consider polynomial function f f(x)=(x-1)^2(x+3)^3(x+1)
use the equation to complete each statement about this function
The zero located and x=1 has a multiplicity of __ and the zero located at x=-3 has a multiplicity of __. The graph of the function will touch, but not cross, the x-axis at the x-value of __.

Answers

Answer 1

Answer:

x1=-3, x2=-1,x3=1

Step-by-step explanation:

not sure if this helps but it did for me

Answer 2

The blanks will have values 2, 3,  and 1 respectively.

What is zero of a function?

Zero of a function is defined as the roots of the function for which the value of the function will be 0 at those points.

If p is the zero of the function f(x)=0 then f(p)=0.

We have,

f(x) = (x-1)² (x+3)³ (x+1)

Now,

The zero is located at x=1 and has a multiplicity of 2.

Because the number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity.

So,

Now,

The zero is located at x = - 3 and has a multiplicity of 3.

And,

The graph of the function will touch, but not cross, the x - axis at the x - value of 1.

Learn more about zero and multiplicity here:

https://brainly.com/question/14059007

#SPJ2


Related Questions


Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 5–10.
-10
-5
0
5
10
+
5
O!
0
-10
5
10
-10
-5
0
5
10
DONE

Answers

Answer:

20

Step-by-step explanation:

good luck

Donald spent half as much as Patricia did on presents this year, and Carl spent 3 times more than Donald. If the total spent between the three of them was $72, how much did they each spend on presents this year?

Answers

Answer:

Patricia spent $24 on presents, while Donald spent $12 and Carl spent $36.

Step-by-step explanation:

The problem is to solve how much money each person spent on presents in the year, through a series of equivalences. In order to determine how much money each one spent, the following equation must be proposed:

Patricia = X

Donald = 1 / 2X

Carl = 3/2 X

X + 1 / 2X + 3 / 2X = 72

1X + 0.5 X + 1.5 X = 72

3X = 72

X = 72/3

X = 24

Thus, Patricia spent $ 24 on presents, while Donald spent $ 12 (2/24) and Carl spent $ 36 (1.5 x 24).

4(5a + 3) = 20a + 12 represent which property of multiplication?

Answers

Answer:

Distributive property of multiplication

Step-by-step explanation:

The distributive property of multiplication is basically distributing the terms outside the bracket to all the terms inside the bracket. In this case, 4 is multiplied to 5a as well as 3.

Ray earns $15 an hour for up to 40 hours a week. If he works more than 40 hours a week, he is paid time and a half. That means Ray is paid 150% of his hourly wage for every hour he works over his normal 40 hour work week. How much would Ray's paycheck be if he works 46 hours in one week?

Answers

Answer:

$735

Step-by-step explanation:

40 hours x $15 per hour = $600

6 hours x $22.50 = $135

Add both dollar amounts together

A function has a constant doubling time. What type of function does this represent?
A. Decreasing linear
B. Exponential decay
C. Exponentia growth
D. Increasing linear

Answers

C. Exponential growth :)

Answer:

C. Exponential growth

Step-by-step explanation:

A punch recipe calls for 1/2 gallon of ginger ale, 1/2 qt of
lemonade, and 8 cups of cherry punch. How many pints
of liquid ingredients does the recipe

Answers

Answer: 14

Step-by-step explanation:

1/2 gallon =2 quarts, so add the 2 quarts and the 1 quart of ginger ale, plus the one pint of lemonade and this makes 14 cups of punch

DOES ANYONE KNOW THIS?!! I need an answer fast

Answers

about 30%. hope this helps :)

Plzzz help. No wrong answers plss. I'm giving everything. Brainlist, thanks, and more.

Answers

I think it is D hope it helps

Harper plans to purchase her school pictures. The prints cost $108 plus any add-ons she wants to purchase. If she saves $18 per week, which solution represents how many weeks, x, it will take Harper before she can purchase her school pictures?

Answers

Answer:

It will take 6 weeks

Step-by-step explanation:

Weeks = x

$18x = $108

X = $108/$18

X = 6

So 6 weeks

What is the relationship between the area of a triangle and the area of a rectangle?

Answers

let area of triangle be x

let area of rectangle be y

Then,

2x = y

The area of a triangle is found by using the same equation as finding the area of a rectangle just it is divided into 2

Chris is trimming trees. He can trim 2/3 of a tree in 1/2 of an hour. At what rate can Chris trim trees​

Answers

Answer:

1 tree every 45 mins

Step-by-step explanation:

Answer:

he trims i 1 and 1/3 trees an hour

it would take him 45 minutes to trim 1 tree

Step-by-step explanation:

the diagram below shows the tile border shown in gray that surrounds a kiddie pool how many square feet does the tile border cover​

Answers

Answer:

72 square feet.

Step-by-step explanation:

You could do this by figuring out directly how many tiles are needed to make the border B...

It is easier to find the area of the large area and subtract the white pool

Large rectangle = 18 * 9 = 162

Small rectangle = 15 * 6 = 90       Subtract

Area of border =               72

Hellllpppppppppppppppppppp plz

Answers

Answer:

It is an alternate angle

Joe would have earned $504 for working a 42 hour week but he was sick and missed 4 hours. How much did he earn?

Answers

Answer: $456

Step-by-step explanation:

$504/42 hr = 12 per hour

4 hours = $48

$504 - $48 =

= $456

Answer:

He earned $456

Step-by-step explanation:

504/42=12

42-4=38

38*12=456

Good Luck!!!!

What is the x-coordinate of point D? Write the coordinate as a decimal.​

Answers

Answer:

2.5

Step-by-step explanation:

Help me pleaseeee (10 points)

Answers

Answer:

1.2 m off the ground

heeeeeeeeeeeeeelp
Please help!​

Answers

Answer:x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Since it's a equilateral triangle, all sides are equal

So you can do the equation 3x - 1 = 11

You then add 1 on both sides, leaving the equation as 3x = 12

You divide both sides by 3, which leaves you with x = 4

Please help me asap I don't understand this!!

Answers

Answer:

[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]

Step-by-step explanation:

Given

The attachment

Required

Express the area as a sum of stores and parking lots

First, calculate the area of the stores

[tex]Store\ A = 25\ by\ 10[/tex]

[tex]Store\ B = 25\ by\ w[/tex]

[tex]Stores\ A\ and\ B = 25\ by\ 10 + w[/tex]

The area is then calculated as:

[tex]A_1 = 25 * (10 + w)[/tex]

Next, calculate the area of the parking lots

From the attachment, we have the following

[tex]Parking\ lot\ A = 13.5\ by\ 10[/tex]

[tex]Parking\ lot\ B = 13.5\ by\ w[/tex]

[tex]Parking\ lots\ A\ and\ B = 13.5\ by\ 10 + w[/tex]

The area is then calculated as:

[tex]A_2 = 13.5 * (10 + w)[/tex]

The area of the shopping centre is then calculated as:

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 25*(10 + w) + 13.5(10 + w)[/tex]

A passenger train has 812 people seated. Each train seats 70 people. So there are 11 train cars filled. How many people are in car not full

Answers

The answer I’m pretty sure is 42

Find the slope of the
given graph.

Answers

Answer:

X=-4

Step-by-step explanation:

No y value so just count ur x value

Write the equation of the line that passes through the given points
(0,2)) and (-9, -3)

Answers

Step-by-step explanation:

Y= m x+ C

m (slope ) = 2 - (_3) / 0 _( - 9 )

= 5 / 9

( O, 2 ) Satisfying equation

2= 5/9 ( 0) + C

C= 2

So eq. is

y= 5/ 9 X + 2

If y varies directly as x and x=2 when y=−4, find y when x=−6.

Equation: ____________

Solution: y = ___________

Answers

Answer:

Equation: x × -2 = y

Solution: y = 12

Step-by-step explanation:

if (x = 2) is (y = -4) then (x = 1) is (y = -2) so if (x = -6) is (y = 12) if we follow the equation [x × -2 = y] which was found using the first set of variables and dividing each by 2.

Help please!!!! 8. 9. And 10.

Answers

Answer:

9 is 3rd -- 8 is last -- 10 is first --

Step-by-step explanation:

***If this answer Helped you out please press the heart Icon, also It would be nice if you made me brainliest. Enjoy Your Day!***

9-3/1/3+1
Please solve​

Answers

Answer:

20/3 or 6 2/3

Step-by-step explanation:

Hope this helps :)

Answer:

9

Step-by-step explanation:

what is the lenght of AB

Answers

Answer:

Uh I need more information to answer that.

Step-by-step explanation:

u only posted this: what is the lenght of AB. That isn't even how u spell length,  

AB could be anything.

I'm confused, how would I do this?

Write a function in the form y = mx + b for the line that passes
through the points (2, 4) and (6, 16).

Answers

y=3x-2 i believe is the answer i did y2-y1 divided by x2-x1 which is 16-4 divided by 6-2 and 16-4 is 12 and 6-2 is 4 and 12/4 is 3 so 3 is your slope (m) so to find b you chose either (2,4) or (6,16) either one will work and i chose (6,16) then your plug in 16 for y and 6 for x so your equation is 16=3(6)+b then 3(6) is 18 so your new equation is 16=18+b then you subtract 18 from both sides to isolate b and 16-18 is -2 so your final equation is y=3x-2 you can do the same thing with the (2,4) point and end up with the same answer

PLESSS SOMEONE KNOW THIS

Answers

Answer:

D.

Step-by-step explanation:

Order of operation states that in order for the addition to be done first, it must be in a set of parenthesis. Then, 4 multiplied by the sum would mean the addition has to be done first. so, yeah.

Don't know if that helps. I hope it does. Have a great day

A chocolate maker melts three blocks of chocolate weighing 5.4 ounces, 6.1 ounces, and 5.7 ounces. If
each truffle takes 0.4 ounces of chocolate, how many truffles can he make?
O A 41
OB. 42
OC. 43
O D. 44

Answers

Answer:

43 truffles

Step-by-step explanation:

                       First add all of the weights together

5.4+6.1+5.7=17.2

                      Divide the total chocolate by the weight of a truffle

17.2/0.4=43

Answer:

43

Step-by-step explanation:

1. The National Football League (NFL) has been finding new ways to reduce the risk of its players
getting concussions. For example, helmets have changed to keep players more safe. In the 2017-
2018 season, 190 athletes reported concussions out of 1700 total players. In the 2018-2018
season, 135 concussions were reported out of total 1650 players.
a. Make a two way table displaying this information.
TOTAL
b. Calculate the risk of a football player reporting a concussion in 2017-2018 and 2018-2019.
C. Find the absolute risk reduction.

Answers

Answer:

Reduced/depressed

courageously/daringly

Boost/inflate

Explanation:

The following statement displays the recommendation of National Football League's(NFL) rule to wear new and lighter helmets by the players to diminish the chances of head injury during collisions between players. However, it has led the players to play more brazenly and fearlessly that eventually may cause the expansion of the number of collisions suffered by NFL players due to the valiant behavior of the players. This equates the ratio and leading to no improvement in the reduction of injuries among them even after this rule.

Determine which of the following is the solution to the equation below.

x cubed = 12

Answers

The answer is option D
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