Determine the multiplicity of the roots of the
function k(x) = x(x + 2)3(x + 4)2(x − 5)4.

Answers

Answer 1

Answer:

1,3,2,4

Step-by-step explanation:


Related Questions

What is the equation of the line of symmetry for the parabola represented by the equation y=−x^2+2x+6?

Answers

Answer:

the answer would be t56 im guess ing along with x

Step-by-step explanation:

The line of symmetry for the parabola represented by the equation is

x = 1.

What is a parabola?

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

Given an equation of a parabola, y = -x²+2x+6

Factorizing the equation, we get,

x = 1+√7 or x = 1-√7

We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.

We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:

(1+√7 + 1-√7)/2 = 1

Hence, the equation represents the line of symmetry of the given parabola is x=1.

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The amount of seed in a bird feeder decreases 10.8 ounces in 5 days. The amount of seed decreases the same amount each day. What is the change in the amount of seed in the feeder in 7 days?

Answers

10.8 divided by 5 is 2.16, so if you multiply that by 7 you will get 15.12, which is the answer!!

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.

The change in the amount of seed in the feeder in 7 days is 15.12 ounces.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

A man can run 3 miles in 60 minutes.

The time to run 1 mile is 20 minutes.

We have,

The rate at which the amount of seed decreases.

10.8 ounces = 5 days

Divide both sides by 5.

10.8/5 ounces = 1 day

Multiply 7 on both sides.

7 x 2.16 ounces = 7 days

15.12 ounces  = 7 days

This means that in 7 days, the amount of seed decreases by 15.12 ounces.

Thus,

If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.

The change in the amount of seed in the feeder in 7 days is 15.12 ounces.

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Expand and simplify (x + 3)(x-4)

Answers

answer: x^2x-12 (by the way ^2 is a square)

Answer:

2x -1

Step-by-step explanation:

x*x =2x 3-4 =-1

2x+-4

Does 80/100 equal -8

Answers

Answer:

No.

Step-by-step explanation:

80/100 equals 0.8

Kiara made the table below to show the IQ scores and grade point averages (GPAs) of students in her class. She made another table to show the standardized test scores and IQ scores.



IQ, GPA, and SAT Scores
IQ
GPA

IQ
Standardized Test Score
120
3.7

120
1540
85
2.3

85
800
110
3.0

110
1,200
96
2.7

96
1000
100
2.9

100
1100

She graphs the data in each table and writes the rounded values as shown for the regression line y = a x + b.

I Q and G P A. a = 0.04. b = negative 0.9. I Q and Standardized Scores. A = 20. b = negative 924.


Next, Kiara uses the steps below to predict a student’s standardized test score based on the student’s GPA of 4.0.

Step 1 Write the equation of the trend line for IQ and GPA.
y = 0.04 x minus 0.9
Step 2 Write the equation of the trend line for IQ and standardized test score.
y = 20 x minus 924
Step 3 Find the IQ that is expected from a GPA of 4.0.
y = 0.04 x minus 0.9. 4 = 0.04 x minus 0.9. 4.9 = 0.04 x. 122.5 = x.
The IQ is about 122.5.
Step 4 Find the corresponding standardized test score for an IQ of 122.5.
122.5 = 20 x minus 924. 122.5 = 20 x minus 924. y = 523.
The standardized test score is 523.

In which step did Kiara make the first error?
step 1
step 2
step 3
step 4

Answers

Answer:

Step 4 D

Step-by-step explanation:

Answer:

step 4

Step-by-step explanation:

Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your answer to the nearest hundredth, and place a 0 in the ones place (such as 0.12). Need answers ASAP

Answers

well 1 pound should cost $3 so do the math lol

What is the missing term in the trinomial expression below?
(2x+2)(7x+8)=14x2+_______+16
A. 14x
B. 30x
C. 9x
D. 5x

Answers

Answer:

14 i hope this leads you into the good

The expression (x^3)(x^−17) is equivalent to xn. What is the value of n?

Answers

Answer:

-14

Step-by-step explanation:

(x^3)(x^−17) =x^(3 - 17) =x^-14n = -14

n = -14

(x^3)(x^−17) =

x^(3 - 17) =

x^-14

(x+1)(x+5)≤0
Solve and write solution in interval notation​

Answers

Answer:

just multiply first x+1 to x+5 then add and subtract

use some or all numbers 16,17, and 23 and/or 24 to make sum 100. You may use a number more than once.


PLS HELP

Answers

Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!

how many solutions do the equations y=3x+4 and 3y-6x=2 have?​

Answers

Answer:

1 solution

Step-by-step explanation:

You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.

please help!!!!!!!!!!!

Answers

Answer:

x= 40

Step-by-step explanation:

The reason this is so is because a straight line's degree is always 180. And 4(40)-20=140 and 180-40=140. This is how you would work out the right side. This gives you your answer.

Answer:

40

Step-by-step explanation:

[tex]x + 4x - 20 = 180 \\ 5x = 180 + 20 \\ x = 200 \div 5 \\ x = 40[/tex]

please mark as brainliest

What’s 14/4 as a decimal

Answers

Answer:

3.5

Step-by-step explanation:

You would do 14 divided by 4! Hope this helped

Answer:

3.5

Step-by-step explanation:

14 divided by 4 equals 3.5

Divide 1.75 × 10^-2 by -7.3 × 10^-8. Express your answer in scientific notation. Round the coefficient to two decimal places.​

Answers

Answer:

-2.4 · [tex]10^{5}[/tex]

Step-by-step explanation:

what’s 8.43 x 10^7 in standard form?

Answers

Answer: 84,300,000
Simply move the decimal place to the right 7 places

Express 6 3/4 in simplest radical form

Answers

Answer:

4√6^3

Step-by-step explanation:

A gym is selling monthly memberships for $35 each and reusable water bottles for $9 each. The gym
needs to make $1188 by the end of the month.
Enter a linear equation that describes the problem.
An equation for the amount of money made by the gym is = $1188, where m is the number of
monthly memberships sold, and w is the number of reusable water bottles sold.

Answers

Answer:

x = gym memberships, and y = bottles of water

30x + 7y = 1050.....when x = 28

30(28) + 7y = 1050

840 + 7y = 1050

7y = 1050 - 840

7y = 210

y = 210/7

y = 30....so he would have to sell 30 water bottles

Step-by-step explanation:

Answer:

1188=35m+9w

Step-by-step explanation:

please help, will give brainlist
(x-2)(x-1) use the distributive property

please explain as well!

Answers

Answer:

Step-by-step explanation:

(x-2)(x-1)

You need to take the first x and multiply by the other x. Then multiply the first x by the -1. Do this for the -2 also. -2 by the second x and -2 by the -1.

You get x^2-x-2x+2 then combine terms.

x^2-3x+2

Answer:

x² - 3x + 2

Step-by-step explanation:

(x-2)(x-1)

xx - x - 2x + 2

x² - 3x + 2

Please help if you know trig, will give brainliest! Thank you!

Answers

Answer:

sin^2(a) I believe. Delete my response if needed.

Step-by-step explanation:

tan²(α) (2 cos²(α) + sin²(α) - 1)

Recall that sin²(α) + cos²(α) = 1 for all α. Then sin²(α) - 1 = -cos²(α) :

tan²(α) (2 cos²(α) - cos²(α))

tan²(α) cos²(α)

Rewrite tan(α) = sin(α) / cos(α) :

(sin(α) / cos(α))² cos²(α)

(sin²(α) / cos²(α)) cos²(α)

Cancel the factors of cos²(α) :

sin²(α)

Mary has a new puppy. The puppy weighs 5 pounds and is 20% of it's adult weight. What would the puppy's adult weight be?

Answers

Answer:

The puppy's adult weight would be 25 lbs.

Step-by-step explanation:

5 / .20 = 25

To check:

25 x .20 = 5

I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day! :)

Anybody know the slope to this?

Answers

the slope is -2. To find slopes you do rise/run between each point. In this it rose 2 and ran 1 and the direction of the line is negative.

A 12 foot ladder is leaning up against a wall. If the angel made between the ladder and the ground is 80 degrees. How far up can the ladder reach the wall? Round to the nearest tenth of a foot

Answers

Answer:

11.8 feet

Step-by-step explanation:

Given

Length of the ladder = 12foot

angle of elevation = 80 degrees

Required

Height of the wall (opposite side)

The set up will form a right angled triangle where

length of the ladder is the hypotenuse

height of the wall is opposite;

Using SOH, CAH, TOA trig identity

According to SOH

sin 80 = opp/hyp

sin80 = opp/12

opp = 12sin80

opp = 11.82 feet

Hence the height of the wall is 11.8feet (to the nearest tenth)

A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?

Answers

Answer:

1 3/8 pounds

Step-by-step explanation:

divide 8 1/4 by 6

1.375 pounds (8.25/6=1.375pounds per cake)

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

Answer:

Step-by-step explanation:

3x + y + 72 = 180

3x + y = 108 .... (1)

2x + y = 90 ..... (2)

(1) - (2)

x = 18°

y = 54°

Answer:

Step-by-step explanation:

The manager of a shopping center wishes to obtain information on the shopping habits of people in the area. The area contains four neighborhoods of varying populations. The manager suspects that the shopping habits may be different in different-sized neighborhoods. Which of the following sampling designs would be most effective in gathering the information the manager requires?
A. a convenience sample from the area
B. a simple random sample from the area
C. a cluster sample using the neighborhoods as clusters
D. a stratified sample from the neighborhoods in the area
E. an online poll that invites all people from the neighborhoods in the area to participate

Answers

Answer:

defintly A

Step-by-step explanation:

because all the others are inconvenient and bad

Answer:

D

Step-by-step explanation:

Because you want to be able to see data from all neighborhoods.

Opposite sides are supplementary? True or False ?

Answers

Answer:

It's true!

Step-by-step explanation:

I hope I helped!

Answer:

False because they are congruent

Step-by-step explanation:

Write an integer for the situation: 1,464 feet above sea level

Answers

Answer:

             The answer is 1,464.

The answer will be -1,464, when 1464 is "below sea level".

I hope it help you...

Students had two options for lunch, either a taco salad or a hot dog.

The ratio of taco salads to hot dogs is 3:1.

If a total of 80 lunches were served, how many were hot dogs?

Answers

Answer:

ok, so the answer would be 27 hot dogs and 53 tacos salads

Step-by-step explanation:

Comment trouver les valeurs à mettre dans une table de valeurs selon le problème?

Answers

Answer:

How to find the values ​​to put in a table of values ​​according to the problem?

Step-by-step explanation:

Chuck took a slice of pizza from the freezer and put it in
the oven. The pizza was heated at a constant rate. The
table compares the pizza's temperature (in degrees Celsius) and the time since Chuck started heating it (in minutes). 4 minutes is 25 degrees celsius, 6 minutes is 40 degrees celsius and 8 minutes is 55 degrees celsius. How many minutes will it take for the pizza to reach 100 degrees celsius?

Answers

Answer:

16 Minutes

Step-by-step explanation:

[tex]\frac{4}{25} \\ \\[/tex] = [tex]\frac{16\\}{100}[/tex]

Both the numerator and denominator is multiplied by 4.

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