Find a degree 3 polynomial having zeros -1,2 and 7 and the coefficient of x^3 equal 1.

Answers

Answer 1

Answer:

[tex]x^{3}-8x^{2} +5x+14[/tex]

Step-by-step explanation:

n=3

f(x) = (x-(-1))(x-2)(x-7)

=(x+1)(x-2)= [tex](x^{2} -x-2)[/tex](x-7)=[tex]x^{3}-8x^{2}+5x+14[/tex]


Related Questions

Write a equation
3. slope = 5, goes through the point (2,7)

Answers

Answer:

y=5x-3

Step-by-step explanation:

Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b

Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept

7=5(2)+b

Then you just solve for b

7=10+b

-10

-3=b

So the final equation is y=5x-3

The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3

The standard equation of the line using the point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line

Given the following parameters

m =  5

(x0, y0) = (2, 7)

Substitute the given expressions into the formula as shown:

y - 7 = 5(x-2)

y - 7 = 5x - 10

y - 5x = -10 + 7

y - 5x = -3

Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3

Learn more here: https://brainly.com/question/17003809

what is the remainder of 58,511 divided by 21, the quotient is 2,786 R

Answers

Answer:

the remainder is 5. 2,786 R 5

Two numbers have a difference of 3. The sum of their squares is 89. Find the number​

Answers

Answer:

The numbers are 8 and 5

Step-by-step explanation:

The square of 8 is 64 and the square of 5 is 25. 25 plus 64 equals 89.

change the fraction 2/5 to a percent

A. 25%
B. 40%
C. 7%
D. none none of these choices are correct​

Answers

2/5 make denominator 100
2/5 = 40/100 = 40%

Answer: B

Step-by-step explanation:

In which quadrant does the given point lie?

(-1,5)

Answers

it is in quadrant number 2

find two number closest to 5000 that are divisible by 36,21,and 12​

Answers

1,008 hope this helps

Carol gets paid $10 per
hour to work as a lifeguard. This
weekend, she worked on both Saturday and Sunday. She
made a total of $80. Carol worked for 5 hours on Saturday.
For how many hours did she work on Sunday?
Let x = hours spent working on Sunday. Choose the equation and solution
steps that correctly represent this problem.

Answers

Answer:

3 hours

step by step explanation:

x + (10 x 5) = 80

Answer:

she worked 3 hours on sunday .Equation: 10 multiplied by x

Step-by-step explanation:

A hiking trail down the side of Mt. Tom drops a vertical distance of 60 meters over a horizontal distance of 300 meters. What is the slope of the trail? Express your answer as a reduced fraction.

Answers

Answer:

Step-by-step explanation:

Slope of the trail is expressed as;

Slope = vertical distance/horizontal distance

Given

Vertical distance = 60metres

Horizontal distance= 300metres

Substitute

Slope = 60/300

Slope = 6×10/30×10

Slope = 6/30

Slope = 6×1/6×5

Slope = 1/5

Hence the slope of the trail in reduced fraction is 1/5

I WILL BRAINLEST THE FIRST CORRECT PERSON TO ANSWER THIS * view image*

Answers

Answer:

11 22 333 444 66% 88 have a blessed day and get 100% ok

Step-by-step explanation:

A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.

Which simulation design could she use to estimate the probability?

A. Number cube

Let 1,2,3,4 = rock
Let 5,6 = pop

Roll cube three times. Repeat.


B. Random Digits

Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop

Select three random digits. Repeat

C. Number cube

Let even number = rock
Let odd number = pop

Roll cube three times. Repeat


D. Number cube

Let 1 = rock
Let 2 = pop

Roll cube three times. Repeat

Answers

Answer:

number cube

let even number= country

let odd number= not country

roll cube three times. repeat.

------------------------

Step-by-step explanation:

a p e x :))

The simulation design could she use to estimate the probability is;

C. Number cube

Let even number = rock

Let odd number = pop

Roll cube three times. Repeat

Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.

If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.

For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.

The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.

Looking at the options, the only one that corresponds to our simulation is option C.

Read more about probability simulation at; https://brainly.com/question/10333446

PLEASE HELP!! GEOMETRY!!

Answers

=685.67Step-by-step explanation:

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle. The shortest side of the other triangle has length 3 inches. What is the perimeter, in inches, of the smaller triangle?

Perimeter = 9.5


Perimeter = 10.6


Perimeter = 15.2


Perimeter = 17.4

Answers

Answer:

wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the

Step-by-step explanation:

The perimeter of the smaller triangle will be 17.4. Then the correct option is D.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.

The shortest side of the other triangle has a length of 3 inches.

Then the perimeter of the smaller triangle will be

Let the other two sides of the smaller triangle be x and y. Then we have

3/10 = x/18 = y/30

From the first two terms, we have

3/10 = x/18

    x = 5.4 inches

Then from the first and third terms, we have

y/30 = 3/10

     y = 9

Then the perimeter of the triangle will be

P = 3 + 5.4 + 9

P = 17.4 inches

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Type the correct answer in each box. Use numerals.
Solve the given system of equations.
2y = -x + 9
3x - 6y = - 15
The solution to the system is ( __ , __ )

Answers

2y=-x+9
6y=3(-x+9)

3x-3(-x+9)=-15
3x-(-3x+27)=-15
3x+3x-27=-15
6x=-15+27
6x=12
x=2

2y=-2+9
2y=7
y=7/2

Answer is (2 ; 7/2)

which is bigger? 2 or -3 please help!!

Answers

2 is bigger because -3 is below 0

How do you do these two questions?

Answers

Answer:

y(t) → 2 as t → ∞

dP/dt = P (P/1850 − 1) (1 − P/16000)

Step-by-step explanation:

The graph shows how dy/dt changes as a function of y.

At t = 0, y = -0.5.

At y = -0.5, dy/dt > 0.  Therefore, y is increasing.

y continues to increases until y = 2.  At this point, dy/dt = 0, and changes signs from positive to negative, so y begins to decrease.  dy/dt then becomes positive again, and the cycle repeats.

So y approaches 2 as t approaches infinity.

dP/dt is negative when P < 1850.

dP/dt is positive when 1850 < P < 16,000.

dP/dt is negative when P > 16,000.

dP/dt is 0 when P is 0.

Therefore, dP/dt = P (P/1850 − 1) (1 − P/16000).

3. Which choice is the correct way to write 0.0207 in scientific notation? * 17 points
207 x 103
°
2.07 x 10-2
Option 1
O Option 2
207 x 10-3
2.07 x 10-3

Answers

2.07*10^-2

When using scientific notation you want to multiply it by ten with and exponent thy will move the decimal x many spaces. In this problem, the decimal was moved two spaces to the left of 2.07 so the exponent is 10^-2.

Hope that helps

Write in slope-intercept form an equation of the line that passes through
the given points. (0, 1) (2, 4 )

Answers

Step-by-step explanation:

m= (4-0)/(2-1)

=4

y-int=1

y=mx+c

y=4x+1

Which one is bigger 1 3/5 or 1.9

Answers

Answer:

1.9

Step-by-step explanation:

1 3/5 is the same as 1.6. So, which ones bigger? 1.9.

1.9 because 1 3/5 becomes 1.6 and 1.9 is bigger than 1.6

what is the sqaure root of (x-3/7) divided by 12x+7 divided by 76.3x?

Answers

Answer:

[tex]\sqrt{\frac{3x}{3} } + \frac{10}{109} x[/tex]

Step by step:

[tex]\sqrt{x-\frac{3}{7}[/tex] = [tex]\sqrt{\frac{49x-21}{7} }[/tex]

[tex]\sqrt{\frac{49x-21}{7} }[/tex] ÷ 12x+7=[tex]\sqrt{\frac{7x-3x}{12}} + 7[/tex]

[tex]\sqrt{\frac{7x-3x}{12}} + 7[/tex] ÷ 76.3x = [tex]\sqrt{\frac{3x}{3} } + \frac{10}{109} x[/tex]

Hope this helps!

if 1 yard of ribbon cost 83 cents how much does 1 foot cost

Answers

Answer:

27.7 cents or round to 28 cents

Step-by-step explanation:

3 feet in one yard. 83÷3=27.6666666

[FIRST TO ANSWER GETS BRAINLIEST] Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.

Answers

new length = 30x110% = 33cm
new width = 20x105% = 21cm

original perimeter = 30x2 + 20x2
= 60 + 40 = 100
new perimeter = 33x2 + 21x2
= 66 + 42 = 108

increase in perimeter = 108-100 = 8
percentage increase = 8/100 x 100% = 8%

Please help!!!!!!!!!!​

Answers

Convert into percent
406/100 = 406%

Answer:

406%

Step-by-step explanation:

cuz google says so

If someone could help me out here it would be greatly appreciated.

Answers

Answer:

k=45

Step-by-step explanation:

the k on the right can be mirrored from the left side of the triangle, the other side of the triangle says that its 45 degrees so that means the answer is as well, but if you want to make sure that the answer is correct then take the 2k degrees then replace the k with 45 and multiple that which gives you 90. add the other 2 45s together which gives you another 90 and then add the two 90s which gives you 180.

2x+7 the 7 is a what

Answers

What do you mean exactly

Mr Kumar bought a car for $5,000
During the first year, its value depreciated by 20%. What was the value of the car after one year?
A $1,000
B $4,000
C $4,500
D $6,000

Answers

Answer:

b

Step-by-step explanation:

20% of 5000 is 1000 so 5000-1000=4000

Answer:

the answer is A trust me its right

Mike was training for a marathon. On his first day, he ran 2.45 kilometers. On the second day, he ran 3.8 kilometers. How far did he run altogether?

Answers

Answer:

6.25 kilometers

Step-by-step explanation:

2.45km + 3.8km

= 6.25km

Answer: 6.25 Kilometers

Step-by-step explanation:

First, take 2.45 Kilometers from day one

Then take 3.8 Kilometers from day two

Now add them together for the result of

6.25 Kilometers

which is a characteristic of any function created by the product of two linear factors?

A. has an axis of symmetry
B. has a maximum
C. has two y intercepts
D. has two x intercepts

Answers

Answer:

the answer is d

Step-by-step explanation:

The characteristic of any function created by the product of two linear factors is; Choice D: has two x-intercepts.

According to the question;

We are required to determine which is a characteristic of any function created by the product of two linear factors.

The product of two linear factors results in a quadratic function.

Since a quadratic function is a polynomial of degree two, 2.

In essence, the resulting function created by the product of two linear factors has two x-intercepts.

Read more;

https://brainly.com/question/11869216

Solve for u, where u is a real number. Square root of u+6=9 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Answers

Answer:

The answer is 3+6=9. u=3 .

List the solvent and solute(s) in the scenarios below.
A solution of 32% ethanol and 68% water

Answers

Answer:

no

Step-by-step explanation:

NEED HELP NOW!!!!!!
Androcles
adapted from Aesop’s Fables

scene 1:
(Backdrop—forest. Enter Androcles looking over his shoulder)

ANDROCLES: (Speaking to himself) I’ve just escaped from my master. I need to find a place to hide. (As he searches for a place to hide, he sees a lion moaning in pain. He turns to run but changes his mind.) Oh! You poor thing. (He looks at the lion’s paw, which is swollen and bleeding. He finds a large thorn, which is the cause of the pain, pulls it out, and binds the paw. The lion rises and licks Androcles's hand. The lion leads him to a cave stage right.)

ANDROCLES: (Speaking to the audience) The lion brought me meat to live on for the next few days until we were captured.

(Curtain)

scene 2:
(Backdrop—arena. The Emperor enters stage right downstage and moves to stage left upstage. Androcles is surrounded by guards who enter from stage right upstage. Androcles moves to center stage. His head is bowed.)

EMPEROR: The slave shall be thrown to the lion as punishment. Ensure that the lion has a good appetite.

(The Emperor and the members of court are gathered stage left upstage. Androcles is center stage. The lion charges in from stage rightdownstage. Androcles steps back. The lion recognizes Androcles and begins to lick his hand.)

EMPORER: (Surprised) What is this? Guards! I wish to speak with him. (Speaking to Androcles) How did you do that? Are you a sorcerer?

ANDROCLES: (Bowing to the emperor) When I escaped and ran into the forest, I found him with a large thorn. It caused him much pain. I took it out, and he has been grateful since then.

EMPORER: (Impressed) Very well! You are pardoned and the lion shall be released into the wild.

(Curtain)

12
Select the correct answers.
Based on the passage, which two adjectives best describe Androcles?
courageous
vicious
kind
lazy
cowardly

Answers

Answer:

the answer is courageous and kind

Answer:

Courageous and Kind

Step-by-step explanation:

At least all the animals showed Courage and Kindness to the others.

Have a great day mate!

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