Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity

Answers

Answer 1

To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

Factorization

q(x)=12x^5+40x^4-32x³

q(x)=4x³ (3x²+10x-8)

q(x)=4x³(3x²+12x-2x-8)

q(x)=4x³ [(3x (x+4)-2 (x+4)]

q(x)=4x³ (3x-2) (x+4)

When:

q(x)=0; x1=0; x2=2/3; x3=-4

Hence:

When:

x=0 the multiplicity is 3

x=2/3 the multiplicity is 1

x=-4 the multiplicity is 1

Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

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#SPJ1


Related Questions

PLEASE HELP PLEASE HELP

Answers

Answer:

Option D - Line P

Step-by-step explanation:

Look at the coordinates in the (x, y) column of Max's table and see which line has the same points.

Please help!!!
(07.02)
What is the value of y in the equation 3y - 8 = 22?
07.3
8
O 10
O 14

Answers

It’s 10 as 22+ 8= 30 and 30/3 = 10

Answer:

The answer is 10 dude.

Step-by-step explanation:

You add 8 on both sides to get 3y by itself then divide 3 on both sides and that's it. If you really need to isolate a variable go on a website called microsoft math solver.

2.
one day Jada and her cousin line up on the end of a swimming pier on the edge of a lake . At the same time , they start swimming and biking in opposite directions how far apart will they be after 15 mins

Answers

In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.

What is speed?

Speed is the ratio of distance to time.

For Jada:

Speed = 2 miles / 12 minutes = 0.167 miles per minute

For Jada cousin:

Speed = 1 mile / 24 min = 0.0417 miles per minute.

Hence, in 15 minutes:

Jada distance = 15 min * 0.167 miles per minute = 2.5 miles

Jada cousin distance = 15 min * 0.167 miles per minute = 0.625 miles

In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.

Find out more on speed at: https://brainly.com/question/4931057

What is an externality

Answers

Answer:

Externalities refer to situations when the effect of production or consumption of goods and services imposes costs or benefits on others that are not reflected in the prices charged for the goods and services being provided.

the picture below is an example of what it looks like

WHAT EXTERNALITY IS : externality is a economic cost or sometimes a benefit that is the´´by product´´ of the economic activity. the activity that is allacated outside of the system. the resources are likely to be misallocated when there is a externality.

the fact of existing outside the perceiving subject.

the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sides​

Answers

The length of the other two sides is 10 and 35 respectively.

What is a ratio?

A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.

From the given information:

The sides of the triangle = 2:7:8The total sides of the triangle = 2+7+8 = 17

We are being told that the longest side is the triangle is equal to 40.

i.e.

[tex]\mathbf{\to\dfrac{8}{17}\times x = 40}[/tex]

[tex]\mathbf{x = 40 \div \dfrac{8}{17}}[/tex]

[tex]\mathbf{x = 40 \times \dfrac{17}{8}}[/tex]

x = 85

Now for the other two sides 2 and 7, their length is as follows.

[tex]\mathbf{\dfrac{2}{17}\times 85 = 10}[/tex]

[tex]\mathbf{\dfrac{7}{17}\times 85 = 35}[/tex]

Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.

Learn more about ratios here:

https://brainly.com/question/2328454

need help really please someone​

Answers

Answer:

5/6 x 1 = 5/6 2/3 x 2= 4/6. 5/6 is greater than

2/3

Step-by-step explanation:

find a common denominator then see which one has more value

What is your filed called when you open it in Photoshop?
A. PDF
B. MP3
C. JPEG
D. Doc

Answers

Answer:

B. MP3 idek if its right im just doing the 5 step thing

I agree with this person the answer is B because it’s right

10 men can do the work in 8 days. how many men should be reduced to finish the work in 10 days​

Answers

If Reducing 2 men will bbe enough too finish the work in 10 days

For rate of work use the formualar

rate of work = quantity of work / duration

10 men can do the work at a rate of  =  1 / 8

x men can do same work at a rate of = 1 / 10

x * ( 1 / 8 ) = 10 * ( 1 / 10 )

x = 1 * 8 = 8

therefore 8 men can do the work in 10 days

number of men reduced = 10 men - 8 men = 2 men

Hope it helped

how do i simplify this: (8 2/3)^4

Answers

Answer:
5641 55/81

Step-by-step explanation:

you can simplify the equation by removing the parenthesis.
this means that you also have to solve the ^4 part.
this would be
5641 55/81

I know that this is a large number but that is what happens when you do ^4.

I NEED HELP ASAP, I NEED BOTH QUESTIONS ANSWERED THIS IS WORTH 50 POINTS SO PLS HELP ASAP~~

Answers

that’s a lot of points ok gimme a second i’ll write the answer in the comments when I’m done


You invest $5000, add 50 each month, at 7.9% for 11 years.

Answers

Answer:

???

Step-by-step explanation:

In which data set is the mean greater than the median?

Answers

According to the skewness of each data-set, the first histogram has a mean greater than the median.

What is the relation between mean, median and skewness?

If the mean is greater than the median, the data is positively(right) skewedIf the mean is less than the median, the data is negatively(left) skewed

In this problem, for the mean greater than the median, we want a right-skewed data, which is given by the first histogram.

More can be learned about a data-set skewness at https://brainly.com/question/1446134

Answer:

B

Step-by-step explanation:

took test

What is the difference between 8x^3-2x^2+5x-7 and 5x^3-3x^2-2x+4?

Answers

Answer:

B. 3x³ - 5x² + 3x - 3

Step-by-step explanation:

8x³ - 2x² + 5x - 7 - 5x³ - 3x² - 2x + 4 <== combine like terms

3x³ - 5x² + 3x - 3

Hope this helps!

Questione Simplify Cosa + 2Cos(a +240")​

Answers

Step-by-step explanation:

[tex] \cos(a) + 2 \cos(a + 240) [/tex]

[tex] \cos(a) + 2 \cos(a) \cos(240) - \sin(a) \sin(240) [/tex]

[tex] \cos(a) + 2( - \frac{ \cos(a) }{2} + \frac{ \sqrt{3} }{2} \sin(a) )[/tex]

[tex] \cos(a) - \cos(a) + \sqrt{3} \sin(a) [/tex]

[tex] \sqrt{3} \sin(a) [/tex]

If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.

MATH. Someone please answer this for me :) 50 points


Image attached

Answers

Answer:

A=0.51

B=0.73

C=0.41

D=A student taking algebra II is dependent on whether they prefer it and a student being in 10th grade is dependent on their age

Step-by-step explanation:

These answers are all in fractions btw

A)5/255+20/245+65/225+90/725=0.514267 which rounds to 0.51

B)100+65=165

165/225=0.73

C)100/245=0.41

Hope it helps !

What is the volume of the bird feeder? Round to the nearest tenth if nessacaryWhat is the volume of the bird feeder

Answers

It would be 17j and I’m gay

Evaluate the following integral or state that it diverges.

*integral 0 to 1 (ln x)do

Answers

Answer:

-1

Step-by-step explanation:

so firstly we solve by integrating by parts.

lnX × X - the integral of x/x

so the integral is Xln(X) - X

so the value should converge at -1

During a sale at the electronics store​, movies sold for ​$3 and CDs sold for ​$2.50. Isla spent ​$24 and bought a total of 9 movies and CDs. How many of each did she ​buy?

Answers

6 CDS (2.5*6=$15)
3 Movies (3*3=$9)

I NEED HELP ASAP
Solve.

4x + 2(3x – 9) = x
A.
x = –2
B.
x = 1.8
C.
x = 2
D.
x = 18

Answers

Answer:

x=2

Step-by-step explanation:

[tex]4x+2(3x-9)=x\\\\\implies 4x +6x - 18 -x =0\\\\\implies 9x = 18\\\\\implies x = \dfrac{18}9 = 2[/tex]

A basketball player averaged 20 points a game over the course of six games. His
scores in five of those games were 23, 18, 16, 24, and 27. How many points did he score in the sixth game?

Answers

Hello There!!

Given,

Average Points= 20

No. of games = 6

Total points= 20×6=120

So, Sum of Score of five games= 23+18+16+24+27= 108

Therefore, Score in 6th game= 120-108= 12

Hope this helps

[tex]\sf\large \green{\underbrace{\red{Answer⋆}}}:[/tex]

To find :-

The sixth score of the game

Given :-

All five scores = 23, 18, 16, 24, and 27

The average of all six score = 20

Solution :-

We will use the average formula to find the sixth score.

[tex]average = \frac{total \: of \: all \: scores}{number \: of \: scores} [/tex]

And let the sixth score be x.

[tex]20 = \frac{23 + 18 + 16 + 24 + 27 + x}{6} [/tex]

Now we will cross multiply, the 6 which on L.H.S will come to R.H.S and multiply with 20.

[tex]20 \times 6 = 23 + 18 + 16 + 24 + 27 + x \\ 120 = 108 + x \\ 120 - 108 = x \\ 12 = x[/tex]

Result :-

The sixth score by the baseball player is 12.

A fruit company guarantees that 94​% of the pineapples it ships will ripen within four days of delivery. Find the probability that at least 10 pineapples in a case of 12 are ripe within four days.

Answers

The probability that at least 10 pineapples in a case of 12 are ripe within four days as described in the task content is; 0.783

Probability of Percentage

From the task content;

It follows that 94% of the pineapples shipped will ripen within four days of delivery.

On this note, the probability for ripening of each apple is; 0.94.

Ultimately, the probability that at least 10 pineapples in a case of 12 are ripe within four days is therefore; 0.94 × 10/12 = 0.783.

Read more on probability;

https://brainly.com/question/18916756

From a club of 20 people, in how many ways can a group of three members be selected to attend a conference?​

Answers

Answer:    1140

=============================================================

Reason:

There are 20 ways to pick the first person, 19 for the next, and 18 for the last. We count down by one each time we fill up a slot since we cannot reselect any person more than once.

If order mattered, then we'd have 20*19*18 = 6840 permutations.

However, order does not matter because no member has a special seat or role. The individual members don't matter and instead it's all about the group.

Notice that for any group of 3 people, there are 3*2*1 = 6 ways to arrange such individuals. We have to divide by 6 to go from 6840 permutations to 6840/6 = 1140 combinations.

-------------------------

Here's a more formulaic approach using the nCr combination formula.

Plug in n = 20 and r = 3

[tex]n C r = \frac{n!}{r!(n-r)!}\\\\20 C 3 = \frac{20!}{3!*(20-3)!}\\\\20 C 3 = \frac{20!}{3!*17!}\\\\20 C 3 = \frac{20*19*18*17!}{3!*17!}\\\\ 20 C 3 = \frac{20*19*18}{3!}\\\\ 20 C 3 = \frac{20*19*18}{3*2*1}\\\\ 20 C 3 = \frac{6840}{6}\\\\ 20 C 3 = 1140\\\\[/tex]

A cable company charges $130 for digital cable and internet service. It charges $160 for digital cable, Internet service, and three premium movie channels. What part of the $160 charge for the second package is due to the three movie channels?

Answers

Answer:

$30

Step-by-step explanation:

Since the $130 has everything except the 3 premium movies, i subtracted 160 with 130 to get $30.

CAN SOMEBODY SOLVE THIS EQUATION

Answers

Answer:

The tank starts with 32300 gallons and is decreasing by -16.15 gallons per minute

Help picture below problem 15

Answers

Answer:

x = 25°

Step-by-step explanation:

→ Remember key fact

Angles in triangle add up to 180°

→ Set up equation

34 + 121 + x = 180

→ Simplify

155 + x = 180

→ Minus 155 from both sides

x = 25°

. Assuming that the pool is 10 ft deep, approximately how many cubic heters of water will this pool hold when filled? (3.3 feet 1 meter)​

Answers

Answer:

The answer is true

Step-by-step explanation:

hope this helps

The graph shows two lines, A and
How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)

Answers

Answer:

there muse be at least 2 solution because we need it to draw lines at exact direction

Answer:

1 solution

Step-by-step explanation:

A solution to a system of lines in a graph is their intersection point. On the graph shown, there is only 1 point at which the lines intersect, therefore, 1 solution.

Which of the following is the main
reason people buy auto insurance?
A. They want to be covered in case their home starts on
fire.
B. It is not expensive and easily affordable.
C. It is required by law in any state in America.
D. It is very expensive and hard to finance.
Haven't learned this yet.

Answers

Answer:  C. It is required by law in any state in America.

Explanation:

Most states (but not all) require liability insurance at minimum. This covers injury and property damage to the person you accidently hit. It likely does not cover you personally so you'd need other insurance for that.

States like Iowa, New Hampshire, and Ohio offer exemptions from insurance if you can show you are responsible with money. Meaning that if you have a steady income and are smart with money, then you likely would be able to pay off any future accident without needing insurance. Though the damages might get wildly expensive, so a liability policy isn't always a bad thing.

Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred. Radius is 4 height is 10​

Answers

[tex]\bold{ANSWER:}[/tex]
167.47 unit^3

[tex]\bold{EXPLANATIONS:}[/tex]

Equivalent ratio for 3:7 is

Answers

given:

3 : 7

to find:

equivalent ratios for 3 : 7.

solution:

6 : 14

9 : 21

12 : 28

15 : 35

18 : 42

( to find equivalent ratios just multiply or divide both the sides by the same number. )

Answer:

The answer is 6:14, 9:21,  12:28, 15: 35, and 18:42

Step-by-step explanation:

What you need to do is take the ratio and you can turn it into a fraction!so take 3:7 and turn it into 3/7now from there you just need to multiply the numerator and the denominator by the same number and it will always equal the ratio of 3:7

EXAMPLE-- 3/7 and multiply the numerator and denominator by 5 to get 15:35 THIS IS TRUE

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