How many roots does (x+10)^9 have. Please explain how u did it.

Answers

Answer 1

Answer:

This expression contains a one root  (x= -10) of multiplicity 9

Step-by-step explanation:

Notice that this polynomial is given in factor form, since it is equivalent to 9 products of the same factor (x+10):

[tex](x+10)^9=(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)[/tex]

Therefore, there is a single root x = -10, since when x=-10 each of these binomial factors result in a zero.

In mathematical terms, such type of root is said to have multiplicity. And in this case, the multiplicity is "9" (the number of equal binomial factors of the polynomial form).

Answer 2

Answer:

9

Step-by-step explanation:

(x+10)^9 is the 9-degree polynomial so it has 9 roots

if it is equal to zero then it has 9 equal roots of x= -10


Related Questions

Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?

Answers

Yes, Kevin is correct

Your mom bought a new couch on sale for $840. If the sale was 30%, what was the Original Price?

Answers

Answer:

1200$

Step-by-step explanation:

(840/(100-30))*100

(840/70)*100

12*100

1200

Given that: 2√2−√5 / 3√2+2√5 = =

Answers

Answer:

7√10/2 - 11

Step-by-step explanation:

(2√2−√5) / (3√2+2√5)=

(3√2-2√5)(2√2−√5)/(3√2+2√5)(3√2+-2√5)=

(12+10-3√10-4√10)/(18-20)=

(22-7√10)/-2= 7√10/2 - 11

In the given triangle ABC, find DE. answers: 20 5 10 2.5

Answers

Answer:

5

Step-by-step explanation:

Let's call the length AD y.

[tex]\dfrac{x+2}{y}=\dfrac{8x-14}{2y} \\\\\\2(x+2)=8x-14 \\\\\\2x+4=8x-14 \\\\\\4=6x-14 \\\\\\6x=18 \\\\\\x=3 \\\\\\DE=x+2=3+2=5[/tex]

Hope this helps!

if y=Kxz SQUARED, FIND K IF X=3. Z=2. y=60 ​

Answers

Answer:

y = kxz²

k= y/xz²

x= 3 y = 60 z= 2

k = 60/3(2)²

k=60/12

k= 5

Hope this helps.

Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?

A. 0.35+0.3x=0.45+0.2x

B. 0.35+0.03x=0.45+0.02x

C. 35+0.03x=45+0.2x

D. 35+0.03x=45+0.02x

Answers

Answer:

B. 0.35 + 0.03x = 0.45 + 0.02x

Step-by-step explanation:

I don't really know how to explain it, but it is correct.

This is complicated,no how to explain its c. Jk it’s b :p

I do t o wish she sksnheisnmakakabs nsjd

Answers

Answer:

x=-12

Step-by-step explanation:

(-22 + 3x) /( 3x+7) =2

Multiply each side of the equation by 3x+7

-22+3x = 2(3x+7)

Then distribute

-22 +3x = 6x+14

Subtract 3x from each side

-22 = 3x+14

Subtract 14 from each side

-36 = 3x

Divide by 3

-12 =x

Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy. He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle. After two weeks he measured the circumference of each balloon in centimeters; the bigger the balloon grew, the more energy that was produced. The results of the experiment are displayed in the box plots below.

Which description most accurately summarizes the sample results?

Answers

Answer:

For his balloon to grow bigger, more manure is needed to enhance more growth energy

The mean of cow manure with mashed bananas is always more than the mean of only cow manure in any country.

Then the correct option is B.

What is Mean?

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy.

He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle.

After two weeks he measured the circumference of each ballon in centimeters; the bigger the balloon grew, the more energy that was produced.

The mean of cow manure will be

Mean = 10+11 +13 +13 + 14 +15 + 15 + 15 + 18 + 18 + 19 + 20 +22+25+26/15

          = 254/15

          = 16.93

The mean of cow manure with mashed banana will be

Mean = 22+22+26+29+30+31+36+36+38+39+43+46+46+49+50/15

         = 543/15

         = 36.2

Thus, The mean of cow manure with mashed bananas is more than the mean of only cow manure.

Learn more about the mean link is given below.

brainly.com/question/521501

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Which statement justifies that ∠K ≅ ∠N? answers: A) ΔHKL ≅ ΔHMN by ASA; but the two angles aren't congruent because they aren't corresponding angles. B) The two angles aren't congruent. C) ΔHKL ≅ ΔHMN by ASA; ∠K ≅ ∠N because they're corresponding angles in congruent triangles. D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Answers

Answer:

Correct answer is:

D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation:

We are given the diagram, in which there are 2 triangles namely [tex]\triangle HLK, \triangle HMN[/tex].

1. Side KH = Side NH

2. [tex]\angle L \cong \angle M[/tex]

From the given figure, we can derive that:

[tex]\angle KHL \cong \angle NHM[/tex]

Property used: Vertically opposite angels made by two lines crossing each other are equal.

So, we have two angles ([tex]\angle L \cong \angle M[/tex] and [tex]\angle KHL \cong \angle NHM[/tex])of the triangle as same and one side equal from the two given triangles [tex]\triangle HLK, \triangle HMN[/tex].

So, we can say that the two triangles are congruent.

[tex]\triangle HLK \cong \triangle HMN[/tex]

The side is not between the two equal angles, so it is AAS congruence.

And Congruent triangles have their corresponding angles equal.

Therefore, option D) is true :

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N, because they're corresponding angles in congruent triangles.

Answer:

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation: I took the test

Please help will mark brainliest ​

Answers

Answer:

Klm=(k+1)m -(m+1)k

Klm=km+m -mk-k

Klm=m-k

please help me with this

Answers

Answer:

3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

3/4 + (1/3÷ 1/6 - (-1/2)=

3/4 + 2 - (-1/2)=

2 3/4 - (-1/2)=

3 1/4

hope it helps mark me as brainliest

What is 5 2/3 divided by 3 1/9?? PLEASE HELP!!! D:

Answers

Answer:1 23/28

Step-by-step explanation:

17/3/3 1/9

17/3/28/9

51/28

1 23/28

Use the distributive property to write the following expression without parentheses.
-6(3-m+n)

Answers

________________________________

Hey!!

Solution,

-6(3-m+n)

= -18+6m-6n

= 6m-6n-18

hope it helps....

Good luck on your assignment

______________________________

Answer:

[tex]= 6m + 6n - 18 \\ [/tex]

Step-by-step explanation:

[tex] - 6(3 - m + n) \\ = - 18 + 6m + 6n \\ = 6m + 6n - 18[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

-5/6+2/6=
What is the answer to this?

Answers

Step-by-step explanation:

Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.

Answer:

-1/2

Step-by-step explanation:

2/6-5/6=

(-(5-2))/6=

-3/6:

-3/3=-1

6/3=2

-3/6=-1/2

2 Points
Which of the following is a geometric sequence?
O A. 2,5, 7, 12, 19
B. 2, 4, 8, 16, 32
C. 3, 6, 9, 15, 24
O D. 6, 13, 20, 27, 34

Answers

Answer:

b and d

Step-by-step explanation:

That answer is d and b

Can u Please help me.

Answers

The answer is -3°c because 17-20= -3

Answer:

-3 degrees celcius

Step-by-step explanation:

To find the temperature at midnight, simply subtract the temperature change from the temperature at noon:

17 - 20 = -3

Therefore, it was -3 degrees at midnight.

Hope this helps :) Feel free to ask any questions!

If y varies directly with x and y = 20 when x = 2,
write the equation that represents this direct variation
relationship
Enter your answer in equation form without spaces.
Example: y = ?x

Answers

Answer: its 20 x 2

Step-by-step explanation: hope it helps idk if it right but did my best..

Which of the following is(are) the solution(s) to 8|x-3|=-24
O A. All values are solutions
O B. x= 6,0
C. No Solution
O D. x = 3,0

Answers

The correct answer is c. There is no solution because there is no way to divide it and simplify.

Which equation describes the locus of points 5 units from points (3, -4)?
A) (x+3)^2 + (y-4)^2=5
B) (x-3)^2 + (y+4)^2=5
C) (x-3)^2 + (y+4)^2=25
D) (x+3)^2 + (y-4)^2=25
***YOU DON'T HAVE TO EXPLAIN***

Answers

Answer:

I think the D number is correct(squaring on both side)

What is the volume of the solid figure? A rectangular prism on top of another longer rectangular prism. The top prism measures 5 inches by 5 inches by 5 inches. The bottom prism measures 20 inches by 5 inches by 5 inches. 625 in3 750 in3 800 in3 1,250 in3

Answers

Answer:

A

Step-by-step explanation:

V=5^(3)+20*5*5

V=125+500

V=625 in^3

Answer:

it is c

Step-by-step explanation:

What is the coefficient of the 2nd term of the following expression when written in standard form:
〖(7+4x)〗^3

Answers

Answer:

336

Step-by-step explanation:

Given the expansion: [tex](7+4x)^3[/tex]

[tex](7+4x)^3\\\\=(7+4x)^2*(7+4x)\\\\=(7+4x)(16x^2+56x+49)\\\\=7(16x^2+56x+49)+4x(16x^2+56x+49)\\\\=112x^2+392x+343+64x^3+224x^2+196x\\\\=64x^3+112x^2+224x^2+392x+196x+343\\\\=64x^3+336x^2+588x+343[/tex]

Therefore, the coefficient of the second term is 336.

Jasmine, Georgia, and Olivia are in boats on a lake. Their
relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the
nearest whole number.
ft

Answers

Answer:

52 feet

Step-by-step explanation:

Took the test

To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare to the amount of vegetables?

Answers

The amount of water is double in comparison to the amount of vegetables.

Answer:

1x16

Ste divided by 16 p-by-step explanation:

Will mark brainliest!
Please help!

Answers

Answer:

1.

30/100×450

0.3×450

135

450-135=315

So the sale price of a shirt is Nu.315

2.

30/100×450

0.3×450

135

450+135=585

So the selling price of the shirt is Nu.585

Answer:

Q1:315

Q2:585

Step-by-step explanation:

450 -30% (Percentage decrease) =

450 - (30% × 450) =

450 - 30% × 450 =

70 ÷ 100 × 450 =

70 × 450 ÷ 100 =315

Q2: 450 + 30(Percentage increase) =

450 + (30% × 450) =

450 + 30% × 450 =

130 ÷ 100 × 450 =

130 × 450 ÷ 100 =585

Which ordered pair is a solution to the system?
x>4
y≥2


A. (0, 0)
B. (–2, 7)
C. (5, 6)
D. (–4, –1)

Answers

Answer:

B

Step-by-step explanation:

Answer:

C. (5, 6)

Step-by-step explanation:

Got it correct on test :)))

What’s the vertex of y=1/3(x+2)^2-5

Answers

Answer:

vertex is (2,-5)

Step-by-step explanation:

y = a(x – h)^2 + k

the  vertex is (h,k) in the equation h =2 and k = -5

Why is sexual reproduction citical in the process of evolution

Answers

Answer:

sexual reproduction provides evolutionary advantages to organisms that employ this mechanism to produce offspring.

Step-by-step explanation:

Answer: it creates birth

Step-by-step explanation: can i have brainliest

I will give brainliest answer

Answers

Answer:

The radius of circle is 162 units

A probability experiment consists of rolling a fair 16 sided die. Find the probability of the event below, rolling a 12

Answers

Answer:

1/6

Step-by-step explanation:

I think that is the answer if not sorry, have a nice day!

Pls pick me as brainliest!

Which of the lines below is a line of symmetry?
A. Neither
B. Red
C. Yellow
D. Both

Answers

Answer:

d, both

Step-by-step explanation:

both separe two identical halves :)

Both yellow and red lines are lines of symmetry to the given figure, Option D is correct.

What is Coordinate System?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

We know that the diameter of a circle is a line passing through its center. So, the diameter acts as a line of symmetry dividing the circle into two parts with equal area.

In the given figure both the lines represents symmetry as both the lines are dividing the figure to two equal parts.

Hence, both yellow and red lines are lines of symmetry to the given figure, Option D is correct.

To learn more on Coordinate system click:

https://brainly.com/question/30241634

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