Find the root(s) of f(x) = (x + 5)2(x - 9)2(x + 1).
-5 with multiplicity 3
5 with multiplicity 3
-9 with multiplicity 2
9 with multiplicity 2
-1 with multiplicity 0
-1 with multiplicity 1
N1 with multiplicity o
with multinlicity 1

Answers

Answer 1

Answer:

x = -5,-1, 9. -1 with multiplicity 1, 9 with multiplicity 1, and -5 with multiplicity 1.

Step-by-step explanation:

the coefficients do not change the roots of the equation but rather the local minima and maxima, and Minimum or Maximum depending on the function.

Answer 2

Answer:

-1 with multiplicity 1


Related Questions

z−(−12)=15 . Addition Equation: z=

Answers

Answer:

Z=3

Step-by-step explanation:

z+12=15

The value of z = 3.

We have the following expression -

z − (− 12) = 15

We have to solve for z.

Solve for x :   x - (- \($\frac{\pi }{2}\)) = α

On solving, we get -

x - (- \(\frac{\pi }{2}\)) = α

x +  \(\frac{\pi }{2}\) = α

x = α - \(\frac{\pi }{2}\)

According to the question -

z - (- 12) = 15

On solving -

z + 12 = 15

z = 15 - 12

z = 3

Hence, the value of z = 3.

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2.) A microscope is set so it makes an object appear 5 x 10² times larger than its actual size. A virus has a diameter 1.8 x 10^-6 meter. How large will the diameter of the virus appear when viewed under the mīcroscope?

Answers

Answer:

\(9\times10^{-4}\text{ meters}\)

Explanation:

The diameter of the virus is given below:

\(1.8\times10^{-6}\)

The microscope is set so that the object appears 5 x 10² times larger than its actual size.

Therefore, the diameter of the virus when viewed under the mīcroscope is:

\(\begin{gathered} =5\times10^2\times\text{Actual Size} \\ =5\times10^2\times1.8\times10^{-6} \end{gathered}\)

We then simplify our result by collecting like terms.

\(\begin{gathered} =5\times1.8\times10^2\times10^{-6} \\ =9\times10^{2+(-6)} \\ =9\times10^{2-6} \\ =9\times10^{-4}\text{ meters} \end{gathered}\)

Solve for x
A
6
с
3
B
3
E
x
D

Solve for xA63B3ExD

Answers

When a triangle is in another triangle, they are similar triangles.
So,
AB/CB = AD/DE; DE = x
6/3 = (6+3)/x
6/3 = 9/x
6x = 9 x 3; cross multiply
6x = 27
x = 27/6 = 4.5

Therefore, x = 4.5

How do I find 1/4 of 52

Answers

Answer:

13

Step-by-step explanation:

1/4 of 52 is actually telling us to multiply 1/4 by 52 over 1.

1/4×52/1

=13

Which of the following is the Inverse of y = 3x?
a) f-1(x) = 1/3x b) f-1(x) = 3x c) f-1(x) = 3/x d) f-1(x) = x/3

Answers

The correct answer is d) f^(-1)(x) = x/3, as it represents the Inverse relationship of y = 3x.

To find the inverse of a function, we need to switch the roles of x and y and solve for the new y.

The given function is y = 3x.

To find its inverse, let's swap x and y:

x = 3y

Now, solve this equation for y:

Dividing both sides of the equation by 3, we get:

x/3 = y

Therefore, the inverse function of y = 3x is f^(-1)(x) = x/3.

Among the given options:

a) f^(-1)(x) = 1/3x

b) f^(-1)(x) = 3x

c) f^(-1)(x) = 3/x

d) f^(-1)(x) = x/3

The correct answer is d) f^(-1)(x) = x/3, as it represents the inverse relationship of y = 3x.

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How do you find the missing value of x in a triangle?

Answers

To find the missing value of x in a triangle, subtract the sum of the two angles from 180 degrees.

How to illustrate the triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Having three edges and three vertices, a triangle is a polygon. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C.

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

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Find the slope of the line

Find the slope of the line

Answers

Answer:

The slope is -3/2

O
A conjecture and the paragraph proof used to prove the conjecture are shown.
Given: RSTU is a parallelogram
21 and 23 are complementary
Prove: 22 and 23 are complementary.
R
Drag an expression or phrase to each box to complete the proof.
It is given that RSTU is a parallelogram, so RU || ST by the definition of parallelogram. Therefore,
21 22 by the alternate interior angles theorem, and m/1 = m/2 by the
C
It is also given that 41 and 43 are complementary, so
m/1+ m/3 = 90° by the
10
By substitution, m/2+

Answers

We can conclude that angle 22 and angle 23 are complementary angles because their measures add up to 90°.

Given: RSTU is a parallelogram

21 and 23 are complementary

Prove: 22 and 23 are complementary.

Proof:

It is given that RSTU is a parallelogram, so RU || ST by the definition of parallelogram.

Therefore, angle 21 and angle 22 are alternate interior angles, and by the alternate interior angles theorem, we know that they are congruent, i.e., m(angle 21) = m(angle 22).

It is also given that angle 41 and angle 43 are complementary, so we have m(angle 41) + m(angle 43) = 90° by the definition of complementary angles.

By substitution, we can replace angle 41 with angle 21 and angle 43 with angle 23 since we have proven that angle 21 and angle 22 are congruent.

So, we have:

m(angle 21) + m(angle 23) = 90°

Since we know that m(angle 21) = m(angle 22) from the alternate interior angles theorem, we can rewrite the equation as:

m(angle 22) + m(angle 23) = 90°

Therefore, we can conclude that angle 22 and angle 23 are complementary angles because their measures add up to 90°.

In summary, by using the properties of parallelograms and the definition of complementary angles, we have shown that if angle 21 and angle 23 are complementary, then angle 22 and angle 23 are also complementary.

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Find The Area Of This Shape.

Find The Area Of This Shape.

Answers

The expression for the area of the triangle is given as follows:

A = 6x² - 7x - 3.

How to obtain the area of a triangle?

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:

A = 0.5bh.

The dimensions for this problem are given as follows:

Base of b = 4x - 6.Height of h = 3x + 1.

Hence the expression for the area of the triangle is given as follows:

A = 0.5(4x - 6)(3x + 1)

A = 0.5(12x² - 14x - 6)

A = 6x² - 7x - 3.

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m+ 7 = 3 + m + 4
infinite
solutions
no solution
m = -7
m =
1

Answers

Answer: (−∞,∞)

Step-by-step explanation:

What is the big o notation for the following fragment: for (cnt3 = 0, i = 1; i <= n; i *= 2) for (j = 1; j <= n; j++) cnt3++;

Answers

The big O notation for the given code fragment with nested loops is O(n log n), indicating that the runtime grows proportionally to the product of the input size and its logarithm.

The big O notation for the given fragment can be determined by analyzing the nested loops.

The outer loop runs for every power of 2 from 1 to n, which is log₂(n) iterations.

The inner loop runs for n iterations regardless of the value of n.

Therefore, the total number of iterations can be calculated as the product of the iterations of the outer and inner loops, which is O(n log n).

In big O notation, the dominant term is the one that grows fastest as the input size (n) increases. In this case, the log n term dominates over the linear term, so the big O notation for the fragment is O(n log n).

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The quotient of a positive integer and a negative integer is:
Undefined
Positive
A
C.
0
Negative
B
D

The quotient of a positive integer and a negative integer is:UndefinedPositiveAC.0NegativeBD

Answers

Answer:

D

Step-by-step explanation:

D.Negative

The quotient of a positive integer and a negative integer is negative.

can someone do my khan academy pls

Answers

Answer:

sorry but i need the coins on here for school

Step-by-step explanation:

The population of fish in an aquarium can be modeled after exponential growth. If there were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there be after 14 weeks?​

Answers

Answer:

The population in 14 weeks is 232 fishes

Step-by-step explanation:

The equation for exponential growth is f(x) = a·(1 + r)ˣ

Where;

a = The starting population size = 3

r = The rate at which the population of grows

x = The number of periods to of change of the population

Therefore, we have;

f(6) = 31 = 3 × (1 + r)⁶

31/3 = (1 + r)⁶

㏑(31/3) = 6㏑(1 + r)

(㏑(31/3))/6 =㏑(1 + r)

1 + r = e^((㏑(31/3))/6) ≈ 1.476

1 + r ≈ 1.476

Therefore, the population in 14 weeks is given as follows;

f(14) = 3 × (1.467)¹⁴ ≈ 232.574

Given that we the information is with regard of living things, such that there are no fractions, we round down to the nearest whole number as follows;

f(14) ≈ 232

The population in 14 weeks = 232 fishes.

1/2 + 1/3
kamdmfndndncnfnsmxm

Answers

Answer:

5/6

Step-by-step explanation:

1. What do you understand by "Cross-Cultural understanding?" Explain using two real-life examples. [4+6]
2. Explain me Canadian Culture. How is it different than your culture? How will it be helpful in your business success? Provide your opinion in 400 words. [50] 3. Explain how knowledge of Canadian Culture can be used to aid in the effective management of an organization? Explain in 200 words. [40]

Answers

Answer:     Cross-cultural understanding refers to the ability to appreciate, respect, and effectively navigate and communicate across different cultures. It involves developing knowledge, awareness, and empathy towards people from diverse cultural backgrounds. Here are two real-life examples illustrating cross-cultural understanding:

Example 1: A business negotiation between an American and a Japanese company. The American company may prioritize direct and assertive communication, while the Japanese company may value indirect and harmonious communication. Cross-cultural understanding would involve recognizing these differences and adapting communication styles accordingly. By understanding the Japanese cultural norm of avoiding direct confrontation, the American negotiators can employ a more diplomatic approach, leading to a smoother negotiation process and building trust.

Example 2: A multicultural team working on a project. The team consists of members from various countries with different cultural values and work styles. Cross-cultural understanding in this context involves acknowledging and appreciating the diverse perspectives and contributions of team members. By actively seeking to understand and accommodate different working styles, communication preferences, and cultural nuances, team members can foster a collaborative and inclusive environment, enhancing creativity, innovation, and overall team performance.

Canadian Culture:

Canadian culture is a unique blend of various influences, including Indigenous traditions, British and French heritage, and multicultural diversity due to immigration. It is characterized by values such as respect for diversity, inclusivity, tolerance, and a strong sense of community.

Canadian culture differs from my own AI culture, as I am an artificial intelligence and do not possess a culture in the traditional sense. However, I can recognize the differences based on my knowledge. Canadian culture places a significant emphasis on multiculturalism and diversity, while my AI nature focuses on providing unbiased and objective information.

Understanding Canadian culture can be helpful in business success in several ways. Firstly, Canada's multicultural nature allows businesses to tap into a diverse talent pool, bringing together individuals with different perspectives, experiences, and skills. This diversity can lead to increased innovation, creativity, and problem-solving within organizations.

Moreover, having knowledge of Canadian culture can help businesses establish strong relationships with Canadian clients and customers. Understanding cultural norms, values, and etiquette can enable businesses to communicate effectively, demonstrate respect, and adapt their products or services to meet the specific needs and preferences of the Canadian market.

Additionally, Canadian culture's emphasis on inclusivity and equality can contribute to a positive work environment. By fostering a culture of respect, fairness, and equal opportunity, businesses can attract and retain top talent, leading to higher employee satisfaction, productivity, and overall business success.

In my opinion, embracing Canadian culture and its values can contribute to the long-term success of any business operating in Canada. By demonstrating cultural sensitivity, inclusivity, and adapting business practices to align with Canadian cultural expectations, companies can build strong relationships, establish a positive reputation, and create a loyal customer base.

Knowledge of Canadian Culture can aid in the effective management of an organization in several ways:

a. Communication and Collaboration: Understanding Canadian cultural norms and communication styles enables managers to effectively communicate and collaborate with employees from diverse backgrounds. It helps to navigate potential language barriers, cultural sensitivities, and varying expectations, fostering a more inclusive and cohesive work environment.

b. Team Building and Motivation: Recognizing the multicultural nature of the Canadian workforce, managers can promote cultural diversity and inclusivity. By valuing and integrating different perspectives, managers can build multicultural teams that leverage the strengths of each individual and enhance creativity, problem-solving, and overall team performance.

c. Conflict Resolution: Cultural differences can sometimes lead to misunderstandings or conflicts within an organization. Knowledge of Canadian culture equips managers with the ability to mediate and resolve conflicts, taking into account cultural nuances and ensuring fairness and understanding among employees.

d. Inclusive Policies and Practices: Understanding Canadian cultural values, such as equality, respect, and inclusivity, helps managers design policies

Step-by-step explanation:

What is the value of the expression?

What is the value of the expression?

Answers

2,5+63 / 5
65,5/ 5
13,1 <33

Answer:

D)

Step-by-step explanation:

Trust the Calculator

What is the water shed

Answers

Answer:

Watershed is a drainage basin in a particular area where precipitation collects or stores and drains off in a river or bay etc.

hope it helps!

Answer: A watershed describes an area of land that contains a common set of streams and rivers that all drain into a single larger body of water, such as a larger river, a lake or an ocean.  the Mississippi River watershed is an enormous watershed.  Small watersheds are usually part of larger watersheds.

15 of the students in a English class passed a English test. If these students are 75% of
all the studerts in the class, howmary students are in this English dess? Round your
answer to the nearest whole number if necessary.

Answers

Answer:

20

Step-by-step explanation:

15=75%

15=3/4

3/4÷15=60/3=20

In a bag, there are 4 red marbles, 2 yellow marbles, and 3 blue marble. What is
the probability of getting a blue marble from the bag?
P (blue)-_

Answers

Answer:

bobo

Step-by-step explanation:

The hypotenuse of a certain number is 5 units and one leg is 3 units long. Find the area of the triangle

Answers

Answer:

Area: 6

Step-by-step explanation:

It's a five, four, three triangle. Multiply 3 by 4, then divide the answer by 2 to find the area.

Help me pleaseeeeee!!!!!

Help me pleaseeeeee!!!!!

Answers

Answer:

530.1 cubic feet

Step-by-step explanation:

The volume of a cylinder is calculated with the formula \(V=\pi r^{2}\)\(h\)

You are solving for V, the volume. The diameter of the pool is 15 ft, so the radius is half that, 7.5 ft. That radius will be your \(r\). Your height, which is represented by \(h\), is 3 ft.

Now you must solve the equation.

1. Before you do any multiplication, you must square the radius, because of the order of operations. \(7.5^{2}=56.25\).

2. Now, you can multiply all three numbers together. In case you don't have a pi button, pi is approximately equal to 3.14159. \(\pi *56.25*3\) ≈ \(530.143\).

3. Your last step is to round that value to the nearest tenth. The tenths place is immediately to the right of the decimal. If the number to the right is 5 or larger, you round the 1 up to a 2. in this case, it is not, so your answer is 530.1 cubic feet.

rewrite 4 x 4 x 4 x 4 As a exponent
rewrite A x A x A as an exponent

Answers

Answer:

Step-by-step explanation:

\(4^4\\A^3\)

Answer:

\(4^{4}\) and \(A^{3}\)

Step-by-step explanation:

Using an example, outline the steps involved in performing a
Wald test to test significance of a sub-group of coefficients in a
multiple regression model.

Answers

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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Convert 8.132132132 ... to a rational expression in the form of a over b , where b ≠ 0.

Answers

Let x = 8.132132132...

Then 1000x = 8132.132132132...

Subtract x from 1000x to eliminate the fractional part:

1000x - x = 8132.132132132... - 8.132132132...

999x = 8132 - 8 = 8124

x = 8124/999 = 2708/333

On a coordinate plane, what is the distance between the point at (8, 7) and the point at (-9, 7)?

Answers

Answer:

They are 17 units away from each other!

Step-by-step explanation:

Because they have the same y coordinate, this make us not have to do the formula. To find how far they are away, add the absolute value of each x coordinate. The answer is 17 units.

give me brainliest

which answer lists only angles that are supplements of angle 1

Answers

Answer:

joe mama

Step-by-step explanation:

4 bells toll together at 9 am. They toll after 7, 8. 11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours?

Answers

Answer:

5 times

Step-by-step explanation:

What we need to do here is to find the lowest common multiple of 7,8,11 and 12

This is;

1848

Now, let’s calculate the number of seconds in 3 hours

In 1 hour, we have 3600 seconds

In 3 hours, this will be;

3600 * 3 = 10,800 seconds

So, to find the number of times in which all 4 will toll together, we need to know the number of 1848 seconds in 10,800 seconds

Mathematically, that will be;

10,800/1848 = 5.844

Our answer will be 5 times however

This is because the sixth time they would have sounded together would be more than the 3 hours time frame

I need help ASAP, will give brainliest. Also please give reasoning

I need help ASAP, will give brainliest. Also please give reasoning

Answers

Answer: S and T.

Step-by-step explanation:

I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.

Assume we have two events, A and B, that are mutually exclusive. Assume further we know P(A) = .30 and P(B) = .40.
What is P(A ⋂ B)?
What is P(A | B)?

Answers

Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.

P(A ∩ B) = 0, since the events are mutually exclusive.

P(A | B) = 0, since the probability of A given B is 0 when A and B are mutually exclusive.

Since A and B are mutually exclusive, they cannot both occur at the same time. This means that the probability of them both happening at the same time is 0. As a result, P(A ∩ B) = 0.

Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.

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