(x + 3) is a factor of the polynomial x^3 + 2x^2 - 5x + n.
What is the value of n?

Answers

Answer 1

Answer:

n = - 6

Step-by-step explanation:

Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0

Here

f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is

f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so

- 27 + 2(9) + 15 + n = 0

- 27 + 18 + 15 + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

     


Related Questions

3

Assume that a randomly selected subject is given a one density test those test scores are normally distributed with a mean of 0 and a standard deviation of 1

Answers

Answer:

See Image below for answer:)

Step-by-step explanation:

Write a quadratic function in standard form with axis of symmetry x=-5 and y -intercept 3 .

Answers

Answer:

follow the statement below

Step-by-step explanation:

The question you presented here has multiple (un-limited) solutions unless you have another condition to solve for a single solution.

Equation: y = ax² + bx + c

y intercept (0 , 3): c = 3

axis of symmetry x=-5, therefore a corresponding point (-10,3) on the curve

3 = a*(-10)² + b*(-10) + 3

100a - 10b = 0

b = 10a  .... any pair like a=0.5 b=5; a=1 b=10 0r a=2 b=20 ..... all fit the function

y = 0.5x² + 5x +3

y = x² + 10x + 3

y = 2x² + 20x +3

........................

What is a limit in calculation.

Answers

Answer:

I think this was what you was looking for; The limit is the value of the function approaches as the input approaches mentioned value.  Limits are used as a way of making approximations used in the calculation as close as possible to the actual value of the quantity. Let us understand the limit formula in detail in the following section.

Step-by-step explanation:

3 2/9 x -1 5/7 make an improper fraction, multiply, then make it a simplified mixed number.

Answers

Answer:

-145/63

Step-by-step explanation:

3) Abhasra and Lisa each improved their yards by planting rose bushes and geraniums. They
bought their supplies from the same store. Abhasra spent $219 on 30 rose bushes and 11
geraniums. Lisa spent $420 on 6 rose bushes and 44 geraniums. Find the cost of one rose bush
and the cost of one geranium.

(EXPLAIN HOW DONE)

Answers

Answer:

Step-by-step explanation:

Let R and G stand for the prices of rose bushes and geraniums, respectively.

We are told that:

Abhasra:  30R + 11G = $219

Lisa:  6R + 44G = $420

Two equations and two unknowns.  Eliminate one of the variables by substitution:

Let's start with

6R + 44G = $420

and try to eliminate the G.  We note that the first equation,  30R + 11G = $219, can be multiplied by 4 to bring the geraniums up to the same as in the second equation:

6R + 44G = $420

4*(30R + 11G = $219) = 120R + 44G = 876

Now subtract this equation from the first:

   6R + 44G =  $420

-120R - 44G = -$876

 -114R           =  -456

  R = 4:   Rose bushes are $4 each.

Now use R= $4 in either equation to find G:

6R + 44G =  $420

6($4) + 44G =  $420

 $24 + 44G =  $420

44G = $396

    G = :  Geraniums are $9.00 each.

What is the line that goes through (2,3) and is perpendicular to the line y = -2x + 9?
ASAP :)

Answers

M1=-2

M2=1/2

y-3/x-2=1/2

2y=x+8

Pls can someone pls help me
Please show your work

Answers

Answer:

x = 8

I dunno what the question is in the first place, but I assume you are solving for x.

Step-by-step explanation:

The two given angles are equivalent because they are parallel and they have a line that intersects.

The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.

The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.

120 = -8 + 16x

128 = 16x

8 = x

x = 8

What is four thirds -2/5

Answers

Answer:

14/15

Step-by-step explanation:

You need to find the Least Common Multiple for the denominator to add. LCM of 3 and 5 would be 15. You multiply 5 to 3 to get 15 and 3 to 5 to get 15. You would multiply the numerators by the same number. 4x5=20 and 2x3=6. 20/15-6/15=14/15

Please need help 100 points

Answers

Answer:

(29/37)-(48/37i)

Step-by-step explanation:

Use complex arithmetic rule:

a+bi/c+di = [(c-di)(a+bi)/(c-di)(c+di)] =[(ac+bd)+(bc-ad)i]/c^2+d^2

To get: (29-48i)/37

Then rewrite it in standard complex form to get your answer.

Hope that helps!

(29/37)-(48/37i) is the answer !!

7. Find the rate of change from the table.
0
2
4
13
6
-10
20
50
80

Answers

Answer:

multiplying 2 then dividing

Step-by-step explanation:

Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?

Answers

Answer:

5 /12

Step-by-step explanation:

Which equation represents a line which is perpendicular to the line 5x+2y=12?
A. y = -5/2x + 2
B. y = -2/5x - 4
C. y = 5/2x + 3
D. y = 2/5x - 3

Answers

The answer your looking for is Y=2/5x -3 or D

4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour? ​

Answers

Answer:

61 miles in one hour

Step-by-step explanation:

366/6=

6*6=36

366/6=06

6*1=6

366/6=061 miles per hour

Answer: 61 mph

Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.

write a funny statement

Answers

Answer:

haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

The cost of a stove to a store owner was 650$, and she sold the stove for 1040$.
Step 1 of 3: What was her profit?

Answers

1040 - 650 = 390

By subtracting the cost from the amount she sold the stove for, we can find the profit of $390.

I hope this helps! :)

4x+8=3
help asap
step by step please

Answers

[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]

Answer:

x= -5/4

Step-by-step explanation:

4x+8=3

4x=3-8

4x=-5

x= -5/4

Simplify the expression to a + bi form:
A (-10 – 6i) +(2+i)

What is the answer to this?

Answers

Answer:  -8 -5i

Step-by-step explanation:

(-10 – 6i) +(2+i)

-10 – 6i +2 + i

(-10 +2) + (i – 6i)

-8 -5i

A house was sold for $64,900. If the selling price represents a 25% profit over the purchase price, how many dollars were in the purchase price of the house?

Answers

48,675£ because you have to times 64,900><0.75= 48,675

If the house is sold with a 25% profit then the purchase price of the house will be equal to $48,675.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the data provided in the question,

The selling price of the house = $64,900

Profit percent = 25%

The profit price of the house after selling,

64900 × 25/100

= $16225

Now,

The purchase price of the house,

$64900 - $16225 = $48675.

To know more about Percentage:

https://brainly.com/question/29306119

#SPJ2

A sink can hold 10 gallons of water.how many quarts of water can the sink hold?

Answers

Answer:

40 quarts

Step-by-step explanation:

one gallon is 4 quarts, so ten gallons would be 40.

4(quarts) x 10(gallons) = 40(number of quarts in the 10 gallons)

4 quarts is in a gallon so just take 4x 10 and its 40 quarts

What is the equation of the line that passes through the point (7,-6)(7,−6) and has a slope of -2−2?

Answers

Is the slope really -2-2? Or is that a miss type?

The function f(x) = RootIndex 3 StartRoot x EndRoot is reflected over the x-axis to create the graph of g(x) = Negative RootIndex 3 StartRoot x EndRoot. Which is the graph of g(x)? On a coordinate plane, a cube root function goes through (negative 2, negative 8), has an inflection point at (0, 0), and goes through (2, 8). On a coordinate plane, a cube root function goes through (negative 2, 8), has an inflection point at (0, 0), and goes through (2, negative 8). On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2). On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).

Answers

Answer: On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).

Step-by-step explanat hope that help

The function is

[tex]\\ \sf\longmapsto f(x)=\sqrt[3]{x}[/tex]

Graph attached

A cube has volume 1331cm3. Calculate the length of one edge of the cube.

Answers

Answer:

answer=11 cm.

Step-by-step explanation:

Step-by-step explanation:

V = Volume of cube

a = edge

Formula of volume of cube:

V = a³

[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]

The length of each edge is 11 cm.

Who Is Nathan Drake?

Answers

Answer:

he's the guy from uncharted

Answer: Nathan Drake is a fictional character and the protagonist of the Uncharted video game series, developed by Naughty Dog.

Y=x-6 y=-x-+4
Substitute please.

Answers

Answer:

( 5 , − 1 )

Step-by-step explanation:

If Tristen buys 14 t-shirts for $78.40. What is the
constant of proportionality?

Answers

Answer:

The constant is that each 14 t-shirts you need to pay 78.40$

Step-by-step explanation:

If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.

2x-4>-14 or 2x-4\leq10

Answers

Answer:

x>0

Step-by-step explanation:

2x−4>−142x−4

Multiplica −14 y 2 para obtener −28.

2x−4>−28x−4

Agrega 28x a ambos lados.

2x−4+28x>−4

Combina 2x y 28x para obtener 30x.

30x−4>−4

Agrega 4 a ambos lados.

30x>−4+4

Suma −4 y 4 para obtener 0.

30x>0

El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.

x>0

y= -8/9 (x+1)+6
convert to standard form

Answers

Answer:

mm

kl l

Step-by-step explanation:

What is the time difference between usa and england?

Answers

Answer:

-5 hours

Step-by-step explanation:

Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.

Answers

Answer:

B is twice as far away from point A as it is from point 0

I hope this helps.

The hypotenuse of a right triangle is 5 meters longer than one of its legs. The other leg is 6 meters. Find the length of the other leg, and round to the nearest tenth of an inch.

Answers

Answer:

Use Pythagorean theorm.

a^2 + b^2 = c^2 (c is hypotenuse).

Let c = 5+b (because in the question it says the hypotenuse is one leg plus 5 more meters) ; we will solve for b and say it's the leg we don't know.

We will say A is the "other leg" we know, which is 6.

6^2 + b^2 = (5+b)^2

We get b = 1.1

Other Questions
Read the excerpt titled "Dogs vs Cats" by Sam Brown.Canines are vastly superior to their feline counterparts.Dogs have instincts ingrained in them to protect theirowners. Unlike cats, canines become attached to theirowners and show them affection Researchers foundthat felines have no attachments to their owners andare inherently independent creatures. Furthermore,cats only show affection to their owners when they arehoping to gain something from it. For example, a catwill rub against its owner not to express loving feelings,but rather to mark its territory.Which sentence from the excerpt most signals bias?Canines are vastly superior to their felinecounterparts.O Dogs have instincts ingrained in them to protect theirowners.Researchers found that felines have no attachmentsto their owners and are inherently independentcreaturesO For example, a cat will rub against its owner not toexpress loving feelings, but rather, to mark itsterritory aThe flu occurs when someone is infected with a specific virus. You may know you're sick when you have a fever, abody temperature above 98.6 F. Based on your understanding of the reading passage, how do you think a feverwould affect enzymes and chemical reactions in your body? Would it decrease, increase, or have no effect onthem? Explain your answer.Include one paragraph in your answer. The representation of the indian was an important subject in art during the porfiriato. Our Changing SocietySociety is constantly developing and changing, and people disagree about the progress of this development. Do you believe that the world has changed for the better, or for the worse?In a multi-paragraph essay, support your answer to this question. Reinforce your position with specific details and examples from readings and your own experience.As you write, remember your essay will be scored based on how well you:develop a multi-paragraph response to the assigned topic that clearly communicates your thesis to the audience.support your thesis with meaningful reasons and sufficient details.address the readers' concerns, opposing viewpoint, or counterarguments.organize your essay in a clear and logical manner, including an introduction, body, and conclusion.use well-structured sentences and language that are appropriate for your audience.edit your work to conform to the conventions of standard American English.PLZ HELP ME OUT WILL GIVE BRAINLIEST Each year, the students in seventh grade go to an environmental camp. This year, the total cost is $1,580 for 79 students. Which equation represents the cost, y, of attending the camp for x number of students?Select the correct answer. y = 20x y = 79x y = 79x + 1580 y = 1580x + 79 What Does this Mean"We tell People to follow their dreams, but you can only dream of what you can imagine , and depending on where you come from, your imagination can be quite limited." -Trevor Noah Your company repairs household appliances such as microwaves, dishwashers, and clothes dryers. Your manager, Naomi, is excited about the potential for social media to drive organizational performance. She is considering a number of possible projects, and she asks your advice about how to use social media appropriately.Which of the following could be a good social media initiative for our company?a. Use Twitter to post news of product recalls and safety tips for customers, such as the importance of getting safety checks for furnaces and water heaters each fall.b. Start an internal company blog to post news about impending layoffs and merger discussions. - A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops ofsorbet are placed on the wide end of the cone. The scoops are spheres with a diameterof 2.5 inches. If all the sorbet melts into the cone, will the cone overflow? what is law? what is the main function of law what is The answer? Graphics, headers, captions, and charts or graphs help organize the material in informational texts.TrueFalse blood flows more slowly in the capillaries than in the aorta. why? 185/6 helppppppppopppooooooooo meee Mexico City is one of the powerhouse and cultural capitals of LatinMexico City is one of theAmerica. Que otras alternativas innovadoras de emprendimiento surgieron a raiz de la emergencia sanitaria? are my answers correct? Unscramble the given jumble word and choose the correct option, 'RAAJUG' [Hint:an animal] giraffe jaguar jackal Write a mystery horror story in 200 words !! Need this done fast !! 12. My sister ______ in London. *is liveare livelivelives13. Sally ___________ her dog for a walk. Her brother ___________ it. *never doesn't take/ always doesnever take/ does alwaysnever don't take/ always donever takes/ always does The and & the doveHow do people know right from wrong? Do you think the Ant would have helped the Dove if the Dove hadnt previously helped him?Story (down)An Ant went to the bank of a river to quench its thirst, and being carried away by the rush of the stream, was on the point of drowning.A Dove sitting on a tree overhanging the water plucked a leaf and let it fall into the stream close to her.The Ant climbed onto it and floated in safety to the bank. Shortly afterwards a birdcatcher came and stood under the tree, and laid his lime-twigs for the Dove, which sat in the branches.The Ant, perceiving his design, stung him in the foot.In pain the birdcatcher threw down the twigs, and the noise made the Dove take wing.