11) Which of the following is zero of the polynomial x^3+x^2+x+1

1
-1
both options 1 and 2
None

please answer​

Answers

Answer 1

Answer:

The correct answer is option 2: -1

Step-by-step explanation:

In order to check if a number is zero of a function or not, the numer is put into the function in plave of variable. If the answer is zero thent he number is zero of the function and if the answer is not zero the given number is not a zero of the function.

Given function is:

[tex]x^3+x^2+x+1[/tex]

Putting x=1

[tex]=(1)^3+(1)^2+1+1\\=1+1+1+1\\=4[/tex]

1 is not zero of the function.

Putting x = -1

[tex]=(-1)^3+(-1)^2+(-1)+1\\=-1+1-1+1\\=0[/tex]

-1 is zero of the given function.

Hence,

The correct answer is option 2: -1


Related Questions

transformation:rotation,reflection or translation?

90 degree clockwise,90 degrees counter clockwise 180 degrees clock wise 180 degrees or 180 counter clockwise?

followed by a reflection, rotation or translation?

Answers

Answer:

Step-by-step explanation:

Counter clockwise 180 degree rotation

A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes, how far will it travel in 32 minutes?

Answers

21 1/3 miles
Divide 32 by 3 1/2, and then multiply it by 2 1/3 to get this answer

What is the interquartile range of the following data set? 3,8, 14, 19, 22, 29, 33, 37, 43, 49. A. 26 B. 23 C. 19 D. 18

Answers

Answer:

I think the answer is B.23

Please answer !!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

<A = 117degrees

Step-by-step explanation:

<A and <B are verticle angles, as given. Hence they will be of equal measures. It is given that <A = 5x -3, and <B = 4x + 21.

Using this, set up an equation;

<A = <B

5x - 3 = 4x + 21

Inverse operations,

5x - 3 = 4x + 21

    +3          +3

5x = 4x + 24

-4x   -4x

x = 24

Now substitute back in, to find the measure of <A,

5x - 3

x = 24

5 ( 24 ) - 3

120 - 3

117

price of 1 kg sugar is rupees 104.25 find the price of 50 kg​

Answers

Answer:

5,212.5 rupees

Step-by-step explanation:

If price of 1 kg is 104.25

multiply 50 by 104.25

equals 5,212.5 rupees

Answer:

5212.50 rupees

Step-by-step explanation:

We can use a ratio

1 kg             50 kg

-----------  = ---------------

104.25            x

Using cross products

1x = 50 * 104.25

x =5212.50 rupees

Given the equation x^2=16, which statement below describes the solution(s)?

Answers

Answer:

4

Step-by-step explanation:

x²=16

x=√16

x=4

Answer:

x^2=16

^ stands for power or exponent

so, the equation is: x square= 16

for this x should be equal to 4

now,

4^2=16

Step-by-step explanation:

Task 2.43 - HELP FAST
Show me a simple and easy solutions to these types of tasks (brainliest is achieveable)

Answers

Answer:

I gave explanations on paper the only one that I really didn't know how to do was 2.44 -b

sorry

1) Which is the best estimate for the amount of grass in the lawn

A.125ft
B.125sq ft
C.1,250ft
D.1,250sq ft

2) Which is the best estimate for the total length of the bricks?

A.125ft
B.125sq ft
C.1,250ft
D. 1,250sq ft

Answers

Answer:

for number one the answer is D). 1,250 sq ft. for number 2 it is A.) 125 ft

Thats all you really need to answer, it doesnt ask for you to explain it or anything.

what is the avrage of 4.1 ,6 ,1.3 6.5 ,1.6

Answers

Answer:

3.36

Step-by-step explanation:

4.1 +6 +1.3+6.5 +1.6=16.8

16.8/5=3.36

In order to  get the answer you add everything up and then divide from the amount of numbers there are.

Find the value for x
Can somebody help me?
Please

Answers

Answer:

1-7 2-6 3-6 4-4

Step-by-step explanation:

To do this, you must notice that all of these are isosceles triangles (2 of the sides are the same.) You already have 1 value on each triangle, and the length of that side is the same length as the side with the unknown value, so those are the correct answers. If I made a mistake, please correct me. Everybody makes mistakes.

What is the answer to this pre-algebra equation 7x+10=3x+120

Answers

Answer:

 =[tex]\frac{55}{2}[/tex]

can u tell which is true or false or not enough info

Answers

Answer:

I'm going to list the answers below in the explanation.

Step-by-step explanation:

JL = 36 False

ML = 36 True

MP = 48.5 Not enough info

Angle JLK = 102 True

Angle PNK = 102 False

MP || PK False

The only one I'm not 100% positive about is MP = 48.5 but I'm pretty sure!

Good luck and I hope this helps.

9514 1404 393

Answer:

  F, T, T, T, T, F

Step-by-step explanation:

PM and PN are "midlines" of the triangle JKL. As such, they are parallel to and half the length of the side of ΔJKL they don't intersect. The relationships of angles and transversals of parallel lines apply. LMPN is a parallelogram, so opposite sides are the same length.

a) JL is not 36, it it twice that. (F)

b) ML is the same length as PN, 36. (T)

c) MP is half of LK, so is 97/2 = 48.5. (T)

d) ∠JLK corresponds to ∠JMP, so is congruent. (T)

e) ∠PNK corresponds to ∠JLK, so is congruent. (T)

f) MP intersects PK at point P, so cannot be parallel. (F)

PLEASE PLEASE HELP ILL MARK AS BRANLIEST

Answers

Answer:

[tex]x=7[/tex]The length of MN = 13The length of NO = 13The length of OM = 13

Step-by-step explanation:

As the given triangle is equilateral as all the sides of the triangle are equal.

[tex]MN = 3x-8[/tex]

[tex]NO=2x-1[/tex]

[tex]OM=5x-22[/tex]

As all the sides are equal, i.e.

[tex]MN=NO=OM[/tex]

as

[tex]MN=NO[/tex]

[tex]3x-8=2x-1[/tex]

Add 8 to both sides

[tex]3x-8+8=2x-1+8[/tex]

[tex]3x=2x+7[/tex]

[tex]x=7[/tex]

Hence, the value of x = 7

so putting the value of x to determine the lengths of the

segments MN, NO, and MO

[tex]MN = 3x - 8[/tex]

       [tex]= 3(7)-8[/tex]

       [tex]=21-8[/tex]

       [tex]=13[/tex]

Hence, the length of MN = 13

[tex]NO = 2x-1[/tex]

       [tex]=2(7)-1[/tex]

       [tex]=14-1[/tex]

       [tex]=13[/tex]

Hence, the length of NO = 13

[tex]OM = 5x-22[/tex]

      [tex]= 5(7)-22[/tex]

      [tex]= 35-22[/tex]

      [tex]=13[/tex]

Hence, the length of OM = 13

Find the root of the following equation: (6+x)2−x2=168

Answers

Answer:

No solutions (roots)

Step-by-step explanation:

The root of an equation is basically the solution of the equation. If I'm reading the problem correctly, the equation is (6+x)*2 - x*2 = 168.

We distribute the (6+x)*2 part and get 12+2x - 2x = 168. Uh oh.. the 2x terms cancel each other out and we are left with 12=168. Either I'm reading the equation wrong or the equation has no solutions.

help if you cannn please

Answers

Answer:

I want to say it is 8,000

Step-by-step explanation:

go to 80 degrees and go up to the next point and that is on 8,000

Answer:

8,300

Step-by-step explanation:

If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.

r
–4=-3+
+
10
Answer?

Answers

Answer:

r = 11

Step-by-step explanation:

Is the question

r - 4 = - 3 + 10

So what's r

r - 4 = -3 + 10      Combine the right

r - 4 =  7              Add 4 to both sides

r - 4 + 4 = 7 + 4

r = 11

Solve the following equation by the quadratic formula. x 2 + x - 1 = 0

Answers

Answer

x is 1.62 or -0.62

Step-by-step explanation:

Quadratic Formula:

[tex] \boxed{ \bf{x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}}[/tex]

Given Quadratic Equation:

x² + x - 1 = 0

a = 1 (Quadratic coefficient)

b = 1 (Linear coefficient)

c = -1 (Constant coefficient)

By substituting values in the formula, we get:

[tex] \rm \longrightarrow x = \dfrac{-1 \pm \sqrt{1^2 - 4(1)( - 1)}}{2 \times 1} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{1 + 4} }{2} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{5} }{2} [/tex]

Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Chloe's birthday.

Answers

Answer:

the answer would be

Step-by-step explanation:

i hope this helped

Simplify 56yz^2/48y^5z^2

Answers

Step-by-step explanation:

10

Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60 - 5 = 12. Complete the
statement about whether Noah's method always works.
His method never
works because multiplying by does not give the same result as dividing by 5.

Answers

Answer:

he is correct because 20% is the same thing as 1/5 amd 1/5 is the same thing as dividing by 5

Step-by-step explanation:

Answer the question in the photo

Answers

Everything but C or all of the above because they can all be decimals technically

Answer:

B and C

Step-by-step explanation:

Both B and C

B)

2/5 = 0.4 (which terminate as decimals)

Similarly

C)

-1/4 = -0.25 (also terminates)

But A and D do not terminate

As for A) 1/3= 0.33333333..........

and for D) 7/9= 0.777777777......

In both cases the decimals are a never ending sequence or in other words does not terminate at all. They are irrational numbers.

Hope you understand. Thank you.

write 28 + 24 as a product of two factors using the GCF and the distributive property

Answers

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

The product of two factors using the GCF and the distributive property is 4(13).

What is the meaning of the greatest common divisor/factor?

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

To learn more about the product visit:

https://brainly.com/question/10873737

68/125 Write a fraction as an equivalent fraction with a power of 10 in the denominator.Then write the fraction as a decimal

Answers

Answer:

[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]

Step-by-step explanation:

[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]

Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (5, - 2), (-1,5)
Line 2: (-12, 2), (2,14)

Answers

(5,-2),(-1,5)
X1 y1 x2 y2

5-(-2)/-1-5 = 7/-6

(-12,2), (2,14)
X1 y1 X2 y2

14-2/2-(-12)= 12/14 dived by 2= 6/7

They are perpendicular
Line 1: -7/6
Line 2: 6/7

2 (x - 2/3) = 0

solve for x​

Answers

x would equal 2/3 or in decimal form, 0.6 repeated

Answer:

x = 2/3

Step-by-step explanation:

2(x-2/3)=0

2x-1 1/3=0

2x=1 1/3

Devide both sides by 2

x=2/3

The populations of Cities A and B are 1.6 x 10^5 and 1,070,000​, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City​ A?

Answers

Answer:

13

Step-by-step explanation:

First find the population of city c 1,070,000 times 2 = 2140000

Round 2140000 to the nearest hundred thousands = 2,100,000

Third find how many places the decimal moves which is 6 places

Fourth scientific notation of 2,100,00 is 2.1 times 10^6

Fifth divided city c by the population of city a

2.1x 10^6 divided by 1.6 x 10^5

2.1 / 1.6 rounded is 1.3

10^6 divided by 10 ^ 5 is 10

Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13

The population of city c is about 13 times the population of city a

The value of which number lies between 14 and 15?

Answers

Answer: 69 hope this helps!

help a girl out due at 11:59 ‍♀️

Answers

Answer:

your answer woulsd be 4/15 or how many times does 4  gois in ta 15

Step-by-step explanation:

Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents

Answers

Answer:

Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Answer:

A

Step-by-step explanation:

what is f(x)=5x-12 what is f(2)?

Answers

Answer:

f(2) = -2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 5x - 12

f(2) is x = 2

Step 2: Solve

Substitute:                         f(2) = 5(2) - 12Multiply:                             f(2) = 10 - 12Subtract:                            f(2) = -2

Answer:

f ( 2 ) = - 2

Step-by-step explanation:

Step 1:

f ( x ) = 5x - 12            Function

Step 2:

f ( 2 ) = 5 ( 2 ) - 12          Input x

Step 3:

f ( 2 ) = 10 - 12        Multiply

Answer:

f ( 2 ) = - 2

Hope This Helps :)  

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