How does the multiplicity of a zero affect the graph of the polynomial function?
Select answers from the drop-down menus to correctly complete the statements.
The zeros of a seventh degree polynomial function are 1 (multiplicity of 2), 2, 4, and 6 (multiplicity of 3).
The graph of the function will cross through the x-axis at
Choose... (a) 1 only b) 1 and 2 only c)2 and 4 only d) 1, 2 and 6 only e) 2, 4 and 6 only)

The graph will only touch (be tangent to) the x-axis at
Choose...(a) 1 only b) 6 only c)2 and 4 only d) 1, 2 and 6 only e) 2, 4 and 6 only)

At the zero of 6, the graph of the function will
Choose...(a) cross through while hugging b)come close to but never touch c)be tagent to) the x-axis.

Answers

Answer 1

Answer:

The multiplicity of a root affects the shape of graph of a polynomial. If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the root. If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis

Step-by-step explanation:

Tbh I don't know the answer I just hope this helps


Related Questions

2.find the domain,range and function.
x,y
-4,8
-3,1
0,-5
-3,2

Domain:
Range:
Function

Answers

Step-by-step explanation:

domain ={-4,-3,0,}

range ={8}

find x
please solve this​

Answers

Answer:

120°

Step-by-step explanation:

ABCD is a cyclic Quadrilateral.

[tex] \angle CBE [/tex] is the exterior angle of cyclic quadrilateral ABCD.

Since, the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.

[tex] \therefore x = m\angle ADC\\\\

\therefore x = 120\degree [/tex]

Simplify the expression.
4 (-y + 2) – 3y

A. y – 8
B. -7y + 2
C. -7y + 8
D. y + 8

SHOW YOUR WORK PLZSSSSSS

Answers

Answer:

B

Step-by-step explanation:

Expand to get -4y+2-3y. Combine like terms to get -7y+2.

Write a system of equation for the following scenario.
Roshaun has saved $150 and continues to save $10 each week. Keegan starts with $0 and saves $25 each week.

Answers

Answer:

Let's start out with the amount of money each person will have over any period of time. Let t = time in weeks.

Roshaun will have 150 + 10t. Keegan will have 25t. we want to know when they will have the same amounts, so we set the 2 equations equal and solve for t:

150 + 10t = 25t

150 = 25t - 10t

150 = 15t

150/15 = t

10 = t

Therefore, in 10 weeks they will both have the same amount:

Roshaun: 150 + 10(10)--->150 + 100 = $250

Keegan; 25(10) = $250

Hope this helps!

Step-by-step explanation:

Please mark me as the brainliest answer and please follow me

to find the amount of savings roshaun and keegan will have, let x represent the no. of weeks.
total savings roshaun has = $150 + $(10x)

total savings keegan has = $(25x)

Travis goes to the book fair where paperback books are $1.50 and hardback books are $3. Travis buys five paperback books and two hardback books. How much change will Travis receive from a $20 bill?

Answers

5x1.50 = 7.5
2x3 = 6

7.5 + 6 = 13.5
Change Travis will recieve
= 20 - 13.5
= $6.5

Using the appropriate arithmetic operations, the amount of change Travis is entitled to is :$6.50

Total cost of paper back books :

($1.50 × 5) = $7.50

Total cost of hardcover books :

($3 × 2) = $6

Total cost = $7.50 + $6.00 = $13.50

Change = $20 - $13.50 = $6.50

Therefore, Travis will get a change of $6.50

Learn more : https://brainly.com/question/18106342

What is 1350 as a fraction

Answers

Answer:

it is the same as 1350/1

Step-by-step explanation:

so it is being divided by 1, which means it is the same thing.

Answer:

Step-by-step explanation:

1350/1. any whole number you place over 1.

Which number line correctly shows 0.8 + 0.3?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. Is the correct way to show the problem.

Step-by-step explanation:

A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3

C: C shows 0.8 - 0.3. Remember + goes right - goes left.

D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.

Charlie bought two holes in 3/4 of pears for $0.76 per pound and 2 wholes and 3/4 lb of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes

Answers

Answer:

Hh

Step-by-step explanation:

Please Help me. Thanks​

Answers

y = 3/2x + 3

I hope this helps!

insert three arithmetic means between 7 and 15​

Answers

Answer:

9, 11 , 13

Step-by-step explanation:

Find the average of 7 and 15, that is

[tex]\frac{7+15}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11

We now have 7, 11, 15

Now find the average of 7 and 11, 11 and 15

[tex]\frac{7+11}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9

[tex]\frac{11+15}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13

Thus the 3 arithmetic means between 7 and 15 are

9, 11, 13

Which statement correctly compares the function shown on this graph with
the function y = 7x - 10?
Plz help me with this

Answers

Answer:

The answer is A, the function shown on the graph has a smaller rate of change, but a higher starting point. hehe your welcome.

Step-by-step explanation:

The function shown in the graph has a smaller rate of change but a higher starting point. Option A is correct.

Given that,
To compare the function shown in the graph with y =7x -10.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The slope of the function y =7x - 10 is m = 7, and the slope of the function in the graph is m = 6.
The intercept of the function in equation form is -10 while the intercept of the function shown in the graph is -6.

Thus, the functions shown in the graph have a smaller rate of change but a higher starting point. Option A is correct.

learn more about function here:

brainly.com/question/21145944

#SPJ5

CAN SOMEONE PLEASE HELP ME?

PLEASE. There are four questions that I just need help with :(

Answers

Should’ve added more points fam

Evaluate the expression if f = 15 g = 5 and h = -45 F - h --------- 10

Answers

Answer: 3

Step-by-step explanation:

-15- -45= 30

30/10=3

The answer is to this is 3

help plz its do in 10 min

Answers

Answer:

No offence

Step-by-step explanation:

but have you tried looking it up?

solve 1) y"+y'+y=x²;​

Answers

Answer:

i will get a wrong aswer

Step-by-step explanation:

sorry

(2,5),( 3, 6) Rate of change and slope

Answers

Answer:

1 for both slope and rate of change

Step-by-step explanation:

Slope is another word for the rate of change of y with respect to x.

Some equations have the form y=kx, where k is a number.

Which equation CANNOT be written in the form y=kx?

y=x

y=x+3

y/2=x

y= ‐1/10x

Answers

Answer:

y=x+3

Step-by-step explanation:

The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:

y=x is possible if the value of k is 1, provided that both y and x are of the same value.

y/2=x is possible because y=2x, provided that 2 is the value of k.

y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.

Can someone please explain how I am supposed to do this I do not understand at all whatsoever.

Answers

Answer:

B. (6,-3)

Step-by-step explanation:

3x - 5y ≥ 10

(1,4) IS NOT a solution to the equation

3(1) - 5(4) ≥ 10

3 - 20 ≥ 10

- 17 ≥ 10

3x - 5y ≥ 10

(6,-3) IS a solution to the equation

3(6) - 5(-3) ≥ 10

18 + 15 ≥ 10

33 ≥ 10

3x - 5y ≥ 10

(-5,-2) IS NOT a solution

3(-5) - 5(-2) ≥ 10

-15 + 10 ≥ 10

-5 ≥ 10

3x - 5y ≥ 10

(2,0) IS NOT solution

3x - 5y ≥ 10

3(2) - 5(0) ≥ 10

6 - 0 ≥ 10

6 ≥ 10

i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??

Answers

Answer:

i believe its the rise and the run of the slope.

Step-by-step explanation:

i believe its something similar to this photo

What is the successor of 2,550

Answers

Answer:

2551

Step-by-step explanation:

The successor of a number is 1 more than it.

PLS GIVE BRAINLIEST

solve the equation
pls help

Answers

X= root square of y-49

Si en un triángulo un ángulo mide 30º y otro 70º¿cuánto mide el tercer ángulo?

Answers

Answer:

El tercer ángulo es 80

Step-by-step explanation:

En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)

A full strip plus another half of a strip of staples contains 315 staples

Answers

Answer:

[tex]210 staples[/tex]

Step-by-step explanation:

Lets solve this equation:

[tex]x(fullstrip)+\frac{1}{2}x(halfstrip)=315.[/tex]

Combine terms:

[tex]x+\frac{1}{2}x=\frac{3}{2}x \frac{3}{2}x=315[/tex]

[tex]x=315*\frac{2}{3}[/tex]

[tex]x=210[/tex]

So a full strip contains 210 staples.

Hope this helps :D please hit the crown

How many solutions exist for the given equation? (x + 12) = 4x - 1 o zero infinitely many ​

Answers

Time of the 20 to the x then get 420

PLS SQDANCEFAN. PLEASE SHOW ALL WORK!!! A bag contains 27 coins, all of which are either quarters or dimes. If their total value is $5.55, how many quarters and how many dimes are there?

I WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

There are 19 quarters and 8 dimes.

Step-by-step explanation:

We will let x denote the amount of quarters.

Since there are 27 coins in total, (27-x) will be the amount of dimes there are.

Since each quarter is worth $0.25, the total value of quarters is given by 0.25x.

And since each dime is worth $0.10, the total value of dimes is given by 0.1(27-x).

We know that the total value of all 27 coins is $5.55. So, we can write the following equation:

[tex]0.25x+0.1(27-x)=5.55[/tex]

So, we will determine the value of x, the amount of quarters there are.  

First, let’s multiply everything by 100 to remove the decimals. So:

[tex]100(0.25x+0.1(27-x))=100(5.55)[/tex]

Distribute:

[tex]25x+10(27-x)=555[/tex]

Distribute:

[tex]25x+270-10x=555[/tex]

Combine like terms:

[tex]15x+270=555[/tex]

Subtract 270 from both sides:

[tex]15x=285[/tex]

Divide both sides by 15:

[tex]x=19[/tex]

So, the value of x is 19.

This means that there are 19 quarters.

So, the amount of dimes must be 27-19 or 8 dimes.

9514 1404 393

Answer:

19 quarters8 dimes

Step-by-step explanation:

When working mixture problems, it can be convenient to write a single equation using the variable to represent the highest-value contributor to the total value.

Here, we can let q represent the number of quarters. Then the number of dimes is 27-q.

The total value (in cents) is ...

  25q +10(27 -q) = 555

  15q +270 = 555 . . . . . . . collect terms

  15q = 285 . . . . . . . . . subtract 270

  q = 19 . . . . . . . . divide by 15

  27 -19 = 8 . . . . . the number of dimes

There are 19 quarters and 8 dimes.

_____

Check

19 quarters have a value of 19×$0.25 = $4.75

8 dimes have a value of 8×$0.10 = $0.80

Then the total value of the 27 coins is $4.75 +0.80 = $5.55

_____

Additional comment

This is equivalent to working the problem by substitution where you write two equations ...

d + q = 2710d +25q = 555

Then solve for d and substitute, leaving the variable q.

  d = 27 -q

  10(27-q) +25q = 555 . . . . the equation we wrote above

Of course, this pair of equations can be solved any convenient way, including elimination, matrix methods, and graphing.

You will find that if you eliminate the 'q' variable, you may end up dealing with negative coefficients in the equation. That is why I prefer to keep 'q' and eliminate 'd'.

Which of the following statements is NOT true

Answers

The last answer is NOT true

What is a complete circle in radians?

Answers

Answer:

The radian is a unit of measure for angles used mainly in trigonometry. ... Whereas a full circle is 360 degrees, a full circle is just over 6 radians. A full circle has 2π radians (Roughly 6.28) As seen in the figure above, a radian is defined by an arc of a circle.

PLEASE PLEASE PLEASE HELP!

Answers

Answer: Interval Notation:

(– ∞,–1) ∪ (–8, ∞) Set-Builder Notation:

{x | x ≠–1}, but I don’t know to the Question #2. (III), sorry. :(

Step-by-step explanation: Set up the composite function and evaluate, then find the domain of the result. (Neither)

An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.

Answers

I think it’s 9 percent

Guys, please help! I'm reaallllyyyy desperate!

Answers

Answer:

So first, let's substiute the variables into numbers based on your problem. We get -(-1)-(5)^2+3(-1)(5). If we solve that expression, we will get -39. So, your answer is -39. Hope this helps and good luck

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-a-b²+3ab

-(-1)-5²+3(-1×5)

+1-25-3+25

-24-3+15

-27+15

=-12

Other Questions
Frederick Douglas, a freed slave and prominent abolitionist, once said, "Powerconcedes nothing without a demand." What did he mean by this? (Your answermust be at least 2 sentences long.) * 7. How old is a mineral that contains25 percent U-235? 5) Megan is saving to buy a birthday present for her sister.She has $15 and plans to save $6 each week. If the presentshe wants to buy is $51 how many weeks will it take her tosave the money? When assessing the scene, you should consider which of the following: A. Danger to yourself and othersB. how many people are injuredC. Where the location isD. Where the nearest telephone isE. all of the above Does anyone know the Spanish pronouns in order pls help 8. What was the MOST significant contribution of the Marquis de Lafayette during the American Revolution?O A He became the sole leader of the Continental Army.B He gained military and naval support from France at the battle of Yorktown.O C He helped identify Benedict Arnold as a traitor.OD He taught the Continental Army how to fight a European style war. In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form. The State of Adaven issued $50 million of perpetual bonds in 1990. The bonds were issued in $100 denominations with an annual coupon interest rate of 5%. Determine the rate of return or current yield on these bonds if they are purchased at the current price of $40.a. 12.5%.b. 8.0%.c. 5.0%.d. 1.25%. What was the population of the Aztec empire? HELP ASAP?!?!?!? QUADRATIC REGRESSION MODELSMake a scatter plot of the data below (10,12.5) (20,36) (30,69.5) (40,114) (50,169.5) (60,249) (70,325.5) Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest hundredths place. increased amounta of carbon dioxide in Earth's atmosphere may lead to global warming. what might global warming then lead to When a potential difference of 10 V is placed across a certain solid cylindrical resistor, the current through it is 2 A. If the diameter of this resistor is now tripled, the current will be:______.A) 18 A.B) 2/3 A.C) 3 A.D) 2/9 A.E) 2 A. Which is the better buy?2-quart carton of pineapple juice for $2.007-cup carton of pineapple juice for $3.01 i really need help and fast The wind around a surface low pressure in the Northern Hemisphere blows __. a. counterclockwise perpendicular to isobars.b. clockwise perpendicular to isotherms. PLZZZZZZZZ HELP WILL MARK YOUPLZZZZZZZZZZZThe table below shows the amounts of lime juice and sugar used in each container of limeade. The ratio of lime juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.Lime Juice Sugarone-fifth cup 1 cup2 cup 10 cup3 cup 15 cup ANSWERS one-fifth 4 two-thirds 5 Select the correct answer.Which sentence best explains the authors choice for structuring this passage? i think of a number x double it add eleven i get 25 What happened on July 4th? *1. Congress declared war on Great Britain2. Congress published the Declaration of Independence3. Congress voted to accept the Declaration of Independence santa arrived at the party just to the nick of time, please find the pun and gimme me the 2 meanings of the pun!