Is x-10 a factor of f(x)=5x^3+60x^2+109x+90

Answers

Answer 1

Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.


Related Questions

Select the correct answer.
The graph of function fis shown
y +10
+5
5
10
-10
Which statement correctly describes the graph of 9() = (– 4);
A. Function g has the same horizontal asymptote as fand a vertical asymptote at 3 = 5.
ОВ. Function g has the same vertical asymptote as fand a horizontal asymptote at y = -2.
OC Function g has the same vertical and horizontal asymptotes as function f.
OD. Function g has a horizontal asymptote at y = -2 and a vertical asymptote at = 5.

Answers

Answer:

A

Step-by-step explanation:

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

What is vertical asymptote?

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

here, we have,

We have to determine

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph;

The straight-line x=6 is a vertical asymptote of the graph of the function  if at least one of these conditions is true:

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

To know more about vertical asymptote, click the link given below.

brainly.com/question/1491466

#SPJ7

Help I'm not good at this :))

Answers

Step-by-step explanation:

1 yes it is rational

2 not

3yes

4 not

5 yes

winstons family is making 4 pizza's for dinner. they have 1 over 2 of a pound of shredded cheese and put an equal amount on. rach pizza how many pounds of cheese do they put on each pizza?

Answers

Answer:

1/8

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4 divided by 1/2

Ey pls help me anyone pls

Answers

Answer:

we cant read the whole question so I cant help you.

Step-by-step explanation:

Answer:

I will do 1-4 and explain because I dont have the time to do all of this.

1=130 2=130 3=134? 4=63 Just add up the numbers and subtract them from either 90 180 or 360, how to know which number to add up to is easy, just see if the sum of the numbers added makes a number above one of those numbers, for example if you find one that the sum is larger then 90 but smaller then 180 then subtract the sum from 180.

Step-by-step explanation:

0.43
decimal place(s)
X 0.2
decimal place(s)
0.086
decimal place(s)

Answers

if you’re checking to see if this is correct, it is!

I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest if you get a chance:)

Simplify: 3!
A) 3
B) 6
C) 1
D) 5

Answers

3! = 3 • 2 • 1 = 6

Therefore, the correct answer is B: 6

Please mark my answer as the Brainliest if you find this solution helpful :)

3^3+(4^3-7^2+3)divided by3^2 what is the answer to the equation

Answers

Answer:

29

Step-by-step explanation:

janelle earns $9 an hour and works 25 hours per week. 26% of her pay goes towards taxes. she is hoping to buy her first car 8 months from now for $3,200. Write a smart goal for janelle so she will know how much money to set aside each month in order to reach her goal.

Answers

Answer:

25

Step-by-step explanation:

Please help please help please help please help

Answers

9514 1404 393

Answer:

  (c)  factoring and the zero-product principle

Step-by-step explanation:

Factoring is always an efficient method of solving a quadratic, if it has nice integer factors that can be easily identified. Here, the two prime factors of 35 have a sum of 12, so the factored form is easily found to be ...

  (x +5)(x +7) = 0

This basically shows you the solutions are x=-5 and x=-7 "by inspection" in one step.

By contrast, the quadratic formula has 4 multiplications, a division, a square root, and 3 additions. That's a significant amount of arithmetic to get to the answers.

Factoring is the most efficient way to solve this quadratic.

Someone help, please solve this and explain

Answers

Answer:

A

Step-by-step explanation:

Perimeter = 2W + 2L

134 = 2(29) + 2x

134 - 58 = 2x

x = 76/2

x = 38 (length)

A = 2L + 2(29) >= 134 (more or equal = >=)

PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER

Answers

-3(p-q)²p=5 q=-2= -3(5-(-2))²= -3(5+2)²= -3(7)²= -3×49= -147

please mark this answer as brainlist

The three paths intersect in pairs at the points A, B, and C.

Answers

Answer:

Not a complete question... Sorry

You have a bag containing 3 red, 7 green, and 6 blue pens. you choose 2 pens at random. find the probability of picking a red and blue pen with replacing.​

Answers

Answer:9/16

Step-by-

its 9/16 because in total there 16 pens so the  the probabillty of getting a red  and blue pen is combined the amount there is and you put the total number  of pens as the denominator

Evaluate.
-3+ (9+6) : (-3)
o 4
0-2
0 - 4
оо
1
2.
3
4
5
6
7

Answers

Answer:

-8

Step-by-step explanation:

brackets first division second and addition third

The correct solution of the expression -3 + (9+6) ÷ (-3) is,

⇒ - 7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒  -3 + (9 + 6) ÷ ( -3 )

Now, We can simplify the expression by using BODMAS rule as;

⇒ - 3 + (9 + 6) ÷ ( -3 )

⇒ - 3 + 12 ÷ (- 3)

⇒ - 3 - 4

⇒ - 7

Thus, The correct solution of the expression -3 + (9+6) ÷ (-3) is,

⇒ - 7

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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1) Convert 0.469 dam to cm.

Answers

the answe is 469 CM!

Which of the following could be the number shown on the number line?
A. √24
B. √27
C. √20
D. √26​

Answers

Answer: (A) 24

Step-by-step explanation:

36. Is 12 a divisor of 48?

Answers

Yes it would be a divisor

Answer:

yes

Step-by-step explanation:

a divisor is a number that you use to divide another one. 48 divided by 12 is 4. Therefore, 12 is a divisor of 48

solve inequality (i need gelo with this )

Answers

Answer:

Interval Notation : ( -3, ∞)

Step-by-step explanation:

graph:

What is the sum of 3/7 + 1/3

Answers

Answer:

16/21

Step-by-step explanation:

1) Find the least common denominator (LCD) of 3/7,1/3. In other words, find the Least Common Multiple (LCM) of 7,3.

LCD=21

2) Make the denominators the same as the LCD

[tex]\frac{3*3}{7*3} +\frac{1*7}{3*7}[/tex]

3) Simplify. Denominators are now the same.

[tex]\frac{9}{21} +\frac{7}{21} \\[/tex]

4) Join the denominators

[tex]\frac{9+7}{21}[/tex]

5) Simplify

[tex]\frac{16}{21}[/tex]

Answer:

[tex]{ \tt{ \frac{3}{7} + \frac{1}{3} }} \\ \\ = { \tt{ \frac{(3 \times 3) + (7 \times 1)}{21} }} \\ \\ = { \tt{ \frac{9 + 7}{21} }} \\ \\ = \: \dashrightarrow \: { \tt{ \frac{16}{21} }}[/tex]

(-4,6) slope 3/4 written in slope intercept form

Answers

Answer:

y=3/4x+9

Step-by-step explanation:

it is right   trust me.

Which statement explains why 13x−13y=−26 shares a solution with this system of equations:

10x−3y=29

−3x+10y=55

Answers

The given equation is derivable from the system of equations.

Response:

The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.

Method by which the relationship between the equations was determined

Given:

The system of equation is presented as follows;

[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]

Therefore, by subtracting equation (2) from equation (1), we have;

(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions

13·x - 13·y = 29 - 55 = -26

13·x - 13·y = -26, which is the given equation

Given that the operation performed on equation (1) and (2) is the

subtraction of equivalent expressions, we have, that the solution for the

given equation, 13·x - 13·y = -26 is the same as the solution for given

system of equations.

The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;

D. because -3·x + 10·y is equal to 55, I can subtract -3·x + 10·y from the left side of 10·x - 3·y = 29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equation

Learn more about simultaneous equations here:

https://brainly.com/question/10724274

Will mark BRAINLIEST if correct

Answers

Answer:

the answer is 9 square meters

Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies, how many cookies does he bake?

Answers

Answer:

Mr. Alcazar baked 810 cookies.

Step-by-step explanation:

Given that Mr. Alcazar bakes 6 batches of 60 cookies and five batches of 90 cookies, to determine the amount of cookies that he cook, the following calculation must be performed:

(6 x 60) + (5 x 90) = X

360 + 450 = X

810 = X

Therefore, according to the calculation that has been made, Mr. Alcazar baked 810 cookies.

A
,
B
and
C
form a triangle where

B
A
C
=
90

.
A
B
=
12.1
mm and
B
C
=
19.7
mm.
Find the length of
A
C
, giving your answer rounded to 1 decimal place.

Answers

Answer:

15.5 mm

Step-by-step explanation:

Given:

ΔABC with ∠BAC = 90°, AB = 12.1 mm, BC = 19.7 mm

Since BC is opposite to right angle, AC is the missing leg.

Find AC using Pythagorean:

[tex]AC = \sqrt{BC^2-AB^2} =\sqrt{19.7^2-12.1^2} =\sqrt{241.68} =15.5 mm[/tex]

What is the answer to 0.2x10=

Answers

0.2 × 10 = 2

u can check a calculator

Given: 3x < 3. Choose the solution set. {x | x < 1} {x | x > 0} {x | x < 0} {x | x > 1}

Answers

9514 1404 393

Answer:

  (a)  {x | x < 1}

Step-by-step explanation:

Given ...

  3x < 3

You can find the solution by dividing both sides by 3:

  (3x)/3 < 3/3

  x < 1

Written in your given notation, this is ...

  {x | x < 1}

50 units needed 12 units per case

Answers

Answer:

5 cases

Step-by-step explanation:

Since 12 does not go into 50, you need to buy a whole extra case.

12*4= 48, which is not enough for 50 units

5. Mohammed is shopping for gifts. He compared prices at two stores so he could get
the best deals. Which store is cheapest per unit for greeting cards ?
Gift Prices
Gift
handkerchiefs
greeting cards
ballpoint pens
audiocassette tapes
Darren's Warehouse
package of 10 for $11.00
package of 8 for $9.99
one dozen for $9.60
one dozen for $13.20
U-Rule Department Store
package of 3 for $3.75
package of 3 for $5.49
2 for $1.59
5-pack for $5.95
A Darren’s Warehouse
B U-Rule Department Store

Answers

Answer:

Thus, it is cheaper at Darren’s Warehouse.

Step-by-step explanation:

Package of 8 at Darren’s Warehouse for $9.99

Package of 1 at Darren’s Warehouse for $9.99/8=$1.24875

Package of 3 at U-Rule Department Store for $5.49

Package of 1 at U-Rule Department Store for $5.49/3=$1.83

Thus, it is cheaper at Darren’s Warehouse.

134.$

ga tau gw di sini uang ya Rp bukan dolar ya kecuali solar atau dolar kuning

Jackson bought an ultra-slim Television. The screen measures 13 cm in length and 12 cm in width. Television screen sizes are decided by the length of the diagonal. What is size of this screen? Round your answer to the nearest whole number.

Answers

Answer:

18 cm

Step-by-step explanation:

You can find the length of the diagonal by using the Pythagorean theorem.

a^2 + b^2 = c^2

12^2 + b^2 = c^2

144 + 169 = c^2

c^2 = 313

c = √313

c = 17.6918...

Answer: 18 cm

Easy Math please help

Answers

Answer:

5, i think

Step-by-step explanation:

1. 3x = 15 and divide all by 3 (the number with a variable or letter

i’m pretty sure it is 5
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