Find the value of k so that (x + 3) is a factor of H(x) = 3x^3 – 2x^2 + kx – 3.

A. 34
B. 20
C. -20
D. -34
E. 32

Answers

Answer 1
D. -34

Explanation:

3(-3)³ - 2(-3)² + (-3)k - 3 = 0

-81 - 18 - 3k - 3 = 0

3k = -102

k = -34.

Related Questions

Aline that includes the point 5. 10) has a siope of 1. What is its equation in siope-intercept
te your answer using integers, proper fractions, and improper fractions in simplest for

Answers

Step-by-step explanation:

a lot of typos in the problem description.

if I understand correctly, the line contains the point (5, 10) and has a slope of 1.

and we need to give the line equation in slope-intercept form.

that means it has to look like

y = ax + b

a is the slope and b is the y-intercept (hence the name of the form).

we know a = 1.

we can use use the point-slope form to start and then transform it into the slope-intercept form.

point-slope means

y - y1 = a(x - x1)

a is again the slope, and (x1, y1) is a point on the line.

so,

y - 10 = 1(x - 5) = x - 5

now we transform it (adding 10 on both sides)

y = x + 5

and that's it.

here are vaccinations for all of the following except __________

Question 10 options:

hepatitis C.


chicken pox.


tuberculosis.


mumps.

Answers

Answer:

Hepatitis C.

Step-by-step explanation:

A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.
What is the area of the triangle formed by his path?
round to the nearest hundredth.

for Acellus!!!

Answers

Answer:

I think it's 28,700,000 feet

Step-by-step explanation:

Answer:

34,971.99

Step-by-step explanation:

Write an equation in standard form for the line that passes through (-1, -2) and (3, 0).

Answers

ANSWER: y = 1/2x - 3/2
Ok done. Thank to me :>

Find the disFind the distance between the points P and Q shown.

tance between the points P and Q shown below

Answers

Step-by-step explanation:

I am sorry but please give detailed question

Write the phrase "one more than the product of six and nine" as a mathematical expression.

Answers

Answer:

6.9+1

Step-by-step explanation:

hope it helps

[tex]\huge\mathfrak\blue{ ☃ }[/tex]

Answer:

the product of six and nine is fifty five

Millie has a bank account balance of $1200. Each week, her balance changes by
-$72.50.
She wants to keep the balance
above $620.
How many weeks will Millie's balance remain above $620?
Select from the drop-down menu to correctly complete the statement.

Answers

Answer:

at least 8

Step-by-step explanation:

Answer:

At least 8

Step-by-step explanation:

I took the test

Find m

F
E
D
∠FED. This question is going to be 20 points

Answers

Answer:

the answer is : 180° - (61° +61°) = 58°

Please answer this question IT IS NOT AVTEST DONT TRY TO DELETE IT.

Answers

The answer is A: 12(-.4x+1)

Help help help help math

Answers

yes it does my dear child

6(25-8w)+20w for w=2

Answers

150−28w

i think i dont know

Help pleaseee????????

Answers

it will be equal to the photo

median 5

lower

Help help math math math

Answers

Answer:

10

Step-by-step explanation:

substitute -8 into x.

f(-8)=-8+18=10

Answer:

10

Step-by-step explanation:

Which of the following is a proper fraction? A7001/6 B 9/4 C 31/99 D3/2

Answers

Answer:

31/99

Step-by-step explanation:

Becuase the numerator is lesser than the denominator

Answer:

C. 31/99

Step-by-step explanation:

It's C because a proper fraction is a fraction with a numerator that is less that it's denominator in its lowest terms

You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Coke and half prefers Pepsi. How large a sample do you need to take to ensure that you can estimate, with 95% confidence, the proportion of people preferring Coke within 3% of the actual value?

Answers

You have to add.

Step-by-step explanation:

I'm trash at math.

divide g by 9, then triple the result

Answers

Answer:

nose que dice no hablo inglesh :v

Helppp! I dont completly get the conceptttt

Answers

1/7 is a
0.2 is b
3/9 is c

Hope you find this helpful!
Brainliest and a like is much appreciated!

Which of the following equations describes the graph shown above

Answers

Answer: D

Step-by-step explanation:

this is in y=Mx+ b form. M stands for the slope and b stands for the y intercept, or where the line intersects with the y-axis.

Going left to right, the line slopes downwards, therefore it is a negative Slope. This narrows down your answer to either a or d. the slope is -1 because you can only ever write x by itself if it means 1x. In this case it is negative so it would look like this: -x

for the y-intercept, simply look at where the line passes through the y-axis. In this case, it is positive 2.

your finished equation would be: y=-x+2

i hope this is helpful

3. West Fremont is a community consisting of 3,000 homes. A small coal-burning power plant currently supplies electricity for the town. The capacity of the power plant is 12 megawatts


(MW) and the average household consumes 8,000 kilowatt hours (kWh) of electrical energy each year. The price paid to the electric utility by West Fremont residents for this energy is $0.10 per kWh. The town leaders are considering a plan, the West Fremont Wind Project (WFWP), to generate their own electricity using 10 wind turbines that would be located on the wooded ridges surrounds the town. Each wind turbine would have a capacity of 1.2 MW and each would cost the town $3 million to purchase, finance, and operate for 25 years.



(a) Assuming that the existing power plant can operate at full capacity for 8,000 hrs/yr, how many kWh of electricity can be produced by the plant in a year?



(b) At the current rate of electrical energy use per household, how many kWh of electrical energy does the community consume in one year?



(c) Assuming that the electrical energy needs of the community do not change during the 25-year lifetime of the wind turbines, what would be the cost to the community of the electricity supplied by the WFEP over 25 years? Express your answer in dollars/kWh.

Answers

Power is the rate of doing work, and the power of the generating plant or

turbine and the duration of generation, gives the energy generated.

The correct responses are;

(a) 96 × 10⁶ kWh(b) 24 × 10⁶ kWh(c) 0.05 dollars/kWh

Reasons:

Number of homes in the town = 3,000 homes

The given capacity of the power plant = 12 MW = 12,000 kW

Power consumed by a household = 8,000 kWh per year

The price for electrical energy = $0.10 per kWh

Number of wind turbines = 10

WFWP = The West Fremont Wind Project

Capacity of each wind turbine = 1.2 MW

Cost of each wind turbine for 25 years = $3 million

(a) Number of hours of operation of the power plant = 8,000 hrs/yr

Required:

The amount of kWh of electricity produced in a year by the plant.

Solution:

The energy produced = Power × Time

∴ The energy produced = 12,000 kW × 8000 hr = 96,000,000 kWh

Therefore;

The energy produced by the plant in a year, E = 96 × 10⁶ kWh

(b) Energy consumed = Energy consumed per home × Number of homes

Therefore;

Energy consumed = 8,000 kWh/home × 3,000 homes = 24,000,000 kWh

The energy the community consumes in one year = 24 × 10⁶ kWh

(c) The cost per kWh = $0.10

The cost, C, of the energy per year is therefore

C = 24,000,000 kWh × $0.10/kWh = $2,400,000

The cost for 25 years = 25 × C = 25 × $2,400,000 = $60,000,000

The number of wind turbines = 10

Cost per wind turbine = $3 million

Total cost to operate the 10 wind turbine = $3 million × 10 = $30 million

Energy consumed = 24,000,000 kWh

Therefore;

24,000,000 kWh × 25 = $30 million

[tex]\displaystyle 1 \ kWh = \frac{\$ 30 \ million}{25 \times 24,000,000 \ kWh} = \mathbf{\$0.05/kWh}[/tex]

The cost to the community of the electricity supplied by WFWP over 25 years is $0.05/kWh.

Learn more about energy and power here:

https://brainly.com/question/24592300

6+√27/4-√3 can be written in the form r +s√3/13
where are both r and s integers
what are the values of r and s

Answers

[tex]r = \left(\dfrac{33}{13}\right)[/tex]

[tex]s = \left(\dfrac{10}{13}\right)[/tex]

Step-by-step explanation:

Let's multiply and divide the given fraction by the conjugate of the denominator:

[tex]\dfrac{6+\sqrt{27}}{4-\sqrt{3}}×\dfrac{4+\sqrt{3}}{4+\sqrt{3}}[/tex]

[tex]\;\;\;\;= \dfrac{24 + 6\sqrt{3} + 4\sqrt{3} + \sqrt{27}\sqrt{3}}{13}[/tex]

[tex]\;\;\;\;=\frac{1}{13}(24 + 10\sqrt{3} + \sqrt{81})[/tex]

[tex]\;\;\;\;=\frac{1}{13}(33 + 10\sqrt{3})[/tex]

[tex]\;\;\;\;=\left(\dfrac{33}{13}\right) + \left(\dfrac{10}{13}\right)\dfrac{\sqrt{3}}{13}[/tex]

We can see here that

[tex]r = \left(\dfrac{33}{13}\right)[/tex]

[tex]s = \left(\dfrac{10}{13}\right)[/tex]

The value of the variable 'r' and 's' will be 33 and 18, respectively.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The two equations are given below.

(6 + √27) / (4 - √3) and  (r + s√3) / 13

Simplify the expression (6 + √27) / (4 - √3), then we have

[tex]\rightarrow \dfrac{6 + \sqrt{27}} { 4 - \sqrt3} \times \dfrac{4 + \sqrt3} { 4 + \sqrt3} \\\\[/tex]

⇒ [(6 + 3√3)(4 + √3)] / (4² - 3)

⇒ [(24 + 6√3 + 12√3 + 9)] / (16 - 3)

⇒ (33 + 18√3) / 13

Compare the expression (33 + 18√3) / 13 with (r + s√3) / 13, then the value of r and s will be given as,

r = 33

s = 18

The value of the variable 'r' and 's' will be 33 and 18, respectively.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Trigonometry I need help please

Answers

Answer:

10.7°

Step-by-step explanation:

SOH CAH TOA

Tan(BCA) = x/y

= 4/21

BCA= Tan`¹(4/21)

= 10.7856

to 3SF = 10.7°

Math isn't really my thing, so if you could help I would really, really appreciate!!​

Answers

Answer:

1. 0.25

2. 105-40

3. 0.375

4. 0.5

5. 0.4 same as the number 6

Step-by-step explanation:

i hope it helpful i guess?

-6x+6y=9 (1/2,2) please helppppp

Answers

Answer:

Not a solution.

Step-by-step explanation:

[tex]-6x + 6y = - 9\\\rule{150}{0.5}\\-6(\frac{1}{2}) + 6(2) = -9\\\\-3 + 12 = -9\\\\9 =-9[/tex]

The final result is a contradiction. It is not a solution to the equation, and therefore, will not be on the line.

the product of two factors is 4200.if one of the factors is 60.what is the other factor? ​

Answers

Answer:

Other factor is 70

Step-by-step explanation:

Let,

Other factor = x

Then,

x × 60 = 4200

x = 4200/60

x = 420/6

x = 70

Another factor is 70.

Answer:

Solution given

let two factor be a and b.

if one factor a=60, then b=?

we have

product of factor=4200

a*b=4200

60*b=4200

b=[tex]\frac{4200}{60}=70[/tex]

Step-by-step explanation:

The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length is 14 inches longer than its width, find the width.

Enter a number answer only.

Answers

Answer:

Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.

We can establish the following values to help us solve for the width of a rectangle:

Perimeter (P) = 68 inches

Length (L) = 14 + W inches

Width (W) = unknown

Solve for the Width (W)

P =  2(L + W)  ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.

Divide both sides by 2:

[tex]\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}[/tex]

[tex]\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}[/tex]

Substitute the value of the Perimeter and the length (L) into the formula:

[tex]\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}[/tex]

Combine like terms on the right-hand side, and simplify the left-hand side of the equation:

[tex]\displaystyle\mathsf{34\:=14\:+2W}[/tex]

Subtract 14 from both sides:

34 - 14 = 14 - 14 + 2W

20 = 2W

Divide both sides by 2 to solve for the width (W):

[tex]\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}[/tex]

W = 10 inches

Therefore, the width of the rectangle is 10 inches.

Double-check:

Verify whether the derived value for the width is correct:

P = 2L + 2W

68 = 2(14 + 10) + 2(10)

68 = 2(34) + 20

68 = 48 + 20

68 = 68 (True statement).  

Thus, the length of the rectangle is 34 inches, and the width is 10 inches.

Solve each inequality 3+1/2(3-x)<_7

Answers

Answer:

x > 5

Step-by-step explanation:

multiply the fractions, break up the fraction, group like terms, convert integer into a fraction, combine the fraction, combine the numerator, etc. hope this helps.

Find the perimeter of a regular polygon with an interior angle of 90° and side length 3.5 ft.
Please be accurate and explain.

Answers

Answer:

p=14 ft

Step-by-step explanation:

The figure that meets these conditions is the square

The perimeter:

4(3.5) = 14 ft.

Hope this helps

Sin(180-A)/tan(180-A) × cot(90-A)/tan(90+A) × cos(-A)/ cos(270-A) Please solve

Answers

so tan = me sun bathing for 2.5 second

Help help help help math math

Answers

Slope is 2/-1 or -2. Because you go up twice and then you go left once.

Answer:

y = -2x - 1

See image

Step-by-step explanation:

The "slope-intercept" form of the equation is the

y = mx + b form

So you need to find the slope (m) and the y-intercept (b), which you are able to find on the image in the question.

Slope (m) tells how steep a line is and whether it goes up or down from left to right. It also works just like directions, from any point on the line to any other point on the line.

The y-intercept (b) is the point on the line where the line crosses the y-axis.

The slope is -2 and the y-intercept is -1

So the equation is

y = -2x - 1

See image

What is the slope of the line that passes through the points (4,1) and (6, 2)?

Answers

I think it is 1/2 but I could be wrong, have a good rest of your day/night!!

Answer:

1-2

Step-by-step explanation:

honestly idek what this stuff is I just need points

Other Questions
Which list of angle measures could be the angle measures of a triangle? mars is called the red planet because it looks like what rusty metal? The weather broadcast gives us ........... about how the weather is going to be. 1. the information 2. informations 3. an information 4. information 1 pointAnti-federalists criticized the United States Constitution primarily becausegoverning power was concentrated in the *national government.state legislatures.delegates to the Constitutional Convention.O President's Cabinet.? How do you factor x-9? Which of the following are involved in graphs of linear equations.* Intercepts* The graph is a curve* The graph is the solution set.* Slope* The equation usually has a squared variable It is true that many creative people fail to make mature personal relationships, and some are extremely isolated. It is also true that, in some instances, trauma, in the shape of early separation or bereavement, has steered the potentially creative person toward developing aspects of his personality that can find fulfillment in comparative isolation. But this does not mean that solitary, creative pursuits are themselves pathological avoidance behavior is a response designed to protect the infant from behavioral disorganization. If we transfer this concept to adult life, we can see that an avoidant infant might very well develop into a person whose principal need was to find some kind of meaning and order in life which was not entirely, or even chiefly, dependent upon interpersonal relationships. ANTHONY STORR, Solitude: A Return to the SelfDoes Chris McCandless demonstrate avoidance behavior? Consider his traits, actions, and relationships with others. Cite and explain at least 3 pieces of evidence to support your answer. Then, write a thesis statement. Be prepared to defend your viewpoint during a discussionEvidence 1?Evidence 2?Evidence 3?Thesis Statement? Diets For You announced today that it will begin paying annual dividends next year. The first dividend will be $0.12 a share. The following dividends will be $0.15, $0.20, $0.50, and $0.60 a share annually for the following 4 years, respectively. After that, dividends are projected to increase by 4 percent per year. How much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent? HELP! ( MATH )WILL GIVE BRAINILEST!Question: Graph the solution of the equation. b 5 = 8 competition between species can be a limiting factor in an ecosystemTrueFalse what rights did thomas jefferson say every american is entitled to {Man} Once upon a time there was a lovely princess.But she had an enchantment upon her of a fearful sort which could only be broken by love's first kiss.She was locked away in a castle guarded by a terrible fire-breathing dragon.Many brave knigts had attempted to free her from this dreadful prison, but non prevailed.She waited in the dragon's keep in the highest room of the tallest tower for her true love and true love's first kiss.{Laughing} Like that's ever gonna happen.{Paper Rusting, Toilet Flushes}What a load of - Somebody once told me the world is gonna roll meI ain't the sharpest tool in the shedShe was lookin' kind of du.mb with her finger and her thumbIn the shape of an "L" on her foreheadThe years start comin' and they don't stop comin'Fed to the rules and hit the ground runnin'Didn't make sense not to live for funYour brain gets smart but your head gets du.mbSo much to do so much to seeSo what's wrong with takin' the backstreetsYou'll never know if you don't goYou'll never shine if you don't glowHey, now You're an all-starGet your game on, go playHey, now You're a rock starGet the show on, get paidAnd all that glitters is goldOnly shootin' stars break the moldIt's a cool place and they say it gets colderYou're bundled up now but wait till you get olderBut the meteor men beg to differJudging by the hole in the satellite pictureThe ice we skate is gettin' pretty thinThe water's getting warm so you might as well swimMy world's on fireHow 'bout yoursThat's the way I like it and I'll never get boredHey, now, you're an all-star{Shouting}Get your game on, go playHey, now You're a rock starGet the show on, get paidAnd all that glitters is goldOnly shootin' stars break the mold{Belches}Go!Go!{Record Scratching}Go. Go.Go.Hey, now, you're an all-starGet your game on, go playHey, now You're a rock starGet the show on, get paidAnd all that glitters is goldOnly shootin' stars break the mold-Think it's in there?-All right. Let's get it!-Whoa. Hold on. Do you know what that thing can do to you?-Yeah, it'll grind your bones for it's bread.{Laughs}-Yes, well, actually, that would be a gaint.Now, ogres - - They're much worse.They'll make a suit from your freshly peeled skin.-No!-They'll shave your liver. Squeeze the jelly from your eyes!Actually, it's quite good on toast.-Back! Back, beast! Back! I warn ya!{Gasping}-Right.{Roaring}{Shouting}{Roaring}{Whispers} This is the part where you run away.{Gasping}{Laughs} List most dangerous greenhouse gasses in order helpppppppppppppppppp Replace the power with a product and then transform the product into a polynomial. (1-y)^2 Help on 9 and 10!!!!!! Ill give 5 starts Write the inequality represented by the graph below. I dont have baking powder or all of the 10 subs I found online. I wanna make pancakes any suggestions 40% of the plants in Marcy's garden are root vegetables. If 20 plants are root vegetables, how many plants are in Marcy's garden in all? if you were a teacher, how would you apply the reward system in managing your classroom