Given f(x)=x^3+9x+k, and x-1 is a factor of f(x), then what is the value of k?

Answers

Answer 1

Answer:

r:
The function is

The remainder when f(x) is divided by x−2 is 23.

To find:The value of k.

Solution:

According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).

It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get

Put x=2, to find the value of f(2).Therefore, the value of k is 8.

Step-by-step explanation:


Related Questions

what is the slope of the line on the graph need answer ASAP please thank you I'm in k-12​

Answers

The answer is -1 your welcome

My party started at 1:30 p.m.
It lasted 2 hours, 45 minutes.
What time did the party end?

Answers

Answer:

4:15

Step-by-step explanation:

add 2 hours that is 3:30

3:30 +30=4:00

and there oly 15 min left so

its 4:15

Explain why 10 to the zero power equals 1

Answers

Answer:

Because any number to the power of zero will be one.

5 out of 13 students will ride in a car instead of a van

Answers

Answer:

Step-by-step explanation:8

Answer:

the answer is 8 i think xddd

can you please help me?

Answers

Answer:

24.00

Step-by-step explanation:

8 times tables

Brainliest available

Simplify

Answers

Answer:

8x^3y^3

Step-by-step explanation:

Thats the answer but the ones with the symbol are up

To simplify this, we must simply power every component within the parentheses by 3

   [tex](2xy)^3=2^3*x^3*y^3 = 8x^3y^3[/tex]

Hope that helps!

can you guys answer this?​

Answers

An isosceles right triangle has two congruent angles and a right angle

It is true that the base angle of an isosceles right triangle is 45 degrees

How to determine the base angle?

From the question, we understand that:

Triangle type = isosceles right triangle

The sum of angles in a triangle is:

x + y + z = 180

Assume the triangle is right-angled at z.

So, we have;

z = 90

The equation becomes

x + y + 90 = 180

Subtract 90 from both sides

x + y = 90

The triangle is an isosceles triangle.

So, we have: x = y

The equation becomes

x + x = 90

2x = 90

Divide by 2

x = 45

Hence, it is true that the base angle of an isosceles right triangle is 45 degrees

Read more about isosceles right triangle at:

https://brainly.com/question/20447308

On a coordinate plane, how are the locations of the points (-5 , -3) and (5 , -3) related? A. Reflection across both axes B. Locations unrelated C. Reflection across the x-axis D. Reflection across the y-axis

Answers

Answer:

D. Reflection across the y-axis

Step-by-step explanation:

In the points (-5, -3) and (5, -3), first, notice that the y-coordinates are the same. However, the x-coordinates are positive and negative, meaning one will be on the left side of the y-axis and one will be on the right side of the y-axis, bringing us to answer D. Graph proof is also attached.

Entre los números -4 y 0 cuál es menor

Answers

Answer:

el menor es -4 :) porque entre más izquierda esté el número en la recta menor es (ejemplo en la foto). negativos siempre son menor que positivos :D

What is the solution to the equation?
Choose the student who solved the equation correctly.

12a = 6

Maria's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = 2.
Jessi's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = one-half.
Marcus's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 1.
Trevor's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 2.

9.1k = 63.7



The solution is
.

Answers

Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2


YOUR ANNSWER IS B OR JESSI’S WORK.

Answer:

Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2

Step-by-step explanation:

so it's B or jessi work

A new car is purchased for 15100 dollars. The value of the car depreciates at 12. 25% per year. To the nearest year, how long will it be until the value of the car is 2300 dollars?​

Answers

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$2300\\ P=\textit{initial amount}\dotfill &\$15100\\ r=rate\to 12.25\%\to \frac{12.25}{100}\dotfill &0.1225\\ t=years \end{cases} \\\\\\ 2300=15100(1 - 0.1225)^{t}\implies \cfrac{2300}{15100}=(1 - 0.1225)^{t}\implies \cfrac{23}{151}=0.8775^t[/tex]

[tex]\log\left( \cfrac{23}{151} \right)=\log(0.8775^t)\implies \log\left( \cfrac{23}{151} \right)=t\log(0.8775) \\\\\\ \cfrac{~~\log\left( \frac{23}{151} \right)~~}{\log(0.8775)}=t\implies 14.4\approx t\qquad \textit{about 14 years and 146 days}[/tex]

The table shows the masses of eight polar bears.

Answers

The outlier in the table that shows  the masses of eight polar bears is 62.The outlier reduces the mean. The outlier has no effect on the mode.The outlier reduces the median.The explanation for the mass of the outllier is that it could be the mass of the baby polar bear.

What is an outlier?

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. The outlier is 62. As a result, the median and the mean would be smaller. The mode would not be affected by the outlier.

To learn more about outliers, please check: https://brainly.com/question/26958242

Item 3
Solve for b.

16=a2+b2



b=16−a2

b=4−a

b=±16+a2−−−−−−√

b=±16−a2−−−−−−√

Answers

Answer:

I'm taking the test right now so i'll tell you the right answer after I submit my test but for now I think it's C.

Is (-4, -1) a solution to this system of equations?

y = 5/2x + 9
y = 1/2x + 1

Yes or no

Answers

Answer:

yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)

Step-by-step explanation:

A mother shared $600 amongst her three daughters Ana, Betty and Carol in the ratio of 2:3:5 respectively. How much money did Betty receive?

Answers

Ana, Betty and Carol in the ratio of 2:3:5 respectively

mom cut the $600 in (2+3+5) 10 parts

and gave 3 parts to betty

so B got 600 : 10 x 3 = $180

how to multiply and divide decimals with whole numbers

Answers

If this helps: 10 x .5 would be the same as 50% of 10. Also: 40 x .12 would be the same as 12% of 40.

Please help I'm extremely confused.

Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )​

Answers

Answer:

8.4 is the correct answer on acellus

The question is below:

Answers

Answer:

D.

Step-by-step explanation:

The original antenna revolves at a rate of 30 per 2 minutes, or 15 per minute.

Twice as fast = 15 X 2 = 30 per minute

Only the data in Table D fits.

660 / 22 = 30

720 / 24 = 30

Logarithms
Please do not answer with a link, not only can I not access it (nor would I be comfortable doing so) but the answer will be immediately deleted.

Answers

Answer:

[tex]\huge\boxed{\sf -2.280}[/tex]

Step-by-step explanation:

Finding value of log₃(4/49):

[tex]\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\[/tex]

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

[tex]= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}[/tex]

Question 1-3
The graph below shows a function that represents the weekly earnings, in dollars, for a company that makes x sets of headphones per week.
7,0001
6,000
5,000
4,000
Earnings (5)
3,000
2,000
1,000
0 1,000 2,000 3,000 4,000 5,000 6,000
Number of Headphones Made per Week
Based on this model, which statements are true? Choose ALL that are correct.
When producing 5,000 sets of headphones per week, the weekly earnings is $0.
If production is increased from 3,000 to 4,000 sets of headphones per week, then the weekly earnings will also increa
Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.
The maximum possible earnings is about $6,250 per week.
If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increa

Answers

The production graph of the company is a quadratic graph

The true statements about the production graph are:

When producing 5,000 sets of headphones per week, the weekly earnings is $0.Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.The maximum possible earnings is about $6,250 per week.If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increase

How to interpret the model?

To interpret the model, we simply evaluate the options one after the other

Producing 5000 sets weekly

From the graph, we have:

(x,y) = (5000,0)

This means that a weekly production of 5,000 sets of headphones give an earning of $0.

Hence, this option is true

Increased production from 3000 to 4000

From the graph, the function value decreases when x increases from 3000 to 4000.

This means that this option is false

Producing 2500 sets

The production of 2500 sets give a maximum earning of $6250

This means that options (c) and (d) are true

Increased production from 1500 to 2000

From the graph, the function value increases when x increases from 1500 to 2000.

This means that this option is true

Hence, the true statements are: (a), (c), (d) and (e)

Read more about quadratic graphs at:

https://brainly.com/question/7988424

Find the sixth term of the geometric sequence when a4=−8 and r=0.5
A. 4
B. 2
C. -4
D. -2

Answers

Answer:

D

Step-by-step explanation:

to find a term in the sequence multiply the previous term by r , then

a₄ = - 8 , so

a₅ = - 8 × 0.5 = - 4

a₆ = - 4 × 0.5 = - 2

The sixth term of the sequence will be negative 2. Then the correct option is D.

What is a geometric sequence?

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The fourth term (a₄) is negative 8 and the common ratio is 0.5.

Then the sixth term will be

For n = 5, we have

a₅ = a₁ · (r)⁵⁻¹

a₅ = a₁ · (r)⁴

a₅ = a₁ · r³ · r

a₅ = a₄ · r

a₅ = -8 · 0.5

a₅ = -4

Then the sixth term of the sequence will be

a₆ = a₁ · (r)⁶⁻¹

a₆ = a₁ · (r)⁵

a₆ = a₁ · r⁴ · r

a₆ = a₅ · r

a₆ = -4 · 0.5

a₆ = -2

The sixth term of the sequence will be negative 2.

Then the correct option is D.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

#SPJ2

please slove

10^3⋅10^4/10^5

Answers

Answer:

100

Step-by-step explanation:

10^3= 10x10x10= 1000

10^4= 10x10x10x10= 10000

10^5= 10x10x10x10x10= 100000

( the quickest way to sove this is by add 0 behind the one, whatever the exponent is, thats how many zeroes there abre going to be.

ex: 10^3 theres 3 exponents so theres going to be 3 zeroes behind the one

step 2 solve

1000x10000/100000= 100

Answer:

10^2

Step-by-step explanation:

10^3⋅10^4/10^5

add the exponents when multiplying

10^7/10^5

subtract the exponents when dividing

10^2

4) What % of 60 is 12?

Answers

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}[/tex]

12×60%=

[tex] \bf \textcolor{green}{ \underbrace{7.2}}[/tex]

xLasersx✨

Answer:

20%

Step-by-step explanation:

100% = 60

?% = 12

[tex]\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer[/tex]

Therefore, 20% of 60 = 12

Check your answer:

20/100 = 0.2

0.2 * 60 = 12

Hope this helps!

Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 7 hours? Explain your reasoning

Answers

Answer:

55.75

Step by step explain:

33.00 divided by 4 equals 8.25

then multiply 8.25 by 7 which equals 55.75

A circle is to be drawn with radius 3.5 inches. the radius is measured as 3.6 instead, what error does this cause in the area of the circle?(leave your answer in terms of pi )

Answers

Answer:

[tex]0.71\pi\: in^2[/tex]

Step-by-step explanation:

[tex]r_1= 3.5\: in[/tex]

[tex]r_2= 3.6\: in[/tex]

[tex]A_1=\pi r_1^2=\pi(3.5)^2= 12.25\pi \:in^2[/tex]

[tex]A_2=\pi r_2^2=\pi(3.6)^2= 12.96\pi \:in^2[/tex]

[tex]Difference\: in \:area =A_2-A_1=0.71\pi\:in^2[/tex]

[tex]\implies Error \:in\: the \:area \:of\: the \:circle = 0.71\pi\: in^2[/tex]

help on this please.

Answers

Are you trying to find the blank angle or are you looking for the equivalent of something here is something that might be able to help. I do not know if this answers your questions

Franco has $1.95 in his pocket. His mom has three times as much in her pocket. How much money do Franco and his mom have in total?

$1.95
$5.85
$6.80
$7.80

Answers

Answer: $5.85

Step-by-step explanation:

Answer:

5.85

Step-by-step explanation:

since Franco's mok has THREE times as much in her pocket, that means we we multiple 1.95 by 3. $1.95x3=$5.85

hello, please answer the question, please show work

Answers

3/8 is bigger than 1/5

what is the x and y intercepts for 2y = 8 - 8x

Answers

(1,4) is the x and y coordinate

What does n equal? Please help!

Answers

Answer:

x=0

Step-by-step explanation:

because you divide by x^12

x^n=x^0

x=0

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