What is the remainder when 2x^3−9x^2+11 is divided by x−6?

Answers

Answer 1

Answer:

119

Step-by-step explanation:

Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus

f(6) = 2(6)³ - 9(6)² + 11

     = 2(216) - 9(36) + 11

     = 432 - 324 + 11

     = 119 ← remainder


Related Questions

what is 20*5 yay plz help me anwer this

Answers

Answer: 100. Can I get a Brainlest.

100 is the answer

Multiply.....

God Bless

The function h(n) gives the number of person-hours it takes to assemble n engines in a factory. What is a reasonable domain for h(n)?

Answers

Answer:

For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.

Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher.
How old is Ishaan?

Answers

Answer:

Ishaan is 21. Christopher is 7.

Answer:  Ishann is 21 years old.

Step-by-step explanation:

In this situation, we will represent Ishaan age by the variable  y and we will represent Christopher's age by x.

Ishaan is 3 times as old as Christopher and that can be represented by the equation,   y = 3x  

He is also 14 years older, and it can also be represented by the equation,  

y = x + 14.  

y= 3x

y = x + 14  

Using both equations, substitute the value of y in one of the equations into the other.

x + 14 = 3x                   Solve for x .

-x           -x

 14 = 2x  

  x = 7  

This means that Christopher is 7 years old.

To solve for Ishaan's age , input the value of x into one of the equations.

 

y = 3(7)

y = 21.

Mikaila collected 27 pounds of glass bottles to bring to the recycling center. she also collected 400 ounces of newspapers and 160 ounces of aluminum cans. what is the total weight of the items Mikaila brought to the recycling center? write your answer in ounces. think you❤!

Answers

The total weight of the items Mikaila brought to the recycling center is 992.

[tex]\sqrt{8}+\sqrt{18}-\sqrt{32}[/tex]

Answers


√8+√18−√32
√2^2·2+√3^2·2−√2^4·2
√2^ 2·√2+√3^2·√2−√2^4·√2


√2 is the answer

What is the best estimate of the measure of the angle shown?

Answers

*answer was incorrect please see below*                                                                                                    

141°
as the angle is obviously larger than 90°, but not large enough to be 171° as if it were so it would be closer to a straight line (since 171° is closer to 180°) hence, the answer is 141° as it is the only option in between.

Find the slope of the line. Explain or show your reasoning.
Write an equation for the line.


Find the values for and . Explain or show your reasoning.

Answers

what are the points?

Is this true or false? Pls help a dumb person out

Answers

it shows that the chart is false. Hope it helps

who good at math? , cuz i need help .

Answers

Answer:

what kind of math?

Step-by-step explanation:

Answer:

It depends your grade, but I might be able to help.

Step-by-step explanation:

What type of math?

What is the nature of the solution set to the following system of equations?
5x - y = 2
2x-0.5y=3​

Answers

Answer:

u can use substitute or eliminate

The Ride-It Store rents bicycles.The cost is $8.50 for 1 hour, $13.65 for 2 hours,$18.80 for 3 hours, and $23.95 for 4 hours.If the pattern continues, how much will it cost Nate to rent a bike for 6 hours?

Answers

Answer:

in six hours it would be $34.25

Step-by-step explanation:

The computation of the total cost for 6 hours is shown below:

For one hour it would be $8.50

For two hours

= $13.65 - $8.50

= $5.15

For three hours

= $18.80 - $13.65

= $5.15

For four hours

= $23.95 - $18.80

= $5.15

For five hours

= $23.95 + $5.15

= $29.10

For six hours

= $29.10 + $5.15

= $34.25

Hence, in six hours it would be $34.25

Graph the line
y=-2x=2

please hurry!

Answers

Answer:

-1,0

0,-2

slope is -2/1

Answer:

View the Screenshot that I have sent.

what is the x variable and y variable? ​

Answers

Answer:

x is the hours worked and y is the money earned

Step-by-step explanation:

Usually the x variable is the independent variable

The independent variable is the variable that does not rely on anything

The y variable is the dependent variable

The dependent variable is the variable that relies on the independent variable

In this case the money earned depends on how many hours you work for

I hope this helps :)

Answer:

I believe that it would be x is hours worked and y is dollars earned but I could be wrong I skipped a year of math because I completed it so quickly now I cant remember some stuff

Marching Bands: In how many ways can four marching bands and three floats line up for a paradeif two bands cannot march next to one another?

Answers

Answer:

There's 6 ways the boats can line up for the parade.

Step-by-step explanation:

Feel free to give brainliest.

Have an outstanding day!

Solve the following functions:

f(x) = 20x - 90 find f (x) = 10

Answers

Answer:

x=5

Step-by-step explanation:

Solve: 4-(9g-5)=-27 please help

Answers

Answer:

-2

Step-by-step explanation:

9g-4-5=-27

9g-9=-27

Add 9 to both sides

9g=-18

g=-2

Answer:

-18

if you need more info. just search up you question on Google and click the first link

A circle is inscribed with 5 lines. The center of the circle is labeled point O. Four lines extend from point O. One connects to point W on the edge of the circle. The second line extends past the circle edge through point X on the edge. The third extends past the circle edge through point Z. The fourth extends past the circle edge through point Y. A line connects points W and X. The angle created by ray OX and ray OZ is angle . The two rays that create YOX are ray OX and ray . The center of the circle is point .

Answers

Answer:

XOZ

OY

O

Step-by-step explanation:

just took it on edge

Natalia and her friends held a bake sale to benefit a local charity, friends sold 15 cakes on the first dayand 22 cakes on the second day of the bake saleThey collected $60 on the first day $88 on the second day Write an equation to represent the amount R Natalia and her friends raised after selling c cakes .

Please i need this asap it’s due in 15 minutes!! I will give brainliest to whoever gets it right first!!

Answers

the answer should be R=c(4)

Julie buys a new shirt. The original price of the shirt is $35.00, but it is on sale for 25% off. There is a 7% tax on the shirt. How much will Julie pay for the shirt?

Answers

Answer: $24.08

Step-by-step explanation: 25% off $35.00 is $22.50

and adding 7% tax which equals $1.50

so it adds up to 24.08

A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
A 3
B 4
C 5
D 6
E 8

Answers

Answer: B: 4

Step-by-step explanation:

A number is divisible by 15 if the number ends on a 0 or a 5, and the sum of its digits is divisible by 3.

We want to find a 5 digit flippy number, this can be: modeled with:

N = ababa

Where a and b are single digit numbers.

If we impose that N must end with a zero, then we will have:

N  = 0b0b0 = b0b0

This is a 4-digit number, so we can discard all the options that end with a zero.

Then the only option that we have are the numbers like:

B = 5b5b5

This number will be only divisible by 15 if:

5 + b + 5 + b + 5 = K is divisible by 3.

Then let's try find the possible values of b.

K = 3*5 + 2*b

K has two terms, the left term is already divisible by 3, then K will be divisible by 3 only if the other term is also divisible by 3.

Then we want 2*b to be divisible by 3.

And 2 is a prime number, then b must be divisible by 3, and we know that b is a number between {0,1 , 2, 3, 4, 5, 6, 7, 8 ,9}

The options are:

2*0 = 0 is divisible by 3.

2*3  = 6 is divisible by 3.

2*6 = 12 is divisible by 3

2*9 = 12 is divisible by 3.

Then we have four values of b such that:

N = 5b5b5 is divisible by 15.

Then the correct option is: B: 4

pleaseeeee helpppppp​

Answers

Answer:

BCE

Step-by-step explanation:

I hoped this helped and mark me as brainly pls

Answer:

a c b d

Step-by-step explanation:

subtract (7x^5-12x^2y+33y^2) from (5x^5-5x^2y+9y^2) simplify your results:

Answers

Answer:

- 2 [tex]x^{5}[/tex] + 7x²y - 24y²

Step-by-step explanation:

( 5 [tex]x^{5}[/tex] - 5x²y + 9y² ) - ( 7 [tex]x^{5}[/tex]  - 12x²y + 33y² ) =

5 [tex]x^{5}[/tex] - 5x²y + 9y² -  7 [tex]x^{5}[/tex]  + 12x²y - 33y² =

( 5 [tex]x^{5}[/tex] - 7 [tex]x^{5}[/tex] ) + ( - 5x²y + 12x²y ) + ( 9y² - 33y² ) =

- 2 [tex]x^{5}[/tex] + 7x²y - 24y²

Add a researcher compared the Heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where X is the shoe size and why is the height, in inches (y=1.6x + 58)

Answers

Complete question :

a researcher compared the Heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where X is the shoe size and y is the height, in inches (y=1.6x + 58)

Based on the equation, what is the approximate shoe size for a man having a height of 60 inches

Answer:

1.25

Step-by-step explanation:

Given the regression equation :

y=1.6x + 58

X = shoe size ; y = height

Using the equation, the approximate shoe size of a man with a height of 60 will be ;

60 = 1.6x + 58

60 - 58 = 1.6x

2 = 1.6x

2/1.6 = 1.6x / 1.6

x = 2 / 1.6

x = 1.25

Hence, approximate shoe size of a man with a height of 60 will be 1.25

PlS HELP QUICKLY :One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.:
Guys pls help and find what C is equal to.

Answers

Answer:First suppose that the roots of the equation

x2−bx+c=0(1)

are real and positive. From the quadratic formula, we see that the roots of (1) are of the form

b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2.

For the root or roots to be real, we require that b2−4c≥0, that is, b2≥4c. In order for them to be positive, we require that

b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0.

This immediately tells us that b>0, but we can go further. We can rearrange this to get

b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,

which (assuming that b>0) is true if and only if

b2>b2−4c,

since both sides of the inequality are positive so we may square. But then

4c>0.

That is, if the roots are real and positive then b>0 and b2≥4c>0.

Now suppose that b>0 and b2≥4c>0.

Then the roots of (1) are real since b2−4c≥0, and b>0 guarantees that the root b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√ is positive.

So it remains to show that b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0. We have that

4c>0,

so that

b2>b2−4c,

then square rooting shows that

b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,

so the roots of (1) are real and positive, as required.

Approach 2

the curve y equals x squared minus b x plus c showing two positive roots for y equals zero

This is intended to be a proof without words! We have from the diagram that:

If c, b and b2−4c are all positive, there are two real positive roots for x2−bx+c=0 (if b2=4c, we have two real positive equal roots).

If there are two real positive roots for x2−bx+c=0, then c and b are positive and b2−4c is non-negative.

(Why is the distance between the roots b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√?)

Approach 3

When solving problems about the roots of polynomials, it is often useful to find expressions those roots must satisfy and see if this tells us anything new. If α and β denote the roots of the equation, then

x2−bx+c=(x−α)(x−β)=x2−(α+β)x+αβ

and so α+β=b and αβ=c.

We also know that the roots of a quadratic equation are real if and only if the discriminant is non-negative, that is, if and only if b2−4c≥0.

Using these facts, if α and β are both real and positive, then b=α+β>0, c=αβ>0 and b2≥4c, as above.

Conversely, if b>0 and b2≥4c>0, then we know the discriminant is positive and hence both roots are real. We also have that

αβ>0(2)

and

α+β>0.(3)

As α and β are both real, by (2), we know that α and β are either both positive or both negative. However, if α and β were both negative, then (3) could not possibly hold. Hence α and β are both positive, as required.

We now sketch on a graph the region where b>0, c>0 and b2≥4c:

The curve b squared = 4 c as a quadratic with the c-axis vertical and the b-axis horizontal. The region below it is shaded.

The region of the b-c plane for which b>0, c>0 and b2≥4c

Sketch the region of the b-c plane in which the roots of the equation are real and less than 1 in magnitude.

We know that in order for the roots to be real we need b2≥4c as in the first part. We now need to find the region where

−1<b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.(4)

We have b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2≤b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2 so we only need to consider the values for which both

−1<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2andb+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.

Firstly, we will consider the values for which

b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2.

Rearranging gives

b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2−b.

So b<2, as the square root is non-negative, and we can square both sides to get

b2−4c<4−4b+b2,

which we may rearrange to find c>b−1.

We will now consider the values for which

−2<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√.

Similarly, we can rearrange to get

b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<b+2.

So b>−2, and we can, as before, square to get

b2−4c<b2+4b+4,

and hence c>−b−1.

To sketch the graph, we start by considering the boundary curves b2=4c, c=b−1 and c=−b−1, and the points at which they intersect. We can see that the two lines only intersect when b=0 and c=−1, and the lines intersect the curve when

b2=4b−4andb2=−4b−4

which rearrange to

(b−2)2=0and(b+2)2=0.

This tells us that each line intersects with the curve in only one place and so these lines must be tangent.

Is there a way we could have deduced this directly from (4)?

What do the lines being tangent signify in terms of our equation x2−bx+c=0?

Is this a representation of a well-known property of these equations?

Sketching the graph then yields the following picture:

The graph with the previous curve and the lines 4 c = 4 b minus 4 and 4 c = minus 4 b - 4. Each line touches the curve once and the two lines intersect at (0, minus 1). The region between the three lines/curves is shaded.

The shaded region is where b2≥4c, c>b−1, c>−b−1 and −2<b<2

We might notice that when we derived the inequalities c>b−1 and c>−b−1, a lot of the work we did was very similar.

We might also notice that the graph above is symmetric about the c axis. Why is this?

Does the graph give us any ideas about how we might deduce one inequality from the other?

Step-by-step explanation:

what is the percent of change between 57000 people and 97000 people, and how do I solve it? ​

Answers

Answer:

58.76

Step-by-step explanation:

So, as you can tell 97,000 is the 100 percent of the people, in this case we don't know what 57,000 is. Just divide equation 1 by equation 2. Considering both have the same unit. I'm so sorry, if this doesn't explain the best way.

WILL GIVE BRAINLIEST. Will report if answer is absurd What is the trademark of a linear table?

Answers

Answer:

You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference.

Step-by-step explanation:

Hope this helps!

This is the problem that I need help with please. :)

Answers

Answer:

umm I think it 186

Step-by-step explanation:

Letters used in the word mathematics

Answers

Answer:

In this case, there are 11 letters in the word 'mathematics'; three letters appear twice: m, a, and t.

Step-by-step explanation:

I don't know why you want this but there you go

The polygons to the right are similar. Find the values of each variable! ( simplify ur answer)
Help mee please i have a headache

Answers

Answer:

hi! i'm so sorry about your headache, hope it gets better !

still need help?

Step-by-step explanation:

At the annual dog show, Chantel noticed that there were three more Scotties than Schnauzers. She also
realized that the number of Wirehaired Terriers was five less than twice the number of Schnauzers. If there
were 78 dogs in all (counting Schnauzers, Scotties, and Wirehaired Terriers), how many Schnauzers were
there? Write and solve an equation.

Answers

9514 1404 393

Answer:

(s+3) +s +(2s-5) = 7820 Schnauzers

Step-by-step explanation:

Each of the quantities is described in terms of the number of Schnauzers, and that is the number we are asked for. It is convenient to write an equation for the number of Schnauzers. We choose to use s for the variable representing that number.

  s = # of Schnauzers

  s+3 = # of Scotties, 3 more than the number of Schnauzers

  2s-5 = # of Wire-haired Terriers, 5 less than twice the number of Schnauzers

The total number of dogs is then ...

  (s+3) +(s) +(2s-5) = 78

  4s -2 = 78 . . . . simplify

  4s = 80 . . . . . . add 2

  s = 20 . . . . . . . divide by 4

There were 20 Schnauzers at the dog show.

Other Questions
I NEED HELP!Who wrote the Virginia Statute for Religious Freedom? slope from two points What is the y-intercept of f(x)= (3/5)^x? which good was the best to sell and why Why do people pretend they have depression, Depression is not something to joke about round 6.24159 to the nearest hundredths Quilcene Oysteria farms and sells oysters in the Pacific Northwest. The company harvested and sold 7,200 pounds of oysters in August. The companys flexible budget for August appears below: Quilcene Oysteria Flexible Budget For the Month Ended August 31 Actual pounds (q) 7,200 Revenue ($4.20q) $30,240 Expenses: Packing supplies ($0.35q) 2,520 Oyster bed maintenance ($3,300) 3,300 Wages and salaries ($2,000 + $0.35q) 4,520 Shipping ($0.65q) 4,680 Utilities ($1,290) 1,290 Other ($460 + $0.01q) 532 Total expense 16,842 Net operating income $13,398 The actual results for August were as follows: Quilcene Oysteria Income Statement For the Month Ended August 31 Actual pounds 7,200 Revenue $27,200 Expenses: Packing supplies 2,690 Oyster bed maintenance 3,160 Wages and salaries 4,930 Shipping 4,410 Utilities 1,100 Other 1,152 Total expense 17,442 Net operating income $9,758Required:Compute the companys revenue and spending variances for August. The image shows the Grand Canal in China.A number of small boats and larger ships are traveling down a narrow passageway of water.What does the picture show about one of the main points of Legalism?The number of ships suggests that production and transportation were major focuses.The small boats suggest that competition limited trade.The large boats suggest that only the rich could travel.The number of ships suggests that peasants and farmers were able to enjoy more leisure time. Ruth decides to use the method of proportions and similar triangles to find the height of a tree. She measures the length of the tree's shadow and finds it is 12 feet long. Then she holds a 12-inch ruler perpendicular to the ground and finds that it casts a 6-inch shadow. How tall is the tree? a. 2 ft c. 24 ft b. 6 ft d. 144 ft Andrea's boss has been sexually harassing her at work. Which effect is most likely happening? Set up an equation (part + part = whole). Solve the equation to find the value of x. 10 + x + x + 20 = 12 What can we conclude about similarities and differences in short-term and long-term memory based on the way coding occurs in both? Which property of water allows it to moderate the temperature of nearby areas of land by resisting temperature changes? How is this important for living organisms? If nitrogen and hydrogen combine in a combustion reaction, what would the product of the reaction be?CH4 + 2O2 ____2 + 2H2O there are 4 circles and 16 squares. What is the simplest ratio of circles to total shapes? According to most scholars, the very first humans to came to North America from Asia around 20,000 years ago. The rate of 225 mi in 7 hr written as a unit rate Multiply 986 and 19 together. Round to the nearest hundredth when necessary. In your own idea, how rational choice theory helps you to be rational in decision making ? All of the following are characteristics of drug cartels except __________. A.they often use murder and violence to get what they wantB.they control the trade of illegal drugs in a regionC.they are extremely organizedD.they are always small groups composed of just a few people