PLEASE HELP!!! How does the multiplicity of a zero affect the graph of the polynomial function?

PLEASE HELP!!! How Does The Multiplicity Of A Zero Affect The Graph Of The Polynomial Function?

Answers

Answer 1

9514 1404 393

Answer:

2, 4, 61cross

Step-by-step explanation:

Consider a zero at x=1.

If it has multiplicity 1, the corresponding factor is (x -1). Now consider the sign of that factor for x = 1.1. The value is (1.1 -1) = 0.1, a positive number.

When the value of x is 0.9, the factor is (0.9 -1) = -0.1, a negative number.

This tells you that values to the left of a zero make the factor(s) associated with that zero be negative. For x-values to the right of the zero, the factor(s) will be positive.

If the multiplicity is even, the product of those factors is positive on either side of the zero. (A negative number to an even power is a positive number.) That is, the graph will not change sign from one side of an even-multiplicity factor to the other. At an odd-multiplicity factor, the graph changes sign.

__

For the problem at hand, the only even-multiplicity factor is (x -1), so the graph will not change sign at x=1. It will touch the axis (be tangent to the x-axis), but will not cross. The other zeros have odd multiplicity (1 or 3), so the graph will change sign there.

It is worthwhile to note that the higher the multiplicity, the "flatter" the graph is at the zero. You can see this in the attachment by comparing the shape of the graph at x=6 with the shape at x=2 (also an upward zero crossing).

_____

Additional comment

You may wonder why the curve is below the x-axis at x=1 when the product of the factors in that neighborhood is always positive. The reason is that there are an odd number of zeros to the right of x=1, so the product of those factors is negative.

PLEASE HELP!!! How Does The Multiplicity Of A Zero Affect The Graph Of The Polynomial Function?

Related Questions

john has 1 chicken jake took one how much does john have left

Answers

Answer:

0 because 1-1=0 and that is the answer

He has 0 because 1-1=0

How many trucks will pass Luann if 90 vehicles passed her??

Answers

Answer:

90????

Step-by-step explanation:

is this a tongue twister or what??

Thank you in advance.

Answers

Answer:

Yes this statement is true because 0/3 is 0

Answer:

False.

Step-by-step explanation:

x = 0 would be the only solution to make the statement true. Anything other than x = 0 will make the statement false.

Monico invests $9,000 at 2% simple interest for 1 year. How much is in the account at the end of the 1 year period ?

Answers

Answer:

9180

Step-by-step explanation:

9000*1.02

Answer:

There will be $8820 in Monico's account at the end of the one year period.

Step-by-step explanation:

9000*0.02 = 180

9000 - 180 = 8820

Have a nice day! :-)

the set of integers between -5 and -9

Answers

Answer:

-6, -7, and -8

Step-by-step explanation:

Pretty simple, just count to the negatives.

51 and 53 HELP PLS!!!!!!!

Answers

Hi!
Answers:

51. w=9/4

53. b=12

Annie borrowed $354 from her parents to buy a tablet. She plans to pay the money in 2 equal payments per month for the next 12 months. How much will each payment be?

Answers

Answer:

$354 divided by 12 equal payments equals $29.50 per month

Step-by-step explanation:

$354 divided by 12 months (also 12 equal payments) = $29.50 per month.


Find the value of ab when a =
9/11
and b =
7/10
The answer is
(Simplify your answer.)

Answers

a= 9/11 and b=7/10

now,

ab = (9/11)×(7/10)

=63/110.......

the value of ab is 63/110 when a = 9/11 and b = 7/10

What is Simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, the values of a and b are 9/11 and 7/10 respectively

thus,

ab = 9/11 * 7/10

simplifying it

ab = 63/110

Therefore, the value of ab is 63/110 when a = 9/11 and b = 7/10

Learn more about Simplification here:

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Simply the expression below using order of operations (5^2 -6^2)+5(8-12 ÷3)

Answers

Answer:

9

Step-by-step explanation:

The first operation is what inside the braces

1-first comes the multiple and the division

2- then the + and the -

1- (25-36)+5(8-4)

2- (25-36) + 5×4

3- (-11) + 20 =9

Compute the mean of the discrete probability distribution below:

X P(X)
2 0.20
3 0.25
4 0.45
5 0.10

Answers

Answer:

Step-b2

0.20

3

0.25

4

0.45

5

0.10

y-step explanation:

The sale price of a laptop bag is $35.00. This is 80% of the original price.

What was the original price of the laptop bag?

Answers

Answer:

$43.75

Step-by-step explanation:

(35/8)x10=43.75

plzzzz I need help

Name the geometric term(s) modeled by each object. 16. 17. 18. 19. a tablecloth 20. a partially-opened newspaper 22. a knot in a string 21. woven threads in a piece of cloth Draw and label a figure for each relationship. 23. Line AB intersects plane Q at W. 24. Point T lies on WR. 25. Points Z(4,2), R(-4, 2), and S are collinear, but points Q, Z, R, and S are not. 26. The coordinates for points C and R are (-1, 4) and (6,4), respectively. RS and CD intersect at P(3,2). Lesson 1-1 Points, Lines, and Planes 9​

Answers

Geometric terms are terms used for describing geometric objects

The correct responses for the geometric term modeled by each object are as follows:

16. The geometric term modelled by the tip of the needle is a point

17. The figure modelled by he rail track are lines including; Parallel lines and  intersecting lines

18. The figure modelled by the cloth is a plane with points

19. A table cloth models a plane

20. A partially opened newspaper models an angle, and two planes intersecting

21. Woven threads in a piece of cloth models intersecting lines

22.A knot in a string models a point on a line

Required:

To draw and model a figure for each relationship

Solution:

23. The required drawing of the model of line AB intersecting at Q and W is attached

24. The required drawing of the model of point T that lies on [tex]\overset \longleftrightarrow {WR}[/tex] is attached

25. The required drawing of the model of point Z(4, 2),  R(-4, 2), and collinear point S, with Q, Z, R, and S are not, is attached

26. The given coordinates are; C(-1, 4) and R(6, 4). The point P(3, 2) is the intersection of the lines [tex]\overset \longleftrightarrow {RS}[/tex] and [tex]\overset \longleftrightarrow {CD}[/tex]

The required drawing is attached

Learn more about geometric terms here:

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An athlete runs two miles in 13.5 minutes. How many minutes is this per mile?

Answers

Answer:

6.75 minutes / mile.

Step-by-step explanation:

Time: 13.5 minutes

distance: 2 miles

rate: ?

You want the units to be minutes / mile. That's not the usual units for a rate. You have to be careful how you set this up.

13.5 minutes

2 miles

13.5 /2 = 6.75 minutes / mile = 6 minutes 45 seconds / mile

describe impulse buying

Answers

Answer:

impulse bullying.

Step-by-step explanation:

Impulse bullying is like he is less likely to be a gang member. His bullying is more impulsive and may appear to be more random. Even when authorities are likely to impose penalties, he finds it impossible to prevent himself from engaging in the activity. He might be suffering from ADHD. Medication, behavioral therapy, and social skills training may help him. He will also most likely be bullied.

Find the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.

(Answer quickly)

Answers

The slope is undefined

Answer:

B

Step-by-step explanation:

x = 4 is a vertical line parallel to the y- axis with an undefined slope

Plz help I am confused

Answers

Answer:

-18/7 or -2 4/7

Explanation:

-3 2/7 - ( -5/7 )

-23/7 + 5/7

-18/7 Improper fraction

-2 4/7 Mixed Number

What is the closest side lenght of this square? Area=99 square units​

Answers

Answer:

3[tex]\sqrt{11}[/tex]

Step-by-step explanation:

[tex]\sqrt{99}[/tex] = 3[tex]\sqrt{11}[/tex]

The area of a rectangle is 99 square units. Its width measures 9 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

Multiply 25 by the difference of 34.78 and 12.99.

Answers

544.75 . Hope this helped !
Hope you understood pls give me the brainliest :)))

how do you write 9/11 as a decimal

Answers

Answer:

0.81

Step-by-step explanation:

Answer:

0.81818181818181....

Step-by-step explanation:

It is irrational

12 4 + 2 X 3 Evaluate 2 O A) 11 OB) 13 OC) 20 OD) 27​

Answers

4 + 2 · 3² = 4 + 2 · 9 = 4 + 18 = 22

22 : 2 = 11

Answer → A)

which is small 1.2 or 1.7​

Answers

Answer:

1.2 is less so your answer should be 1.2.

= 1.2

If you're measuring mountains, they're both huge.

If you're measuring green peas, they're both small.

Either way, 1.2 is smaller than 1.7 .

2^-5/-4^3
with work please

Answers

9514 1404 393

Answer:

  -1/2048

Step-by-step explanation:

The Order of Operations tells you to evaluate each of the exponential expressions first. Then you do the division.

  = (1/32) / (-64)

  = -1/(32·64) = -1/2048

__

You can also rewrite the expression in terms of powers of 2.

  2^-5/-4^3 = -1/((2^5)(2^2)^3) = -1/(2^5×2^6) = -1/2^11

  = -1/2048

_____

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  4 = 2^2

  2^5 = 32

  4^3 = 64

Given are the slopes of several lines. Indicate whether each line is horizontal, vertical, rises from left to right, or falls from left to right.

Answers

Answer:

Rises from left to rightVertical LineHorizontal LineFalls from left to right

Step-by-step explanation:

Keep in mind we read graphs from left to right just like how we read and write.

A positive slope will be increase from left to right. A negative slope with decrease left to right. A vertical line will have a undefined slope.A horizontal line will have a slope of 0.

We can use those tips to solve the problem.

Option A:

4/5 is a positive slope so it will rise from left to right.

Option B:

No slope automatically means "undefined" so that falls in the definition of a vertical line.

Option C:

A slope of 0 is defined as a horizontal line.

Option D:

-4/5 is a negative slope so it will fall from left to right.

Best of Luck!

PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH.

Answers

Step-by-step explanation:

7.3 when rounded to the nearest tenth

Ryan has 21 pencils. He wants to put the same number of pencils in each of 3 pencil holders. How many pencils will he put in each pencil holder

Answers

21 divided by 3 equals 7

7 pencils in each holder

:]

Ryan will put 7 pencils in each pencil holder.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in "m" in different ways and if following it, a second event can occur in "n"  ways; then the two events in succession can occur in m × n  ways.

Given that Ryan has 21 pencils, wants to put the same number of pencils in each of the 3 pencil holders.

Pencil = 21

Pencil holder = 3

Therefore, we will do as 21 divided by 3

21/3 = 7

Hence, there are 7 pencils in each pencil holder.

To learn more about the unitary method, please visit the link below;

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Given the list of numbers, 3, 2, 6, 3, 9, 5, 12, 7, if the pattern continues, what is the sum of the ninth and tenth numbers?

Answers

Answer:

Step-by-step explanation:

Every other one beginning with the first 3 adds 3 to the preceding number that has an odd position.

So the odd positions go up 3 6 9 12

And the next odd position is 15 which is the nineth term.

It's hard to tell what the even ones are doing. It could be anything just about. I'm guessing its a 9. So the tenth term is 9.

The sum of 9 and 15 = 24

If someone gives you a more consistent answer, take it.

three candidates sat for mathematics examination and their probabilities of passing are 4/5,3/5 and 2/5.find the probability that at least one passed?​

Answers

hksjhuja kanhshke kkajbevbeks jjsbbwne k

I need help getting the equation

Answers

Answer:

2.5v + 85

v = 12

Step-by-step explanation:

115 - 85 = 30

30 / 2.5 = 12 (He needs to go 12 times)

23. (3 + d4)2 - (c + d), if c= -1 and d= 2

Answers

Answer:

here u go

Step-by-step explanation:

ur answer is 21

If a:b= 1:2 then find the value of (3a+b) : (4a+ 2b)

Answers

Answer:

(3a + b) : (4a +2b) = 5 : 8

Step-by-step explanation:

For:

[tex]a : b = 1 : 2[/tex]

Express these ratios into fractions:

[tex] \frac{a}{b} = \frac{1}{2} [/tex]

Simplify:

[tex]2a = b - - - \{eqn \: (n) \}[/tex]

For:

[tex](3a + b) : (4a +2 b)[/tex]

Express into fractions:

[tex] = \frac{(3a + b)}{(4a + 2b)} \\ [/tex]

substitute for b as 2a from equation (n):

[tex] = \frac{(3a + 2a)}{(4a + 4a)} \\ \\ = \frac{5a}{8a} \\ \\ = \frac{5}{8} [/tex]

express into ratios:

[tex] = 5 : 8[/tex]

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