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

Hellooooooo I need help with this !!!!!

Answers

Answer:

c. 270m^3

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.

6×5×9

30×9

270

The distance from Ellen's home to her school is 4 miles. If she has already traveled 2 miles, how far does she have to go?​

Answers

Answer:

6 miles

Step-by-step explanation:

what is the inverse of g?
g(x) = 3/x+7

Answers

Given function :-

[tex]\bf \implies g(x) = \dfrac{3}{x}+7[/tex]

To find its reverse , substitute y = g(x) .

[tex]\bf \implies y = \dfrac{3}{x}+7[/tex]

Interchange x and y .

[tex]\bf \implies x = \dfrac{3}{y}+7[/tex]

Solve for y .

[tex]\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7} [/tex]

Replace y with f-¹(x) .

[tex]\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}[/tex]

Your itinerary contains a grid map of New York, with each unit on the grid representing 0.25 miles. If the Rockefeller Center is located at (2,−1) and Central Park is located at (7,−6), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in miles? Round your answer to two decimal places, if necessary.

Answers

Answer:

Its 5

Step-by-step explanation:

5 mhm.

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer:

8 nights

Step-by-step explanation:

First, you have to find out how many centimeters she knits per night and that can be found by dividing 42 by 6

You get 7, and then you find out how many times 7 must be repeated to make 56

Therefore you get 8 nights

Evaluate the expression.
{[(20 – 32) = (-6)}? – 11} = (–7)
What is the value of the expression?
Enter your answer in the box.

Answers

{ [(20-32)÷(-6)]²-11 }÷(-7)= { [-12÷(-6)]²-11}÷(-7)= { [2]²-11}÷(-7)= { 4-11}÷(-7)= -7÷(-7)= 1

please mark this answer as brainlist

The value of the numerical expression {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7) will be 1.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7)

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7)

⇒ {[(–12) ÷ (–6)]² – 11} ÷ (–7)

⇒ {[2]² – 11} ÷ (–7)

⇒ {4 – 11} ÷ (–7)

⇒ (– 7) ÷ (–7)

⇒ 1

The value of the numerical expression {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7) will be 1.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

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Which type of rock is shown in each of these photographs?

Answers

Answer:

igneous

Step-by-step explanation:

igneous rocks are made out of molten lava or magma

Answer:

sedimentary rock/igneous rock and Metamorphic rock

Step-by-step explanation:

Solve pls brainliest!

Answers

V+18 it would be the last one on the top right

Answer:

18 + v = 67

Step-by-step explanation:

v represents Victor's age, and 18 more than it is 67.

Add 18 to Victor's age, resulting in 67.

The equation is 18 + v = 67.

Which of these is a correct statement about the function graphed below?
5
A. Its equation is y = 2x, so it is not a linear function.
B.
Its equation is y = 2x, so it is a linear function.
c. Its equation is y
2", so it is not a linear function.
D. Its equation is y
2", so it is a linear function

Answers

Answer:

C

Step-by-step explanation:

It curves so it automatically means it isn't any of the answers that say it is.

Numbers with variable powers are NEVER linear, so it is C.

Given triangle TVU list the sides of the shortest to longest

Answers

Answer:

VU, VT, TU

Step-by-step explanation:

List the side lengths of triangle TUV from shortest to longest.

A. VU, VT, TU

B. VT, TU, VU

C. VT, VU, TU

D. VU, TU, VT"

Graph the lines: y= 4x, y = – 4, and x = - 2.

Answers

How can we answer this
Attached is a screenshot of the graphed lines.

I graphed the line, y = 4x, by using the y-intercept (0 ,0), and used the slope (m = 4) to plot other points: {(-1, -4), (1, 4)}.

For y = -4, it is a horizontal line (y = b) with a zero slope. Therefore, regardless of the x-value, its corresponding y-coordinate will be the same (y = -4). To graph the line for y = -4, start at y = -4 and create a horizontal line from there.

For x = -2, it is a vertical line (x = a) with an undefined slope. A vertical line has undefined slope because all points the line have the same x-coordinate. Thus, regardless of the y-value, its corresponding x-coordinate will always be x = -2. To graph the graph, I started at point (-2, 0), and created a vertical line from there.

Please mark my answers as the Brainliest if you find my explanations helpful :)

help meeee again ¾÷⅕ =

Answers

Answer:

decimal: 2.25

fraction: 9/4

Step-by-step explanation:

Answer:

Fraction: 15/4

Decimal: 3.75

70 of 38.20 is what

Have to write at least 20 words sooo

Answers

26.74. I’m assuming you are asking what 70% of 38.20 is. 38.20 x 0.70 = 26.74

Read The Question in the PNG

Answers

9514 1404 393

Answer:

  A. dollars = euros × 0.75

  B. the exchange rate is the slope of the graph

Step-by-step explanation:

A. The graph indicates 1 euro will be exchanged for 0.75 dollars, or 4 euros for 3 dollars.

__

B. This exchange rate is the slope of the line on the graph: 0.75 dollars per euro.

HELP LAST ATTEMPT !?!!

Answers

Answer:

x=21

Step-by-step explanation:

10+2x+128=180 [Angles in a straight line]

2x=180-138

x=42/2

x=21

The ages of three brothers are consecutive, even integers. If the sum of the first even integer, three times the second even integer and twice the third even integer is fifty. Find the ages of all three brothers

Answers

Answer:

The ages of all three brothers are 4,6,8 years.

Step-by-step explanation:

Here n is the smallest of the three consecutive even integers, the condition gives you this equation

2n + 3*(n+2) + (n+4) = 34.

2n + 3n + 6 + n + 4 = 34

6n = 24

n = 4.

Answer. The ages are 4, 6 and 8 years.

Hope this helps you.

The ages of the three brothers are 6, 8, and 10 years, respectively.

How to determine ages of the three brothers

Let the ages of the three brothers be \(x\), \(x+2\), and \(x+4\).

The sum of the first even integer, three times the second even integer, and twice the third even integer is fifty:

\[x + 3(x+2) + 2(x+4) = 50\]

Simplify the equation:

\[x + 3x + 6 + 2x + 8 = 50\]

Combine like terms:

\[6x + 14 = 50\]

Subtract 14 from both sides:

\[6x = 36\]

Divide by 6:

\[x = 6\]

So, the ages of the three brothers are 6, 8, and 10 years, respectively.

Learn more about integer at https://brainly.com/question/17695139

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which relation is the function?

Answers

Answer:

A is function.

Step-by-step explanation:

(10)/(4)<(z+8)/(2)<(22)/(4)

Answers

Answer:

-3 < z < 3

Step-by-step explanation:

×4

10 < 2z + 16 < 22. -16

-6 < 2z < 6. ÷2

-3 < z < 3

Evaluate.
-11.9
-1
Enter your answer in the box.

Answers

-11.9 -1 = -12.9

Your answer is negative 12.9

Answer:

-12.9

Step-by-step explanation:

Hope this helps you! :)

A square with 20 meters shown as 12 centimeters, how long would a girder appear 15 meters long?

Answers

9.6 centimeters

EXPLANATION

20 meters = 12 centimeters

15 meters = x

20 meters/12 centimeters = 15 meters/x

20 meters/0,12 meters = 16 meters/x

1666.66 = 16 meters/x

x = 16 meters : 1666.66

x = 0.096 meters

x = 9.6 centimeters

#LearnWithEXO

Same question, but different answer option.
I definitely need help with this math problem.

Which expression is equivalent to 10f-5-5f+2?
15f-3 5f-7
15f-7 or -3+6f

Answers

Answer:

5f - 3, I'm assuming there was a typo in the answer choices.

Step-by-step explanation:

10f - 5f + 2 - 5

5f - 3

What is the quotient? −4 1/2÷(−2 2/3)

Answers

1 11/16 i think, sorry if i’m wrong

mrs. jenningswants to take her kids on a field trip to the musem. the bus cost a total 100 and the meusem will charge 2 per student. what is the maximum number od students that mrs. jennings cantake to the meusem without exceeding her budget of 150

Answers

On a budget of $150, Mrs. Jennings will only be able to take 25 kids to the museum.

Mrs. Jennings has $150 in total and has to spend it on the bus and getting the kids into the museum.

After she spends on the bus, she will be left with:

= Budget - Cost of bus

= 150 - 100

= $50

She then spends $2 per kid. The total number of kids she can bring into the museum is:

= Amount remaining/ Cost per kid

= 50 / 2

= 25 kids

In conclusion, she can only take 25 kids.

Find out more at https://brainly.com/question/139108.

How are x and y related in the equation 7 (x - y) = 0?
O = -Y
O x=y
O 7x = y
O 7x = -Y

Answers

b is the correct answer, i believe

Orlando bought a new couch for 1,968, using the furniture store's finance plan. He will pay 164 a month for 12 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?

a) y = 164x - 1,968
b) y =1,968 - 164x
c) y = 164x
d) y= 1,968 + 164x

Answers

Answer:

B

Step-by-step explanation:

Total(1,968) - x(164) = new value

It’s B because u need to subtract the total money he needs to pay (1968) from how much he is paying a month (164x) to get how much he still needs to pay have a good day

PLS HURRY WILL GIVE BRAINLIEST!

Answers

Answer:

Y=-3/1x+7

Step-by-step explanation:

-3/1 is the slope, which is negative, and 7 is the y intercept ( the value that is marked at the middle of the y-axis).

Use function notation to write the equation of the line. PLEASE ANSWER ASAP

Answers

Answer:

option 2: f(x) = 4x + 4

Step-by-step explanation:

Graph is positive, so with this you should already know that options: 1, 3, 4 are incorrect since those are negative.

However, let's break it down more.

To write the function for a line, you use y = mx+b

m stands for the rise/run

b stands for the y-intercept

Rise over run is 4/1, or just 4

With this we know that option 3 is not correct, yet again

Our y intercept is 4

With this we know that option 1 is not correct, yet again

This just leaves option 2 and 4 with the correct slope and y-intercept, yet as we said before this is a positive slop, so again, 4 is incorrect

if Austin burns 120 calories per 30 minutes of weight training how many calories would he burn in 10 minutes?

please help I have a test in 1 hour and I need to know this by then!

Answers

Answer:

40 calories per 10 min

Step-by-step explanation:

Because 30 divided by 3 is 10 and 120 divided by 3 is 40

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer:

722 kg

Step-by-step explanation:

551:29=x:38

551*38=29x

20938/29=x

x=722 kg

You can find the volume of a box by
multiplying its height by its width by its
depth.
You are given a box in the shape of a
cube. Each edge measures 5 cm.
a) Write an expression for the volume
of the box using a power.
b) Calculate the volume of the box.

Answers

Answer:

A

Step-by-step explanation:

ez

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