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

Answers

Answer 1
Can you please help me I really need help with math
Answer 2

The required simplified value of k is 8 for given conditions.

Given that,
f(x) = x³ + kx + 9, and x + 1 is a factor of f(x) , then what is the value of the of k is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.


Here,

f( x ) =  x³ + kx + 9  / x + 1
remainder = 9 - (k+1), it should be equal to zero for the proper factor. So,
9 - (k + 1 ) = 0
9 = k +1
k = 8

Thus, the required simplified value of k is 8.

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Related Questions

find slope and y-intercept formed the graph if the linear equation
y=1/4x-8​

Answers

Answer:

not sure exactly what its asking but if its asking the slope and y-intercept of this equation is here.

Step-by-step explanation:

the slope is 1/4 while the y-intercept is -8 or (0,-8)

Answer: slope: 1/4

y-intercept: (0,-8)

Hope this helps and good luck :)

Step-by-step explanation:

Which system of inequalities describes the graph?

Answers

Answer:

It Would be C (the third one)

Step-by-step explanation:

Please mark me Brainlyest PLZ

Can someone please help this is due soon and I don’t know how to do it I’ll give brainlest

Answers

Answer:

the explanation contains numbered sticky notes please follow them in order and i  do encourage you to follow along somewhere.

merry christmas :)

x = 67,

y = 124

On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350 grams. On the third visit, the kitten had gained another 300 grams.
What is the percent increase since the first visit in the kitten’s weight rounded to the nearest percent?

Answers

Answer:

118%

Step-by-step explanation:

550 grams and 300+350 grams = 650 grams

650/550 grams x 100 = 118.18

So 118.18 % rounded is 118%

Hope this helps plz hit the crown :D

Answer:

The kitten has gained a 218% more weight since the first visit to the vet.

Step-by-step explanation:

In order to get the percentage the kitten has gained you have to add all the weight together and divide the first visit by the total weight.

TO find the total weight is found by adding all the weights together:

550 + 350 + 300 = 1200

now we divide 1200 by 550 to get a decimal which allows us to find the percentage:

1200 / 550 = 2.18181818182

now we multiply 0.45833333333 by 100 to turn the decimal to a percentage:

2.18181818182 * 100 = 218.181818182%

Now we round up to the nearest percentage which is:

218.181818182% = 218%

peeps go look up egde rewies

Answers

*shocking*

-runs in high heels-

-trips-

oh my! dear child..


Please help :( I don’t get these what so ever!!!

Answers

can you please explain more so that I can give you the correct answer because just by showing an image does not help

Answer:

10.95 for a, b is definitely from a different problem

Step-by-step explanation:

3*3.65=10.95

Can someone do this please

Answers

ok so umm you need to do 5x4= 20 and divide 20 and 4 you get 5 and multiply 5x4 you get 20 and the answer is 20

CAN SOMEONE PLEASE HELP ME!!
Consider the polynomial function h(x) = -7x6 + 3x4 – 5x2.
What is the end behavior of the graph of h ?

Answers

Answer: As x -> ♾, h(x) -> -♾, and as x -> -♾,h(x) -> -♾

Step-by-step explanation:

The end behavior is x ----> ∞ then h(x) ----> -∞, and when x ----> -∞ then h(x) -----> -∞.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

h(x) = -7[tex]x^6[/tex] + 3 [tex]x^4[/tex]– 5x².

If we plot the Equation on the Graph we can see a parabolic Curve.

This Curve tells as x tends to ∞ the value of h(x) tends to -∞.

and, when x tends to -∞ the value of h(x) tends to -∞.

Hence, the end behavior is x ----> ∞ then h(x) ----> -∞.

and, when x ----> -∞ then h(x) -----> -∞.

Learn more about Function here:

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Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 ft. and Grace threw it 39 ft. How far did the team throw the javelin?

Answers

Answer:

42+39 or 81 feet

Step-by-step explanation:

add them up and you get 81 feet.

Hope this helps plz hit the crown :D

There are 12 circles and 15 triangles. What is the simplest ratio of circles to triangles

Answers

Answer:

4:5

Step-by-step explanation:

Of the 150 students that attended the science camp, 82 were sixth graders. Marco says that less than half of the campers were sixth graders. Is he correct? Tell why or why not. Use a benchmark percent to support your answer.

Answers

Answer:

Incorrect

Step-by-step explanation:

150 students are 100%,

82 students are x%

(82*100)/150=54,67%, so  that is more than half of all students

Answer:

Marco is NOT correct

Step-by-step explanation:

150 / 2 = 75

so more than half of the students were 6th graders

55% of students were 6th graders, that's my benchmark but I'm not really sure.

Dominic invested $19,000 in an account paying an
interest rate of 6.1% compounded monthly. Assuming
no deposits or withdrawals are made, how much
money, to the nearest dollar, would be in the account
after 16 years?

Answers

Answer:

A≈50298

Step-by-step explanation:

Spencer bought gas for his four-wheeler from Gas World on Saturday. On Sunday, he bought the same amount of gas from Fuel Stop for less money. Now, Spencer has $20 to spend on gas for his car. Fuel Stop is on his way home. If the gas prices haven't changed, will Spencer be able to get more or less gas at Fuel Stop than at Gas World?

Answers

Answer:

Step-by-step explanation:

spencer bought the same amount of gas from gas world and fuel stop. since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world.

spencer has $20 to spend on gas for his car at fuel stop.

since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.

hope this helped

If the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World

What is Number system?

A number system is defined as a system of writing to express numbers.

Given,

Spencer bought gas for his four-wheeler from Gas World on Saturday

He bought the same amount of gas from Fuel Stop for less money on Sunday

Now, Spencer has $20 to spend on gas for his car.

since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world. spencer has $20 to spend on gas for his car at fuel stop. since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.

Hence if the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World

To learn more on Number system click:

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Anyways.....Im failing math :D

Answers

Answer:

SELENA IS THE BEST SINGER IN THE WORLD OTHER THAN NICKI MINAJA

Step-by-step explanation:

Answer:same ;p

Step-by-step explanation:

f(x) = x + 6
x=-2, 0, and 5

Answers

Answer:

f(x)=x+6

-2+6

4

when x=0

0+6

6

when x=5

5+6

11

Step-by-step explanation:

Felicia, Ingrid, Meiko and Tatiana spent a total of $31.50 at the baseball game. Felicia spent $4.25. Ingrid spent twice as much as Felicia. Meiko spent $1.90 more than Ingrid. How much did Tatiana spend?

Answers

Answer:

[tex]Tatiana = \$8.35[/tex]

Step-by-step explanation:

Given

[tex]Total = \$31.50[/tex]

[tex]Felicia = \$4.25[/tex]

[tex]Ingrid = 2 * Felicia[/tex]

[tex]Meiko = \$1.90 + Ingrid[/tex]

Required

Determine amount spent by Ingrid

We have that:

[tex]Ingrid = 2 * Felicia[/tex]

Substitute $4.25 for Felicia

[tex]Ingrid = 2 * \$4.25[/tex]

[tex]Ingrid = \$8.5[/tex]

We also have that:

[tex]Meiko = \$1.90 + Ingrid[/tex]

Substitute $8.5 for Ingrid

[tex]Meiko = \$1.90 + \$8.50[/tex]

[tex]Meiko = \$10.40[/tex]

The total can be represented as thus:

[tex]Felicia + Ingrid + Meiko + Tatiana = Total[/tex]

[tex]\$4.25 + \$8.50 + \$10.40 + Tatiana = \$31.50[/tex]

[tex]\$23.15+ Tatiana = \$31.50[/tex]

Collect Like Terms

[tex]Tatiana = \$31.50 - \$23.15[/tex]

[tex]Tatiana = \$8.35[/tex]

Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.

Answers

Answer:

11 3/5 containers

Equivalent to 11.6 containers

Step-by-step explanation:

Total pounds of potato salad = 14 1/2 pounds

Pounds in each container = 1 1/4 pounds

How many containers does she need?

Number of containers needed = Total pounds of potato salad / Pounds in each container

= 14 1/2 ÷ 1 1/4

= 29/2 ÷ 5/4

= 29/2 × 4/5

= (29×4) / (2×5)

= 116/10

= 11 6/10

= 11 3/5 containers

Equivalent to 11.6 containers

The price of a bicycle was decreased by 40% to £96. What was the price before the decrease?The price of a computer was decreased by 20% to £420. What was the price before the decrease?

Answers

the first one would be $160 and the second one would be $525

Besty has $27 saved. This month she saved an additional $9. She wants to buy packs of colored string to make bracelets. Each pack costs $6. Besty says she now has enough money to buy 6 packs. Carl says she has enough money to buy only 3 pack. I Besty or Carl correct? Explain your answer

Answers

Answer:

Yes, Besty is correct.

Step-by-step explanation:

$27 + $9 = 36. 36 divided by 6 is 6. Besty would only be able to buy 3 packs if each pack costed $12 (36 divided by 12 is 3).

Besty is correct. Believe me

Plot A(0, 0), B(1, 0), C(1, 2), D(2, 0), and E(2, 4). Then sketch ∆ABC and ∆ADE. By what postulate or theorem could you show that ∆ABC and ∆ADE are similar? A. AA Similarity Postulate B. SAS Similarity Theorem C. SSS Similarity Theorem D. Any of the above could be used to show that the triangles are similar.

Answers

Answer:

1) Please find attached the given plot and sketch of the points created with Microsoft Word

2) The correct option is;

A. AA Similarity Postulate

Step-by-step explanation:

1) Please find attached the given plot and sketch of the points created with Microsoft Word

2) The given parameters are;

The coordinates of the points are A(0, 0), B(1, 0), C(1, 2), D(2, 0) and E(2, 4)

Therefore, we have;

The length of segment AB = 1

The length of segment BC = 2

The length of segment AD = 2

The length of segment DE = 4

Therefore, we have;

∠ABC = ∠ADE = 90°

∠BAC = = artctan(2/1) = ∠DAE = artctan(4/2) = 63.435°

Therefore, ΔABC and ΔADE are similar by AA Similarity Postulate

helppp me plssss because it’s a test

Answers

Answer:

3

Step-by-step explanation:

Simplify: 12 + 4n + 5 - 2n - 10

Answers

Answer:

2n+7

Step-by-step explanation:

4n -2n =2n
12+5-10=7
Answer is 2n + 7

-41 + 22 negative or positive

Answers

Answer:

-19

Step-by-step explanation:

Plz help I am getting timed

Answers

Answer:

$ 227.75

Step-by-step explanation:

Answer:

227.5

Step-by-step explanation:

5 x 45.55=227.5

An 8-ounce bottle of lotion costs $4.50. Find the Unit Rate. hint: What is the cost per ounce?

Answers

Answer:

approximately 56 cents

Step-by-step explanation:

4.5/8

i only need A. please help asap

Answers

Answer:

B

Step-by-step explanation:

The answer is B because it has the slope and its on the rise and run.

Hope this help:)

PLss maark brainlist

Answer:

the answer is b

Step-by-step explanation:

the answer is b

Which of these is not a unit for measuring weight?
A
ton
B.
gallon
С
ounce
D
pound

Answers

I believe it is a pound. D

Foot Locker is selling a pair of Nike for $60 that has been discounted by 25%. What was the original selling price?

Answers

The original price is $80

solve for X !

answer quickly please

Answers

42 degrees
You do 3x+1=125 to get your answer

Find the slope-intercept equation of the line.
I need the equation not the answer
Help plz

Answers

Answer:

y=4/5x+4

Step-by-step explanation:

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