Given f(x) = 2x^3+ 9x + k, and x + 1 is a factor of f(x), then what is the value of k?

Answers

Answer 1

Answer:

11

Step-by-step explanation:

to understand thisyou need to know about:factor theoremtips and formulas:if f(c)=0 then x-c is a factor of f(x)let's solve:

according to the question

2(-1)³+9(-1)+k=0

=>2(-1)+9(-1)+k=0

=>-2-9+k=0

=>-11+k

therefore

k=11


Related Questions

Find the area of the rhombus

Answers

Solution :-

Area of rhombus :-

[tex] \bf \star \: \: \boxed{ \bf \dfrac{d_{1}d_{2}}{2} }[/tex]

[tex] \sf \longrightarrow d_{1} = 4 \sqrt{3} + 4 \sqrt{3} = 8 \sqrt{3} [/tex]

[tex] \sf \longrightarrow d_{2} = 4 + 4 = 8[/tex]

Area of rhombus :-

[tex] : \implies \sf \dfrac{8 \sqrt{3} \times 8 }{2} [/tex]

[tex] : \implies \sf 8 \sqrt{3} \times 4[/tex]

[tex]: \implies \bf 32 \sqrt{3} \: {m}^{2} [/tex]

Savannah and Shea both collect stamps. Savannah has
5 more stamps in her collection than Shea has. Write an
expression to represent the total number of stamps
they have.

Answers

2x+5 ? Sheas number can be x. Savannahs can be x+5 as she has 5 more than Shea. Meaning altogether x+x+5 is 2x+5

Answer:

Step-by-step explanation:

t=s+(s+5)

t=s+s+5

t=2s+5

Math help/ battle !!

Answers

Answer:

The missing angle is 40 degrees

Step-by-step explanation:

Tan = opposite / adjacent

Tan ? = 24 / 29

24 / 29 = 0.8275

Tan-1 of 0.8275 is 39.610

Round to the nearest degree

39.610 = 40

Answer:

Step-by-step explanation:

Here you have a right triangle with the side lengths 24 and 29 and are asked to find the measure of the smallest angle.

In cases like this you should ask yourself which trig function includes the lengths of the legs (that is, the lengths of the side opposite the angle and the side adjacent to the angle).  That would be the tangent function, and so:

tan (?) = (opposite side) / (adjacent side)

Here, tan x = 24/29 = 0.691.  Note:  I used my TI-83Plus calculator to determine that the measure of angle x in radians is 0.691.

The unknown angle is 0.691 radians, or (multiplying that by the conversion factor (180/pi) ) 39.6 degrees.  To the nearest degree, that'd be 40 degrees.

NEED ALL 4! With the solution and step by step on what to do !! worth 35 points

Answers

Answer:

I got you, give me a few minutes

1st one: 6x+12+6y

2nd one: -12a-20b

4th one: 2x times 18

Step-by-step explanation:

1: -4x + 2y + 10

2: -12a^2 + 20ab

3: i didnt know it sorry

4: x^2 - 9x + 18

all you need to do is the order of operations

A number increased by 6 is 13. What is the number?*

Answers

Answer:

7

Step-by-step explanation:

Simply subtract 6 from 13.

13-6=7

Hope this helps! :)

25. If the number 39 is included in the following data 19, 21, 25, 36, 30, 19,
which of the measure of variability will not be affected?
A) median
B) mode
C) range
D) mean

Answers

It should be range your welcome

Lin’s family has completed 40% of a trip. They have traveled 24 miles. How far is the trip? (If you get stuck, draw a tape diagram)

Then


Marco bought a doll for his little sister. The price on the tag was $35, but it was on sale for 80% off. How much did Marco pay for the doll?

Answers

Answer:

1) 60 miles

2) 7 dollars

Step-by-step explanation:

1) Question 1

Let x be equal to the full distance of the trip

[tex]0.4x=24[/tex]

Divide both sides by 0.4

[tex]\frac{0.4x}{0.4}=\frac{24}{0.4} \\x=60[/tex]

Therefore, the trip is 60 miles long.

2) Question 2

Let y be equal to the price that Marco paid for the doll.

[tex]35*0.2=y[/tex]

We multiply 35 by 1-0.8 because the doll is 80% off, meaning he's paying for 20% of the original price

[tex]7=y[/tex]

Therefore, Marco paid $7 for the doll.

I hope this helps!

perímetro de un trapecio isosceles es 110 m, las bases miden 40 y 30 respectivamente.
alcula los lados no paralelos y el área.
h​

Answers

Answer: English please

Step-by-step explanation:

The diagonal of a square is 24 cm. What is the length of one side of the square?

Answers

The answer would be 6 !!

Answer:

side = 16.97 cm

Step-by-step explanation:

24²/2 = side²

side = 16.97 cm

help quick!!! please help!!
i don’t understand!! help me please!

Answers

Answer:

1/5

Step-by-step explanation:

its probability there is only 1 orange ball out of 5 balls altogether so the probability of picking 1 orange ball is 1/5

What is the first step to solving a system of linear equations algebraically?

99 POINTS- will mark branliesttt In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained.

Answers

Answer:

(-1,-4) and the coefficient is 3/2

Step-by-step explanation:

I am smart!!

Answer:

(-1, -4) coefficient 3/2

Step-by-step explanation:

the center of the shapes is (-1, -4) and the coefficient is 3/2 because the red shape is 3/2 times bigger than the black shape

What is the slope of this line?

Answers

Answer:

A

Step-by-step explanation:

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PLEASE HELP FAST EASY MATH AND PRETTY STRAIGHT FORWARD!! I Will Mark Brainlist!

Answers

Answer:

We cannot draw graphs in brainly. we could send a pic or screenshot of where we could draw it though if u wanted

The temperature, y, of a pot of water is 45 °F. The temperature increases by 30 °F per minute, x, when being heated.

Answers

Answer:

y = 30x + 45

Step-by-step explanation:

The teapot starts of at 45 °F, and every minute, the temperature increases by 30 °F

Martin truncates the number N to 1 digit.
The result is 7
Write down the crror interval for N.

Answers

N=19 is the final answer

Help me with this :))))

Answers

Answer:

answer is 11.9...... have a good day

Answer:

11.9

Step-by-step explanation:

TU=TV-UV

TU=17.7-5.8=11.9

frank is going to plant d vegetable seeds in one garden and 3d + 9 vegetable seeds in another. How many seeds is Frank going to plant?

Answers

Answer:

If Frank is planting b seeds in one and 5b + 10 in the other, the expression showing the total is b + (5b + 10), or 6b + 10 seeds.

brainliest?

What is 2.900001 + 2.4203102212

Answers

Answer: 5.320311

Step-by-step explanation: hope this helps!

Answer:

5.3203112212

Step-by-step explanation:

What is the equation in point-slope form of the line that passes through the points (2,-3) and (-5,8)?

Answers

Answer:

y+3=-11/7(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-(-3))/(-5-2)

m=(8+3)/-7

m=11/-7

y-y1=m(x-x1)

y-(-3)=-11/7(x-2)

y+3=-11/7(x-2)

pls answer i'll mark u brainlist
a plane take 5/3 hours to cover a distance flying at 340 km per hour.find the time taken if the speed is increased to 850 km per hour

Answers

Answer: 2/3 hours

Step-by-step explanation:

okay so the speed now is 850, which is   850/340  = 2.5 times the original speed

Since It's 2.5 times the original speed,

2.5x = 5/3

so x = 5/3/2.5 = 2/3

Answer:

2/3 of an hour

Step-by-step explanation:

Here is the information that the question gives us.

A plane covers a distance in 5/3 of an hour at 340 km per hour. How long would it take for a plane to cover the same distance while traveling at 850 km per hour?

Remember, distance = speed * time. Using that formula, we can find the distance with this equation:

distance = 340 * 5/3

Multiply.

distance = 1700/3 km

Then, we can plug this distance in to find the time it would take for a plane going at 850 km/hour.

distance = speed * time

1700/3 = 850 * time

Divide both sides by 850

(1700/850) / 3 = time

time = 2/3 hour

Thus, the answer is 2/3 of an hour.

Just in case, let's check the answer. Because both the planes travel the same distance, then their speeds * time should both equal "distance". In other words, they should be equal.

340 * 5/3 = 2/3 * 850

Simplify.

1700/3 = 1700/3

So, the answer is correct.

I hope this helps! Feel free to ask any questions!

What is the slope of the line passing through
(4,56) and (5,70)

Answers

Answer:

14

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points and simplify:

(y2 - y1) / (x2 - x1)

(70 - 56) / (5 - 4)

14 / 1

= 14

So, the slope of the line is 14.

Answer:

m=14

Hope it helped if it did mark as brainliest!

PLS HELP ASAP! GIVING BRAINLY

ignore the highlighted answer

Answers

Answer:

the first one

35 (that symbol i cant find it on the computer) 5

35√5. If you solve 5√245 you get 78.26, and if you solve 38√5 you get 78.26, meaning they are equivalent.

Write ways to represent the fraction 10/9.

Answers

Answer:

mixed number form 1 1/9

decimal form 1.11111111111111 it goes on forever

percent form 111.111111111111% it goes on forever (again)

Step-by-step explanation:

i hope that helps!

Answer:

1  1/9

Step-by-step explanation:

10/9, you get 1 as the whole number.

You have a 1 left over when dividing 10 and 9. the 1 will be over 9.

Giving you 1 as the whole number and 1/9 next to it.

Geometry multiple choice question

Answers

It’s the 3rd one 10.3

A jewelry box is shaped like a cube. One side of the box is 6.5 inches long. What is the volume of the jewelry box?

Answer options:

-274 in3
-274.5 in3
-274.375 in3
-274.625 in3

Answers

Answer:

274.625 in^3

Step-by-step explanation:

equation for volume LxWxH

6.5x 6.5x 6.5= 274.625

At Game Stop they are selling Xbox Series X for $500 and the Playstation 5 for $550. Write the expression to represent the amount of money they will earn for selling p Playstations and x Xboxes

Answers

Answer:

The expression is:

y=500x+550p, where

y is the amount earned

x is the quantity of Xboxes sold

p is the amount of Playstations sold

Step-by-step explanation:

With the information provided, you can say that the amount of money they will earn for selling Playstations and Xboxes is equal to the sum of the result of multiplying the price per Xbox Series X for the quantity sold plus the result of multiplying the price per Playstation 5 for the quantity sold, which can be expressed as:

y=500x+550p, where

y is the amount earned

x is the quantity of Xboxes sold

p is the amount of Playstations sold

A piece of wire in the form of a rectangle 18 cm long and 15 cm wide is bent and reshaped as a circle. Find the radius of a circle.

Answers

Answer:

r = 12.89

Step-by-step explanation:

18(2) + 15(3) = 81 = C

C = 2πr

81 = 2πr

81/2 = πr

r = 81/2π ≈ 12.89

11x7/8 pls helpp i am so close from my test being over ty

Answers

Answer:

Exact Form:

77 /8

Decimal Form:

9.625

Mixed Number Form:

9  5 /8

Step-by-step explanation:

I AM SO SORRY IF THIS IS WRONG

Answer:

fraction form: 77/8

decimal form: 9.625

Step-by-step explanation:

if you change 11 into 11/1 you get

11/1*7/8

11*7=77

1*8=8

77/8

hope this helps!

12 divided into a number is wat

Answers

Answer:

x

Step-by-step explanation:

Answer:

12 divided by 1 can be 12. If thats what you mean and if not, just tell me by explaining with more detail

Step-by-step explanation:

Change the fraction to a whole number or mixed number:
10/3 = _____

Answers

Answer:

It is 3 1/3 because you divide 10 by 3 and you get 3 as the answer and 1 as a remainder.

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