get

n yard = 3n feet

The length of field is n yards. So, the length of the field is 3n feets.

The length of a field in feet is a function f(n). So,

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

Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].

Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room. Show all your work.

Answers

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

This box is packed with cubes that measure one cubic foot.

Enter the volume of the box in cubic feet. _____ cubic feet.

Answers

Answer:

The answer is 84 cubic feet.

Step-by-step explanation:

3 x 4 = 12.  12 x 6 = 72. 72 + 12 = 84

A equation for the ninth term of a arithmetic sequence who seventh term is 21 and common difference of 5

Answers

Answer:

[tex]9th=31[/tex]

Step-by-step explanation:

From the question we are told that:

Seventh term [tex]7th= 21[/tex]

Common difference [tex]d= 5[/tex]

Generally Equation for seventh term

[tex]7th=a+(7-1)d[/tex]

Therefore the  First Term is given as

[tex]a=7th-(7-1)d[/tex]

[tex]a=21-6*5\\a=-9[/tex]

Generally the equation for 9th term is mathematically given by

[tex]9th=a+8d[/tex]

[tex]9th=-9+8(5)[/tex]

[tex]9th=31[/tex]

Please help me solve 5 and 6 for my homework

Answers

Answer:

(5) The perpendicular height of the triangle is 8.48 mm.

(6) The 1184.86 cm far up the wall the ladder reach.

Step-by-step explanation:

Part (5):

When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.

The figures is shown below.

In ΔABC,

CB = 6 mm

So,

CD = BD = 3 mm

Now calculating the perpendicular height of the triangle.

Using Pythagoras theorem in ΔADC:

[tex](AC)^2=(CD)^2+(AD)^2\\\\(9)^2=(3)^2+(AD)^2\\\\81=9+(AD)^2\\\\(AD)^2=81-9\\\\(AD)^2=72\\\\AD=8.48mm[/tex]

Thus, the perpendicular height of the triangle is 8.48 mm.

Part (6):

The figure is shown below.

Converting meter to centimeter:

1 m = 100 cm

So,

12 m = 1200 cm

Using Pythagoras theorem in ΔXYZ:

[tex](XZ)^2=(YZ)^2+(XY)^2\\\\(1200)^2=(190)^2+(XY)^2\\\\1440000=36100+(XY)^2\\\\(XY)^2=1440000-36100\\\\(XY)^2=1403900\\\\XY=1184.86cm[/tex]

Thus, 1184.86 cm far up the wall the ladder reach.

I need help with this it's urgent!

Answers

Answer:

I looks like it's anwser D

Answer:

$460.80

Step-by-step explanation:

with we us our formula equation I=prt we now cam solve for our depreciated value

with we substitute our varibles with the correct numerals we now get

I= 960 x 0.12 x 4

we turn our 12% into a decimal to be Simplified into our equation.

If we now solve we will get

I = 960 x 0.12 x 4

I = 460.8

evaluate h(0). What does this value represent?

Answers

Answer:

Step-by-step explanation:

Answer:

An equation is needed to evaluate h(0).

When you evaluate h(0), you find the y-intercept of the graph because the independent variable inside the brackets, probably x or t, equates to 0.

The problem is needed for its context to be explained.

Although in most math problems, when h(x) form is used, h usually represents height.

I assume h(0) is the initial height, maybe the height that the rocket was launched or the height that the person who threw the ball is.

Answer my question pls

Answers

Answer:

the answer is 20

Step-by-step explanation:

5×12 = 60

which means he had 60 points feom hitting the target

60-20=40

therefor he lost 40 points miing the target

40÷2=20

therefor he missed the target 20 times

Which of the following is/are equal to 3.4?i)314ii)5115iii)3410

Answers

None of them I think

hi can somebody plz help me ​

Answers

Answer:Its the last one to the left up

Step-by-step explanation:

What time will it be in 3/4 hour? Answer for me please x

Answers

Answer:

9:25

hope this helps

have a good day ;)

Step-by-step explanation:

3/4 of an hour=45 minutes so add 8:40 + 45 min

Answer:

9 : 25

Step-by-step explanation:

It shows 8 : 40

After 3/4 hour or 45 minutes.

8 : 40 + 20 minutes + 25 minutes

9 : 00 + 25 minutes = 9 : 25

what is the length of side B in the above right triangle​

Answers

Answer:

b is 3 pythagorean theorem

Step-by-step explanation:

Answer:

your answer for B is 3

Step-by-step explanation:

this is easy its a Pythagorean Triple (with triples u dont have to do much work all u have to do is know ur Triples and its that easy)

so the Triples are

3,4,55,12,138,15,177,24,25

p.s you might want to write these down for the future

so if we look at this picture of the triangle we can tell its a 3,4,5 triple

and there is one missing side which is 3.

what is the equation for a line that passes through the points (5,-3) and (-10,15)

Answers

Answer:

7 is ur answer

Step-by-step explanation:

What can you tell about a triangle when given three side lengths?

What can you tell about the relationship between the angles of a triangle and its sides?

Answers

Answer:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Step-by-step explanation:

A positive
B negative
C none
D multiple

Answers

the answer is positive because its is going in the positive column

Answer:

postive

Step-by-step explanation:

positive collums so it's positive

Pls I just need the equation for this one

Answers

Answer:

y=1/3x

Step-by-step explanation:

the slope (rise/run) is 1/3 and the y-intercept ("b" in y=mx+b) is just 0, so you dont have to write it


Please HELP ME it’s my test I need to turn IT IN. In A COUPLE MIN

Enzymatic browning, the darkening of cut fruit when exposed to the air, can be lessened by

A. cooking the fruit

B.dipping the fruit in a juice rich in vitamin C

C. freezing the fruit

D.dipping the fruit in chocolate

Answers

Answer:d

Step-by-step explanation:

The answer is B. dipping the fruit in a juice rich vitamin C because the acid slows down enzymatic browning.

Hope this helps :)

What is the value of the expression 9 x 4 - (2 x 1/2)

Answers

Answer:

35x

Step-by-step explanation:

Start with parentheses, 2 x 1/2 = 1

9 x 4 = 36

36 - 1 = 35

Write the equation of the line in the following graph:​

Answers

Answer:

Y = -1/2 - 2

Step-by-step explanation:

Y - intercept (b value in y = mx + b) equals -2.

Slope is -1/2

Answer:

the equation of the line in the following graph:​ y = -1/2x - 2

Made this for twitch please answer this please

Answers


Player B should shade in 2 circles as there is 5 left meaning if player B circled 2 and player A circled one player B could circle the last 2 and if player A circled 2 then player B could have the last one if that makes sense

plzz help me with the correct ans find x ​

Answers

Answer:

15

Step-by-step explanation:

Since, triangle ABC is the enlargement of triangle XYZ.

[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]

So, corresponding sides of both the triangles would be in proportion.

[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]

[tex] \therefore x= \frac{6\times 25}{10}[/tex]

[tex] \therefore x =\frac{150}{10}[/tex]

[tex] \therefore x = 15[/tex]

The answer is 15. Because yes

Lol! Quick question By the way this question is really simple! 3 × [(27 − 6) − (6 + 7)]

Answers

Answer:

24

Step-by-step explanation:

use a calculator for these type of problems next time!

the answer to this equation would be 24x

Write an expression for the phrase.
A number increase by ten.
No links

Answers

Answer:

n + 10

Step-by-step explanation:

im pretty sure thats right, im sorry if not but have a great day!

Answer:

I'm not tryna be a but do u know how to ask questions in the app

Step-by-step explanation:

pls

Ridas father is 4 times old as rida. After 5 years father will be three times as old as rida.Find their present ages

Answers

Answer:

Rida is 10 years old and her father is 40 years old.

Step-by-step explanation:

Given:

Present age

Present age of Rida = x

Present age of Rida's father = 4x

Age after 5 years

Age of Radi after 5 years = x + 5

Age of Radi's father after 5 years = 3(x + 5)

What To Find:

The present age of Rida and Rida's father.

Solution:

According to the statement the equation will be,

⇒ 4x + 5 = 3(x + 5)

Remove and solve the brackets,

⇒ 4x + 5 = 3x + 15

Take numbers to RHS and variable to LHS,

⇒ 4x - 3x = 15 - 5

Subtract 3x from 4x and 5 from 15,

⇒ x = 10

Now substitute the values of Rida's age and Rida's father's age,

Rida's age = x = 10 years

Rida's father's age = 4x = 4(10) = 40 years

Simplify 6(x + 3).

6x + 3
x + 18
6x + 18
6x + 9

Answers

Answer:

the answer of this question is = 6x + 18

Other Questions
Please someone help me! A sample of human tissue has just been delivered to your evidence room for a crime scene What type of tissue is this?Please help will mark BRAINLIEST and make sure to explain!! Name all of New Zealand's biomes. A $108,000 down payment would be? of the purchase price. Read this excerpt from a letter to the city council:Dear city council members:The city has proposed limiting library hours in order tosave money. I understand that the city budget is beingchallenged at the moment, but no good will come ofdenying children access to the library after school.Children go to the library to learn and to get help with theirhomework. As a single parent, I rely on the library as anaffordable place where I know my kids will be safe. Of allthe programs to cut, the library should not be your firstchoice.Which statement best describes the authors point of view?A. The city should encourage better childcare optionsB. The city should find another way to save moneyC. The city should stop ignoring voters' opinions about librariesD. The city should expand library hours. HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE If a line falls on the points (6,22) and (4,21), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark (/) as the fraction bar What is natural science Match the italiczed clause to its function in the sentence. 1. Whenever I get home will be soon enough. direct object 2. Choose whichever one you want. subject 3. Dad will pay whoever finds his dog a reward. object of preposition 4. My accomplishment, that I have written one story, doesn't make me an author. appositive 5. This is how I make Swedish meatballs. indirect object 6. Don't judge a person by what he wears. predicate noun Show that 0-58200-48826-5 is a valid UPC number. The Autobiography of Benjamin Franklin provides which of these?> a series of journal entries written by Franklin about himself as a statesman, writer, inventor, and scientist> a series of essays written about Franklin as a statesman, writer, inventor and scientist> a close friend's impressions of Franklin as a statesman, writer, inventor and scientist>facts from Franklin about himself as a statesman, writer, inventor, and scientist What does every weak base have? Find the answer for number 25. a plumber charges $50 for every house call and an additional $70 for each hour of work for one house call yesterday the plumber earned $435 which equation can be solved to find the number of hours the plumber word on the house call Which of the following Python methods is used to perform hypothesis testing for a population mean when the population standard deviation is unknown?a. uttest(dataframe, null hypothesis value) b. ztest(dataframe, null hypothesis value) c. prop_1samp_hypothesistest(dataframe, n, alternative hypothesis value) d. ttest_1samp(dataframe, null hypothesis value) The ozone destroying pollutants primarily comes from air conditioner coolants, refrigerator coolant, aerosol spray, and plastic foam. * truefalse The temperature at 8 a.m. was -6C.By noon, the temperature was 3C.Find the change in temperature.11 5. What process happens when rocks break down due to reaction with water,carbon dioxide, oxygen and organic acids?A. Biological EngineeringB. Chemical EngineeringC. Electrical EngineeringD. Mechanical EngineeringIf your score issted by the ever4- 5 Very good! You may still read the module but you are alreadyknowledgeable with the topics that we are to discuss.2-3 Good! Go over the items that you find difficult and then you may proceedto the lessons in this module that you don't understand. .to Read this statement.In legal reasoning, the facts of a case suggest that there is an issue. This issue may already be governed by a rule of law. When the facts are compared to the rule, an analysis of the case can be developed. From this analysis, a _[blank]_ can be made as to whether or not the _[blank]_ applies to the _[blank]_.Which three words, in order, accurately complete the statement?A-rule; conclusion; issueB-conclusion; rule; facts URGENT HELP! Graph and indicate the 3rd Critical Point