What is the multiplicity of each of the roots of the graph of
f(x) = 2x4 + 12x} + 16x2 – 12x – 18?
A.-3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1
B.-3, multiplicity 2; 1, multiplicity 2
C.-3, multiplicity 1; -1, multiplicity 1; 1, multiplicity 1
D.-3, multiplicity 2; -1, multiplicity 3; 1, multiplicity 1

Answers

Answer 1

Answer:

The correct option is;

C. -3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1

Please find attached the required function graph

Step-by-step explanation:

To solve the equation f(x) = 2·x⁴ + 12·x³ + 16·x² -12·x - 18, by graphing the function, we have;

x [tex]{}[/tex]       F(x)

-4[tex]{}[/tex]       30

-3[tex]{}[/tex]       0

-2[tex]{}[/tex]       6

-1[tex]{}[/tex]        0

0 [tex]{}[/tex]      -18

1[tex]{}[/tex]         0

2[tex]{}[/tex]       150

The shape of a graph with multiplicity of 2

Given that the graph bounces of the horizontal axis at the y-intercept at point x = -3, the factor (x - 3) must be a quadratic of the form (x - 3)², thereby having a multiplicity of 2 in the solution which are;

x = 1, -1, and, giving

(x - 1)·(x + 1)·(x - 3)² = 0

Therefore, the correct option is -3, multiplicity 2; -1, multiplicity 1; 1 multiplicity 1.

What Is The Multiplicity Of Each Of The Roots Of The Graph Off(x) = 2x4 + 12x} + 16x2 12x 18?A.-3, Multiplicity
Answer 2

Answer:

C

Step-by-step explanation:


Related Questions

1. (a) Find the greatest common divisor of the term 144x3y2and 81xy4
(b) Hence factorise completely this expression 144x3y2-81xy4​

Answers

Answer:

Step-by-step explanation:

a) 144x³y² = 2 *2*2*2* 3* 3* x³ * y² = 2⁴ * 3² * x³ * y²

 81xy⁴      = 3 * 3 * 3 * 3 * x * y⁴      =         3⁴ * x * y³

GCD is  that are in both term

Greatest common divisor = 3² * x * y² = 9xy²

b) 144x³y² - 81xy⁴ = 9xy² * 16x²y  - 9xy²*9y²

                             = 9xy²(16x²y - 9y²)

URGENTT PLEASE ANSWER

Answers

Answer:

Step 2

Step-by-step explanation:

9 was added to both sided so the equation would remain equal and the 9 would be cancelled out on the left side.

I need help with this please.

Answers

Answer:

the slope is 60

Step-by-step explanation:

the slope is the number multiplying the x value, or t in this case.

Answer:

The slope is 60, and create the graph by dragging one point to (0,0) and one point to (1,60).

Step-by-step explanation:

If we have the proportional relationship [tex]d=60t[/tex], then the slope will be what we multiply t by to get d, therefore the slope is 60.

Since there is no y-intercept, the line WILL pass through the origin (0,0), so a point goes there.

If we make t 1, then d will be at point (1,60) because  [tex]60\cdot1=60[/tex].

Hope this helped!

please help!!!! Use the graph to complete the statement. O is the origin. Ry−axis ο Ry=x: (-1,2)
A. (1, -2) B. (-1, -2) C. (2, -1) D. (-2, -1)

Answers

Answer:  D. (-2, -1)

Step-by-step explanation:

Here we do two reflections to the point (-1, 2).

First, we do a reflection over the line x = y.  Remember that a reflection over a line keeps constant the distance between our point and the given line, so we have that for a pint (x, y), the reflection over the line y = x is:

Ry=x (x, y) = (y, x)

so for our point, we have:

Ry=x (-1, 2) = (2, -1)

Now we do a reflection over the y-axis, again, a reflection over a line keeps constant the distance between our point and the given line, so if we have a point (x,y) and we do a reflection over the y-axis, our new point will be:

Ry-axis (x,y) = (-x, y)

Then in our case:

Ry-axis (2, -1) = (-2, -1)

The correct option is D.

If a number is divided by 3 or 5, the remainder is 1. If it is divided by 7, there is no remainder. What number between 1 and 100 satisfies the above conditions?

Answers

Answer:

91

Step-by-step explanation:

Look at multiples of 7 and you’ll find 91.

91 dived by 3 is 30 with a remainder of 1.

91 divided by 5 is 18 with a remainder of 1.

91 divid by 7 is 13 with no remainder.

91 is the number between 1 and 100 satisfies the above conditions

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that a number is divided by 3 or 5, the remainder is 1.

If it is divided by 7, there is no remainder

We need to find the number between 1 and 100 which satisfies the given conditions.

Let us consider 91.

When 91 is divided by 3 we get 30 and 1 as remainder.

91 divided by 5 is 18 with a remainder of 1.

91 divided by 7 is 13 it does not have any remainder or remainder is zero.

Hence, 91 is the number between 1 and 100 satisfies the above conditions

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Consider the plot created from the residuals of a line of best fit for a set of data.


Does the residual plot show that the line of best fit is appropriate for the data?

Yes, the points have no pattern.
No, the points are evenly distributed about the x-axis.
No, the points are in a linear pattern.
Yes, the points are in a curved pattern.

Answers

Answer:

No, the points are in a linear pattern.

Step-by-step explanation:

Residual plot is a graph that shows the residuals on the vertices. The y-axis has residual values and x-axis has independent variables. The horizontal axis shows the independent variables to determine the best fit for a set. The graph given is in a linear pattern. The random pattern shows that linear model is good fit.

Answer:

C: No, the points are in a linear pattern

Step-by-step explanation:

edg2021

I have been seeing this question with multiple different answers, and no one is sure about anything! All I can say for sure is that IT IS NOT A! So C makes the most sense. B is simply not true, and neither is D, its not curved or evenly distribute.

Find b.
Round to the nearest tenth:

Answers

Answer:

always b is equal to 9 is rhdx forum post in is ek of

Answer:

6.7 cm

Step-by-step explanation:

A+B+C=180°

55°+B+82°=180°

B=43°

Using the formulae

(Sin A)/a = (Sin B)/b

(Sin 55)/8 = (Sin 43)/b

b = [8(Sin 43)]/(Sin 55)

b= 6.7 cm

what is the greatest common factor of 48,24,and 32

Answers

Answer:

8

Step-by-step explanation:

gcf

Question 10(Multiple Choice Worth 1 points) (06.01 LC) Choose the polynomial that is written in standard form.
2x2 + 3x4 + 10x6
4x4 + 6x3 + 10x4
−3x8 + 9x2 + 10x
−7x6 + x3 + 10x8

Answers

Answer:

  −3x^8 + 9x^2 + 10x

Step-by-step explanation:

A polynomial is in standard form when the exponents of the variable decrease left to right. The only given expression in that form is ...

  −3x^8 + 9x^2 + 10x

what is mean absolute deviation (MAD) and how do I find it? ​

Answers

Answer with explanation:The mean absolute deviation (MAD) of a data set is the mean of the absolute distances from the mean.

Steps to find MAD:

Step 1. Calculate mean([tex]\overline{x}[/tex]) of the data using formula: [tex]\overline{x}=\dfrac{\sum x}{n}[/tex] ,  where x denotes data points and n is the number of data points.

Step 2. Calculate distance of each data point from mean :

Distance = [tex]|x-\overline{x}|[/tex]

Step 3. Divide  distance of each data point from mean by n:

MAD = [tex]\dfrac{\sum |x-\overline{x}|}{n}[/tex] , which is the final computation to find MAD.

The radius of the circle is increasing at a rate of 1 meter per day and the sides of the square are increasing at a rate of 3 meters per day. When the radius is 3 meters, and the sides are 20 meters, then how fast is the AREA outside the circle but inside the square changing

Answers

Answer:

The area inside the square and outside the circle is changing at a rate of 101.150 square meters per day.

Step-by-step explanation:

According to the statement of the problem, the circle is inside the square and the area inside the square but outside the circle, measured in square meters, is represented by the following formula. It is worth to notice that radius ([tex]r[/tex]) is less than side ([tex]l[/tex]), both measured in meters:

[tex]A_{T} = A_{\square} -A_{\circ}[/tex]

[tex]A_{T} = l^{2}-\pi\cdot r^{2}[/tex]

Now, the rate of change of the total area is calculated after deriving previous expression in time:

[tex]\frac{dA_{T}}{dt} = 2\cdot l\cdot \frac{dl}{dt} -2\pi\cdot r\cdot \frac{dr}{dt}[/tex]

Where [tex]\frac{dl}{dt}[/tex] and [tex]\frac{dr}{dt}[/tex] are the rates of change of side and radius, measured in meters per day.

Given that [tex]l = 20\,m[/tex], [tex]r = 3\,m[/tex], [tex]\frac{dl}{dt} = 3\,\frac{m}{day}[/tex] and [tex]\frac{dr}{dt} = 1\,\frac{m}{day}[/tex], the rate of change of the total area is:

[tex]\frac{dA_{T}}{dt} = 2\cdot (20\,m)\cdot \left(3\,\frac{m}{day} \right)-2\pi\cdot (3\,m)\cdot \left(1\,\frac{m}{day} \right)[/tex]

[tex]\frac{dA_{T}}{dt} \approx 101.150\,\frac{m^{2}}{day}[/tex]

The area inside the square and outside the circle is changing at a rate of 101.150 square meters per day.

Solve y+1=-3/4 (x+2) and y-3= 2/3 (x-4) please show how you solve it

Answers

Answer:

y = -3/4x-5/2 and y = 2/3x-1/3

Step-by-step explanation:

y+1 = -3/4(x+2)

y+1 = -3/4x-3/2

y = -3/4x-3/2-1

y = -3/4x-5/2

-----

y-3 = 2/3(x-4)

y-3 = 2/3x-8/3

y = 2/3x-8/3+3

y = 2/3x-1/3

Recall the equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day: Now, open the graphing tool and graph the equation. Use the pointer to determine how many hours of production there are in a day if the average number of non-defective refrigerators produced per hour is 15.

Answers

Answer:

The graph representing the above equation is attached below.

Step-by-step explanation:

The equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day is:

[tex]y=\frac{196-3x}{x}[/tex]

Simplify the expression as follows:

[tex]y=\frac{196-3x}{x}[/tex]

[tex]y=\frac{196}{x}-3[/tex]

The graph representing the above equation is attached below.

On moving the pointer to y = 15, it was determined that the value of x was 10.89.

The point is also plotted on the graph

Answer:

There would be 11 hours of production in a day.

Step-by-step explanation:

please i really need help The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?

Answers

Answer:

B

Step-by-step explanation:

If we count the number of points we find out that there are 36 employees

so the fraction must go like x/36

x is the numbers of dots that are less than a 1/2 which are 1/8, 1/4 and 3/8

so x=6

6/36

1/6

so option B

Simplify 2√28 - 3√63. I will give BRAINLIEST!

Answers

[tex]2\sqrt{28}-3\sqrt{63}=2\sqrt{4\cdot7}-3\sqrt{9\cdot7}=4\sqrt7-9\sqrt7=-5\sqrt7[/tex]

If a polygon has an area of 10 cm² and is dilated by a factor of 2, what will be the area of the dilated polygon?

Answers

Area depends on the product of sides,

so if the sides are shortened by a factor of 2, area will reduce by a factor of 4. (2×2)

new area = 10/4=2.5 cm²

Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2ab-6a+5b+___

Answers

Answer:

-15

Step-by-step explanation:

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

Find the value of v in the equation below(in picture)

Answers

Answer:

v =3

Step-by-step explanation:

[tex]v=\log _7\left(343\right)\\\\\mathrm{Rewrite\:}343\mathrm{\:in\:power-base\:form:}\quad 343=7^3\\\\\log _7\left(7^3\right)=3\log _7\left(7\right)\\\\v=3\log _7\left(7\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\\\log _7\left(7\right)=1\\\\v=3\times \:1\\\\=3[/tex]

6x-1=11 solve equation

Answers

Answer:

x = 2

Step-by-step explanation:

6x-1=11

Add 1 to each side

6x-1+1=11+1

6x = 12

Divide by 6

6x/6 = 12/6

x = 2

Answer:

x = 2

Step-by-step explanation:

[tex]6x-1=11 \\\\Collect \: like \:terms\\\\6x = 11+1\\\\Simplify\\\\6x =12\\\\Divide\:both\:sides\:by\:6\\\\\frac{6x}{6} = \frac{12}{6}\\ x = 2[/tex]

What are the solutions of x2 + 20 = 12x.

Answers

Answer:

x₁ = 2

x₂ = 10

Step-by-step explanation:

x² + 20 = 12x

x² - 12x + 20 = 0

(x-2)(x-10) = 0

then:

x₁ = 2

x₂ = 10

Check:

x₁

2² + 20 = 12*2

3 + 20 = 24

x₂

10² + 20 = 12*10

100 + 20 = 120

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65 . For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was 1875 . What was the price of each kind of ticket?

Answers

Answer:

same day = 25

advanced = 40

Step-by-step explanation:

Let a = advanced tickets

s = same day tickets

s+a = 65

25a+35s = 1875

Multiply the first equation by -25

-25s -25a = -1625

Add this to the second equation

25a+35s = 1875

-25a -25s= -1625

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

     10s = 250

Divide each side by 10

10s/10 = 250/10

s =25

Now find a

s+a = 65

25+a = 65

a = 40

Answer: same day = 25

advanced = 40

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + k) represents a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

Here g( x) is f(x) moved 5 units right, thus

g(x) = (x - 5)² → B

The answer to your question is B

Plz help with this question! What is 1/3 * 3/5 * 5/7 ... * 97/99

Answers

Answer:

Step-by-step explanation:

(1/3)*(3/5)*(5/7)*.......*(93/95) * (95/97) * (97/99)

The denominator of each fraction will cancel out the numerator of the next fraction.

Take a close look

Therefore the result is 1/99

HOPE IT HELPS!!

The product of the geometric series  is 1/99.

The product is a geometric series with first term 1/3 and common ratio 2/3. The number of terms is 49. The sum of the series is 1/99.

Here's the explanation:

A geometric series is a series where each term is multiplied by a constant value to get the next term. The constant value is called the common ratio.

In this case, the first term is 1/3 and the common ratio is 2/3. This means that each term is multiplied by 2/3 to get the next term.

The number of terms in the series is 49. This means that there are 49 terms in the series, starting with 1/3 and ending with 97/99.

The sum of the series is 1/99. This can be found using the formula for the sum of a geometric series:

S = a × (1 - [tex]r^{n}[/tex]) / 1 - r

where a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 1/3, r = 2/3, and n = 49. Substituting these values into the formula, we get:

S = (1/3) × (1 - (2/3)49) / 1 - (2/3) = 1/99

Therefore, the product is 1/99.

Learn more about geometric series  here: brainly.com/question/30264021

#SPJ2

Patrick deposited $6,875 into a savings account 17 years ago. The account has an interest rate of 4.9% and the balance is currently $15,734.11. How often does the interest compound

Answers

Answer:

Quaterly

Step-by-step explanation:

find a rational number that is between 5.2 and 5.5. explain why it is rational.

Answers

Answer:

5.3

Step-by-step explanation:

A rational number is a number that can be written as the quotient of two integers.

5.2 and 5.5 are both rational since they can be written as quotients of integers as shown below.

5.2 = 52/10

5.5 = 55/10

5.3 is a number between 5.2 and 5.5, and since 5.3 can be written as 53/10, it is rational.

Answer: 5.3

Answer:

Step-by-step explanation:

rational numbers can be written in form a/b where b≠0

5.2 and 5.5

52/10 and 55/10

so some rational numbers could be

53/10, 54/10

irrational numbers  most likely the square root numbers

square them

5.2^2=27.04

5.5^2=30.25

5.2<?<5.5

square everybody

27.04<?²<30.25

so pick a number between 27.04 and 30.25

29 or 30 are 2 numbers

I'll pick 29

?²= 29

square root

?=√29

the irrational number can be √29

it is 5.39 to the hundredth

z3+(y2-4x) x is 6 y is 8 z is 3

Answers

Answer:

9

Step-by-step explanation:

x = 6

y = 8

z = 3

3z + (2y - 4x)

= (3)3 + (2[8] - 4[6])

= 9 + (16 - 16)

= 9 + 0

= 9

Hope this helps! Tell me if am wrong about the answer, please!

Tell me the answer
69:?::89:36​

Answers

?????????????????????????????????????

I need help ASAP!!

Can someone explain this? And answer it? I am so confused!!

Answers

Answer:

Step-by-step explanation: hope this helps

Event A: Flipping heads on a coin #1. Event B: Flipping heads on a coin #2. What is P(A and B)?

Answers

Answer:

coin 1

Step-by-step explanation: i think this is it

Answer:

Heads is a 50, 50 situation. so 1/2 plus 1/2 is 1/4

Question 12
1 pts
Whitney recently created a new smartphone app. As a result of the initial costs and
fees of producing the app, she did not make any money, or profit, selling the app during
the first two months of the app's release. For the first month, Whitney had a loss of
$324. During the second month of sales, she had a loss of $97. She hopes that in the
third month, she will sell enough apps to break even-that is, she hopes to earn enough
money to cover her losses. What is the amount of money Whitney needs to make in the
third month in order to break even with app sales so far?

Answers

Answer:

The amount (revenue) she makes in the third month to break even is $97

Step-by-step explanation:

The given parameters are;

The cost of the app = Initial cost + fees for producing the app

The amount she loss in the first month = Cost of the app - revenue = $324

The amount she loss in the second month = Loss from first month - revenue in second month = $324 - revenue in second month = $97

The amount Whitney has to make in the third month to break even  is therefore;

The amount she makes in the third month to break even is given by the equation;

Revenue from third month - Loss from second month = 0

Which gives;

The amount she makes in the third month to break even is given by Revenue from third month - $97 = 0

∴ Revenue from third month = $97

The amount (revenue) she makes in the third month to break even = $97

Other Questions
Pls answer I really need helpBrainlist and thank you will be the reward thank you so much!!! What property is 21+(36+19) 12. Solve the systems of linear equations using the substitution method.x=y - 24y = x + 23 What is the Mean Absolute Deviation? What's the resistance in a circuit that has a voltage of 60 V and a current of 2 A? A. 10 B. 60 C. 120 D. 30 Describe the characteristics of scientific inquiry. The dosage for a certain drug calls for 20mg per kg per day and is divided into two doses(1every 12 hours) if a person weighs 197 pounds how much of the drug should be given each dose CAP stands for:________. a. Change Acceleration Process b. Continous Acceleration Process c. Continous Action Process d. Change Acceleration Project e. None of the above Choose which of the following demonstrate a dilation centered at the origin: (x,y)(1.5x,1.5y) choose a graph. If a company reorganizes its operation to gain efficiency, the cost associated with this reorganization is classified as Which is the best definition of the term "magic realism"?a narrative genre of literature that takes ordinary events and makes them seem extraordinary to the reada narrative genre closely linked to nineteenth-century writers throughout the Americas and Europea narrative genre that can be traced to the history of European colonialism throughout the worlda narrative genre characterized by its use of fantastic or mythic elements in otherwise realistic fiction Which legal school of thought is illustrated in this dialogue? DONUT DAY AT THE OFFICE Part 7 Alison: (She stands during David's speech as if inspired but sits down once Bob starts talking.) Bob: Right. Power to the people David. Anyone else hungry? (He tries to slowly move to the donuts and Joyce continues to defend them like a point guard.) Lee: I have an idea that might address all of these issues. What if none of us have any of these donuts but instead we break up into teams and sell them to our coworkers for a profit? Instead of getting one or two donuts, we can stop on our way home and pick up a dozen of them each with our profits. In this case, we ignore the company stick-in-the-mud book regulations because, as you can see, we are obviously presented with some opportunities for a little economic development. Corporate rules here must bow to economic opportunity. If we let our rules block our prosperity, what kind of company will we become? End Part 7 Command school of thought. Law and economics school of thought. Sociological school of thought. Legal realism school of thought. I have a circle that has a radius of 8 in. What is the circumference of the circle? What is the area of the circle? ( use 3.14 for pi).Explain your steps. Please Give A clear explanation The best answer gets brainliest. intext:"A corporation issued 6,000 shares of its $2 par value common stock in exchange for land that has a market value of $84,000. The entry to record this transaction would include" HELP ASAP Select the true statement(s).Select one:a. A strong thesis statement makes the essay's argument clear.b. You should delay providing your readers with a thesisstatement until the conclusion paragraph.c. A strong thesis statement relies on facts only, not opinions.d. A and Be. B and C Define attitude and prejudice, and describe the three basic components of an attitude, using them to differentiate between a stereotype and discrimination. The circumference of a redwood tree trunk is 16 ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk? 2,560 ft3 640 ft3 25,600 ft3 6,400 ft3 Top Hat Soda has 300,000 milliliters of cola to bottle. Each bottle holds 500 milliliters. How many bottles will the cola fill? A cell membrane is very specific about what It allows across. How does this help thecell?XO A. It helps the cell absorb as many different molecules as possible.O B. The cell works better when it contains fewer proteins.C. Transport proteins allow only enzymes to pass through the membrane.D. It is better for the cell if most molecules are prevented from entering.IncorrectIt isnt A What does this mean?