[tex]f(x) = {x}^{3 } + {3x}^{2} - 9x + 5[/tex]
which of the following are roots of a polynomial function?
check all that apply
a[tex]1 - \sqrt{3} [/tex]
b
[tex]1 + \sqrt{3} [/tex]
c
[tex] - 5[/tex]
D
[tex]3 - \sqrt{2} [/tex]
E
[tex]3 + \sqrt{2} [/tex]
F
[tex]1[/tex]

Answers

Answer 1

Answer:

[tex]f(1) = {(1)}^{3} + 3 {(1)}^{2} - 9(1) + 5 \\ (x - 1) = 0 \rightarrow \: x = 1 \\\frac{{x}^{3 } + {3x}^{2} - 9x + 5}{x - 1} = {x}^{2} + 4x - 5 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1 \\ \color{red}\boxed{x_{1} = 1} \\\color{yellow} \boxed {x_{2} = 1} \\ \color{green}\boxed{x_{3} = - 5} [/tex]

The answer would be C and F

Answer 2

Answer: 1 & -5

Step-by-step explanation


Related Questions

What is the value of x in the equation 8+4 = 2(x-1)2
O 5
11
o
2

o
13
2
O 7

Answers

Step-by-step explanation:

→ 8 + 4 = 2(x -1)

→ 12 = 2x - 2

→ 2x - 2 = 12

→ 2x = 12 + 2 = 14

→ x = 14/2 = 7

→ x = 7

hence, option D (7) is correct.

Hope this answer helps you dear ! take care

what is an equation of the line that passes through points (-7,-5) and (-7,-2)?

Answers

Answer:

x=-7

Step-by-step explanation:

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

m=(-2-(-5))/(-7-(-7))

m=(-2+5)/(-7+7)

m=3/(0)

undefined

x=-7.

What is the domain and range in the equation y=2x-1?

Answers

Answer:

Domain:(−∞,∞),{x|x∈R}

Range:(−∞,∞),{y|y∈R}

Can someone do it and explain please? I don’t get it

Answers

is it 60 degrees or 70 degrees? because 100 + 120 = 220
360 - 220 = 140
One side looks larger than the other tho so I am not sure.

if your leg get cut off, where would you feel the pain if you got no leg. hehehe​

Answers

Answer:

lol in your head , literally

Step-by-step explanation:

After one of your limbs is amputated, you may feel as if the limb is still there. This is called phantom sensation. You may feel: Pain in your limb even though it is physically not there.

Answer:

The nerve in your leg.

Explanation:

It's not your leg that will hurt but the nerve in your leg that'll hurt. So wherever the leg is cut, the nerves must be cut as well, but another thing is when  one of your limbs is amputated, you may feel like the limb is still there. That's called phantom sensation. You might feel pain in your "limb" even though it's not physically there.

Write the word sentence as an equation. Then solve.

The difference of a number n and 3 is -7.

Answers

Answer:

n-3 = -7

n = -4

Step-by-step explanation:

(Meeting character limit)

Answer:

-4

Step-by-step explanation:

n - 3 = -7, n = -4

What is the point of intersection for the graphs of the equations 4x-y=6 and x+y=4

Answers

Answer:

(2,2)

Step-by-step explanation:

4x-6 = 4-x

5x = 10

x = 2

y = 4-2 = 2

(2,2)

Choose the fraction that goes in the blank. 5/12< _____<3/4

Answers

Answer:

7/12 or 8/12 are both good options

Step-by-step explanation:

nvr mind, its 7/12 only

WILL GIVE BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

The answer is -2 so it’s the second one :)

Use the Fundamental Theorem of Calculus to find y′. pls help

Answers

Use This Since You provided no context:

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating the gradient) with the concept of integrating a function (calculating the area under the curve). ... This implies the existence of antiderivatives for continuous functions.

Need help again first answer gets brainliest

Answers

Answer:

vertical angles are supplementary

Answer:

C. Vertical angles are congruent

Step-by-step explanation:

Angles 1 and 4 are vertical angles.

According to definition of vertical angles, they are congruent.

Correct choice is C

Ron wants to make money painting portraits of people at the local mall. The mall
charges Ron $22.00 a day for Ron to set up his materials to sell his portraits. He
charges $15.50 a portrait, but it costs him $3.25 in materials to make that portrait.
How much profit will Ron make from each portrait he paints (not including the daily
fee that the mall charges him)?
$12.00
$12.25
$12.50
$13.00

Answers

Answer:

$12.25

Step-by-step explanation:

$12.25

The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.

Answers

Answer:

x = 4343°, 51°, 86°

Step-by-step explanation:

The sum of the angles is ...

  x° + (x +8)° + 2x° = 180°

  4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

  x +2 = 45 . . . . . . . . . . divide by 4

  x = 43 . . . . . . . . . . subtract 2

  x +8 = 51

  2x = 86

The angles are 43°, 51°, 86°.

Decomposition of 1,980

Answers

Answer:

2

990

2

495

3

165

3

55

5

11

Step-by-step explanation:

special right triangles, solve for x, y and z

Answers

Answer:

x=14

y=27

z=43

Step-by-step explanation:

hope it helps!

14. Provide a written description of the complement of the given event.
of ten adults, at least one of them has high blood pressure.


None of the adults have high blood pressure.
At most one of the adults has high blood pressure.
All of the adults have high blood pressure.
Nine of the adults have high blood pressure

Answers

Answer:

At most one of the adults has high blood pressure.

Step-by-step explanation:

PLEASE HELP ME please please

Answers

Answer:

if its before bed time I think it is A

Step-by-step explanation:

what step is first when solving
3/4 x-3 = -18
NO LINKS WHATSOEVER

Answers

Answer:

Add 3 to both sides.

Step-by-step explanation:

Add 3 to both sides.

This is how you figure it out. Imagine you have a value you want to use for x on the left side, such as 5.

In other words, evaluate 3/4 x - 3 for x = 5

The left side turns into 3/4 × 5 - 3.

What order of operations would you use now on the left side.

1) Multiply 3/4 by 5

2) Subtract -3

To solve an equation, you do the opposite operations in the opposite order.

Since to evaluate the left side with a number for x, you end by subtracting 3, to solve the equation you start by adding 3. Then you divide by 3/4.

Answer: add 3 to both sides

Mrs. Jerry wants her 25 students to each have 48 buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are 15 buttons in each bag. How many bags of buttons does Mrs. Jeremy need to buy so she has exactly enough buttons for 25 students?

Answers

Answer:

3 bags

Step-by-step explanation:

add 15 x 15 x 15 and you should have enough bags

The sum of three terms in AP is 15. If the first two terms are each decreased by 1 and the last is increased by 1 then the resulting terms are in GP. find the numbers.​

Answers

Answer:

3, 5, ,7 or 9, 5, 1

Step-by-step explanation:

Let the three terms in AP be a - d, a & a + d

where a = First term and d = Common difference.

Condition 1: sum of three terms in AP is 15.

a - d + a + a + d = 15

3a = 15

a = 15/3

a = 5

Condition 2: When first two terms are each decreased by 1 and the last is increased by 1 then new terms so obtained will be as follows:

a - d - 1, a - 1, a + d + 1

These terms are in G.P.

[tex] {(a - 1)}^{2} = (a - d - 1)(a + d + 1) \\ \\ {(5 - 1)}^{2} = (5 - d - 1)(5 + d + 1) \\ \\ {(4)}^{2} = (4 - d)(6 + d) \\ \\ 16 = 24 + 4d - 6d - {d}^{2} \\ \\ 0 = 8 - 2d - {d}^{2} \\ \\ {d}^{2} + 2d - 8 = 0 \\ \\ {d}^{2} + 4d - 2d - 8 = 0 \\ \\ d(d + 4) - 2(d + 4) = 0 \\ \\ (d + 4)(d - 2) = 0 \\ \\ d + 4 = 0 \: \: or \: \: d - 2 = 0 \\ \\ d = - 4 \: \: or \: \: d = 2 \\ \\ when \: d = - 4 \\ \\ a - d = 5 - ( - 4) = 9 \\ a = 5 \\ a + d = 5 - 4 = 1 \\ \\ when \: d = 2 \\ a - d = 5 - 2 = 3 \\ a = 5 \\ a + d = 5 + 2 = 7 \\ \\ thus \: three \: terms \: in \: AP \: are: \\9, \: 5, \: 1 \: \: or \: \: 3, \: 5, \: 7[/tex]

Share £30 in the ratio 1:5 between Tim and Sam

Answers

tim gets 5 and sam gets 25 or 5:25

PLEASE HELP ASAP! harold makes a plan to save $500 per month for the next 5 years. He is depositing it in an interest bearing account at 2% APR (compounded monthly). What will be Harold’s balance at the end of 5 years?​

Answers

Answer:

50

Step-by-step explanation:

2 squared all divided by 4
please

Answers

Answer:

think answer is 0.5 each

Find the simple interest paid on a $200 investment at 4.4% annual interest for 60 days.

Answers

Step-by-step explanation:

hope it will help you...

please help !! question is shown below in the picture

Answers

Answer:

C

Step-by-step explanation:

Given x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 20 , y = 10 then

10 = 20k ( divide both sides by 20 )

[tex]\frac{10}{20}[/tex] = [tex]\frac{1}{2}[/tex] = k

y = [tex]\frac{1}{2}[/tex] x ← equation of variation → C

Please help
4³−4÷2x5

Answers

Answer:

its 54

Step-by-step explanation:

Answer:

the answer is 6

Step-by-step explanation:

4 to the 3 power is 64

64-4=60

2x5=10

60/10=6

A person of 600 newtons
gets on an elevator which
lifts him 6 meters in
10 seconds. How much
power was used?

Answers

Answer:

360J/s

Step-by-step explanation:

power=work done/ time

power=600×6/10

=3600/10

=360

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

Variable = 4 (1/4x) 1/Variable - 12 - 12

(Hope this helps.)

At the Shelby Ski Resort, it snowed
5 4/5 feet yesterday and 4 2/5 feet
today. How much more did it snow
yesterday than today?

Answers

Answer:

it would have snowed 1 2/5 feet more the previous day than the current day.

Help help help math math

Answers

Answer:1 or 2/2

Step-by-step explanation:

-2 to 0 is adding 2 and 0 to 3 is also adding two so for x it will be two

For Y it is from 4 to 6 so it is also adding 2 and from 6 to 8 your also adding 2

So y will be 2

And 2/2 is 1

Other Questions
What are macromolecules that contain carbon, hydrogen, oxygen, and nitrogen, needed by the body for growth and repair? where did the first struggle of the filipinos taking place during the 1896 revolutionPls answer What is needed for an organism to survive Need an answer right away for many points! I will report if it is not applicable. Which major cities share a time zone?A) London and HonoluluB) Washington and DallasC) Washington DC and BostonCD) New York and Fort WorthWhich is it Which of the following is an example of a game strategy for football? Need Compound Sentences for these words.Abetadvocateallotassimilateaugmentbarterciteclarifyconveycorrelateculminatedecipherdelineatedeplorediscerndissuadedubelaborateencroachendeavorexemplifyextrapolatefacilitatefosterharborhinderinstillinstituteintegratejustifylanguishlolllumberminimizeoptimizeperpetuatepioneerplunderpostulaterankle rebukeruesubsidesuccumbsurpassteemvieyearnwrithe What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is compounded monthly FRUIT Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase. Alyssas bank charges $0.15 for each check written, $0.25 per ATM transaction, and a monthly fee to maintain a checking account. The table shows Alyssas checking account activity for December.HLEPPPP huryyyyyyy calculate (310^5) (410^4) in standard form.NEED HELP ASAP. Does The ps5 digital have a disc drive even Though ps4 games are not compatible Find the midpoint of the segment with the following endpoints. (2, -9) and (-4,-4) Which of the following is not a type of trademark? fanciful arbitrary simple suggestive CAN SOMEONE MAKE A COUNTER-ARGUMENT FOR THISWell technology has grown over the years allowing us to communicate instantly with each other and help us live safer it has also taken away from our human interaction and the way we communicate. Write the equation of a line with the given slope that goes through the given point.7) through: (3, -5), slope = -158) through: (3, 2), slope3 I need to know the values of m and n. Which era began in Europe after the collapse of the Roman Empire? Points A, B and C lie on a circle, centre O.Angle AOC = 142.Find the value of y. what is the correct meaning of the word emphatically