p(x)=x^4 -2x^3 -11x +12x+36
The process of solving for all zeros (by hand) of the polynomial (work page)
The list of all solutions
The domain and range of the function
The end behavior of the function
The intervals for which the function is increasing and decreasing
Local Maximum(s)
Local Minimum(s)

Answers

Answer 1

x=−2x=-2 (Multiplicity of 22)

x=4x=4 (Multiplicity of 11)


Related Questions

What is 1/8 of 24? what is it answer me asap

Answers

Answer:

3

Step-by-step explanation:

1/8 * 24 = 3

I need help with this whole page (if you can’t see zoom in)

I need help with this whole page (if you cant see zoom in)

Answers

Answer:

number

2.A

3.1/1

4.A

5.up right side ididnt see

6.5 right

7.place the positive for and walk in to the left side and count eleven start to 4

8. A particle in a spherically symmetric potential is in a state described by the wave packet ψ(x,y,z)=C(xy+yz+zx)e −αr t
What is the probability that a measurement of the square of the angular momentum yields 0 ? What is the probability that it yields 6ℏ 2
? If the value of l is found to be 2, what are the relative probabilities for m=2,1,0,−1,−2 ?

Answers

The values of C, α, and the normalization constant need to be determined to calculate the exact probabilities.

To find the probabilities associated with the measurements of the square of the angular momentum for the given wave packet, we need to determine the quantum numbers and their corresponding probabilities.

The square of the angular momentum operator is given by:

L^2 = Lx^2 + Ly^2 + Lz^2

For a spherically symmetric potential, the wave function can be written as:

ψ(x, y, z) = C(xy + yz + zx) e^(-αr)

Let's analyse each part separately.

1. Probability of obtaining L^2 = 0:

For L^2 = 0, the only possibility is when all three components of the angular momentum, Lx, Ly, and Lz, are zero. In other words, l = 0.

The probability of this occurring is given by the square of the coefficient of the corresponding term in the wave function:

P(L^2 = 0) = |C(xy + yz + zx)|^2

2.Probability of obtaining L^2 = 6ℏ^2:

or L^2 = 6ℏ^2, we need to consider the possible values of l. Since l = 2 is given, the possible values of m are -2, -1, 0, 1, and 2. The probability for each value of m is given by the square of the coefficient of the corresponding term in the wave function.

Here, m represents the projection of the angular momentum along the z-axis.

P(m = 2) = |C(xy)|^2

P(m = 1) = |C(yz)|^2

P(m = 0) = |C(zx)|^2

P(m = -1) = |C(yz)|^2

P(m = -2) = |C(xy)|^2

Please note that the probabilities for m = 1 and m = -1 are the same because the coefficients for the corresponding terms are the same.

The values of C, α, and the normalization constant need to be determined to calculate the exact probabilities.

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The average age of 6 men is 35 years and the average age of four of them is 32 year.
Find the ages of the remaining two ment one is 3 years older than the other.​

Answers

Let's denote the ages of the two remaining men as x and x + 3 (since one is 3 years older than the other).

We know that the average age of 6 men is 35 years. So, the sum of their ages is 6 * 35 = 210 years.

We also know that the average age of four of them is 32 years. So, the sum of their ages is 4 * 32 = 128 years.

To find the sum of the ages of the two remaining men, we subtract the sum of the ages of the four men from the sum of the ages of all six men:

210 - 128 = 82 years.

Now, we can set up an equation to solve for the ages of the remaining two men:

x + (x + 3) = 82.

Combining like terms, we get:

2x + 3 = 82.

Subtracting 3 from both sides:

2x = 79.

Dividing both sides by 2:

x = 39.5.

So, one of the remaining men is 39.5 years old, and the other is 39.5 + 3 = 42.5 years old.

Sasha hasn’t won any of the 40 games she has played with her four friends so far. She wants to win at least 20%. How many does she need to win in a row to get 20%?

Answers

Answer:

10

Step-by-step explanation:

Given that Sasha has won 0 games in the 40 games she has played.

Let she needs to win x game in a row, so

Total game she played = 40 + x

The number of the game she won is x, which is 20% of the total game she played, so

x = 20% of (40+x)

\(\Rightarrow x = 0.2(40+x) \\\\\Rightarrow x = 8+0.2x \\\\\Rightarrow x-0.2x=8 \\\\\Rightarrow 0.8x = 8 \\\\\Rightarrow x = 8/0.8=10.\)

Hence, she needs to win 10 games in a row.

What is 8ab-5bc +21ba-7?

Answers

Answer:

29ba - 7 - 5bc

Step-by-step explanation:

8ab-5bc +21ba-7

The terms 8ab, 5bc, and 21ba are made up of units multiplied by each other.  This means that each can be rewritten in a different order.  For example,

8ab is the same as:

8ba, b8a, ab8, ba8, or a8b

We may rewrite the terms to see the ones that can be combined.

8ab-5bc +21ba-7

8ba-5bc +21ba-7

8ba+21ba-7-5bc

29ba - 7 - 5bc

If a price decreases by 20% I can calculate 20% of the price and subtract it from the original price or I can calculate it in one step and find blank percent of the original price

Answers

Answer:

both statements are fine

Step-by-step explanation:

To find the price of a product after decreasing it, they can be done in the two ways that the statement tells us,

First, calculate that% that was decreased and then subtract it from the original price or simply multiply that original price by the percentage in which the new price would remain.

For example:

let "x" be the original price

in the first case it would be:

0.2 * x and then subtract from x, i.e .:

x - 0.2 * x

in the second case it is:

1 - 0.2 = 0.8

that is, the new price would be 0.8 * x

What are the steps for using a compass and straightedge to construct a square? drag the steps and drop them in order from start to finish.

Answers

2,5,4,6,1,7,3 is the correct order to construct a square.

So looking at the 7 available steps, only the step "Construct horizontal PQ" is possible since that's just a matter of drawing a straight line and labeling the endpoints P and Q. In any case, here are the 7 steps in order. The number in parenthesis after the 1st number is the original scrambled order of that step.  

1. Construct horizontal PQ

2. Construct a circle with point P as the center and a circle with point Q as the center, each circle having a radius PQ

3. Label the point of intersection of the two circles above PQ, point R, and the point of intersection of the two circles below PQ, point S

4. Construct RS, the perpendicular bisector of PQ, intersecting PQ at point T

5. Construct a circle with point T as the center with a radius TQ

6. Label the point of intersection of circles T and RS closest to point R, point U, and the point of intersection of circles T and RS closest to point S, point V.

7. Construct PU, UQ, QV, and VP to complete square PUQV.

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What are the steps for using a compass and straightedge to construct a square? drag the steps and drop

Using the fact this is a 3, 4, 5 triangle, find the missing side *
Please help I will give 5 stars!

Using the fact this is a 3, 4, 5 triangle, find the missing side *Please help I will give 5 stars!

Answers

Answer:

0.8

Step-by-step explanation:

I Dont know 3, 4, 5 so I am going to just use the normal formula

a^2 + b^2 = c^2

0.6^2 + b^2 = 1^2

0.36 + b^2 = 1

b^2 = 0.64

b= 0.8

pls answer the question with explanation

pls answer the question with explanation

Answers

Answer:

a) 96m

b) 2 m/s^2

Step-by-step explanation:

The distance travelled in a velocity time graph as shown in the image is the area of the shape. As such, considering the first 14 seconds, the distance covered will be computed by finding the area of the shape.

Note that the shape to be considered ends t the 14 seconds mark. This shape is a trapezium. The area of  a trapezium is given as

A = 1/2(a + b) h

where a and b are the parallel sides of the trapezium and h is the height As such, the distance covered in the first 14 seconds

= 1/2 (14 + 10) * 8

= 4 * 24

= 96m

The acceleration after 4 seconds

Acceleration is the rate of change of velocity with time, at time 0 second, the velocity is also 0 but at time 4 seconds, the velocity is 8 m/s hence, the acceleration after 4 seconds

= 8/4

= 2 m/s^2

What is the equation of this line written in slope-intercept form?
y − 5/2 = −2(x+1)

A) y = −2x − 9/2
B) y=−2x+12
C) y = −2x + 7/2

Answers

i think you had a problem in number B which it's suppose to be 1/2 so the correct answer is B

Step-by-step explanation:

.

The equation of this line, y − 5/2 = −2 (x+1) written in slope-intercept form, is y = -2x + 1/2.

What is a line?

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

The equation of a line in slope intercept form,

y − 5/2 = −2 (x+1)

Simplify the above equation,

y - 5 / 2 = -2x - 2

y = -2x - 2 + 5/2

y = -4x - 4 + 5 / 2

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

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Select the correct answer.
Which statement is true about the graphed cubic function?

Select the correct answer.Which statement is true about the graphed cubic function?

Answers

Step-by-step explanation:

The cubic function passes the x-axis only once,

so there is 1 distinct real zeroes and 2 complex zeroes.

The function has only one real zero and two complex zeroes. Then the correct option is D.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The graph of the cubic function is shown.

The intersection of the curve with the x-axis is known as the zeroes of the function.

From the graph, the curve that cut the x-axis is only one point. Then the function has only one real zero and two complex zeroes.

Thus, the correct option is D.

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A bookstore sells cookbooks, novels and reference books. The ratio of the number of
cookbooks to the number of novels is 2:11. The ratio of the number of cookbooks to
the number of reference books is 3: 4. What is the ratio of the number of cookbooks
to the number of novels to the number of reference books at the bookstore?

Answers

Step-by-step explanation:

cookbooks : novels 2 : 11 So 6 : 33

cookbooks : reference books 3 : 4 So 6 : 8

novels : cookbooks : reference books

33 : 6 : 8

Answer:

6 : 33 : 8

Step-by-step explanation:

cookbook = C

novel = N

reference book = R

C : N = 2 : 11

C : R = 3 : 4

C : N : R = ?

Start with C : N = 2 : 11

2 is not divisible by 2, so multiply this ratio by 3.

C : N = 6 : 33

C : R = 3 : 4 multiply by 2 to get

C : R = 6 : 8

C : N : R = 6 : 33 : 8

Help pls!!!!!!!!!!!!!!

Help pls!!!!!!!!!!!!!!

Answers

Answer:

46°

Step-by-step explanation:

tan Ф = 21/20

Ф = tan-1 (21/20)

= 46°

Graph the linear inequality shown below on the provided graph. y>-3x+8

Answers

On graphing the inequality , a dotted line and the shaded area is seen which means all the values above that line is included.

What is a Linear Inequality ?

When two algebraic expressions are equated using inequality operators < ,> etc , the statement formed is called Linear Inequality.

The inequality given is

y > - 3x+8

On graphing the inequality , a dotted line and the shaded area is seen which means all the values above that line is included.

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Graph the linear inequality shown below on the provided graph. y&gt;-3x+8

an electric pump is listed at $254.25. find the net cost of the pump at a 20 iscount.

Answers

$203.4 is the net cost of the electric pump at 20% discount rate.

The list price of an electric pump is $254.25. We need to calculate the net cost of the pump after applying a 20% discount.

The discount is given by taking 20% of the list price. So, we can calculate the discount amount as follows: (20/100) x 254.25 = $50.85.

To determine the net cost of the electric pump, we subtract the discount amount from the list price. Thus, the calculation becomes: $254.25 - $50.85 = $203.4.

Therefore, the net cost of the electric pump, after applying a 20% discount, is $203.4.

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I don’t understand what I’m suppose to do. Can someone please help?

I dont understand what Im suppose to do. Can someone please help?

Answers

From the 64 values in the table on the left, count how many fall within the given ranges under the "classes" column in the table on the right. The "frequency" is the number of values in the data that belong to a given "class".

For example, "< -16.0" means "values below -16.0". Only one number satisfies this: -16.2 (first row, third column). So the frequency for this class is just 1.

Then for the range "-15.9 - 13.0", which probably means "numbers between 15.9 and -13.0, inclusive", the frequency is 0 because every number in the table is larger than the ones in this range.

And so on.

Please help me ........

Please help me ........

Answers

what do you do????.....

Answer:

How are we supposed to do this do we just write out every answer? :D

Step-by-step explanation:

To surprise her cousin, Eliana puts confetti in his birthday card before mailing it. At the post office, she learns that her card is 5 grams too heavy for a common stamp. So, she takes out some of the confetti. If each piece of confetti weighs about 50 milligrams, how many pieces does Eliana need to take out?

Answers

The number of pieces that Eliana need to take out is; 100 pieces

How to carry out Unit Conversions?

From conversion units, we know that 1 gram (g) is equal to 1000 milligrams (mg). Thus; 1 g = 1000 mg

Now, we are told that at the post office, she learns that her card is 5 grams too heavy for a common stamp. So, she takes out some of the confetti.

However, each piece weighs 50 milligrams. Converting to grams gives us; 50/1000 = 0.05 grams

Thus, number of pieces to take out = 5/0.05 = 100 pieces

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pls help me 10 points

pls help me 10 points

Answers

Answer:

-4

Step-by-step explanation:

that is the slope

what is the area of a triangle whose sides measure 13 inches, 15 inches, and 24 inches? enter your answer in the box in simplified radical form.

Answers

Answer:

  26√11 square inches

Step-by-step explanation:

You want to know the area of a triangle with side lengths 13, 15, and 24 inches.

Heron's formula

The area of a triangle can be found using Heron's formula:

  A = √(s(s -a)(s -b)(s -c)) . . . . . where s = (a+b+c)/2

Application

For (a, b, c) = (13, 15, 24), the area is ...

  s = (13 +15 +24)/2 = 26

  A = √(26(26 -13)(26 -15)(26 -24)) = √(26·13·11·2) = 26√11

The area of the triangle is 26√11 square inches.

__

Additional comment

That's about 86.23 square inches.

<95141404393>

a number between 2.6 and 2.61

Answers

Answer:

2.6021 all the way to 2.609

Find The total number of unit cubes that fill the entire prism.

Answers

Answer:

64

Step-by-step explanation:

put branileist

Answer:

Step-by-step explanation:

72 cuz u multiply 6x3x4=72

what is the answer ???????​

what is the answer ???????

Answers

Answer:

20%

Step-by-step explanation:

Percentage decrease is calculated as

\(\frac{decrease}{original}\) × 100%

decrease = 80 - 64 = 16 , then

percent decrease = \(\frac{16}{80}\) × 100% = 0.2 × 100% = 20%


HELP PLEASE PLEASE PLEASE

1. A lawncare worker charges $45 per hour of work.
additional fee of $20 for equipment transportation.
A. Write an equation in slope-intercept form for this
situation
B. Il your total bill was S155, how long did the worker fix
your yard?
C. If the lawncare worker works a full 8-hour shift, how
much does he make

Answers

A.Slope- intercept form is y= Mx+b so y= 45x + 20

B. 3 hours;
155=45x+20
155 -20 = 135
135/45 = 3

C. $380
y= 45(8)+ 20
45*8= 360
360+20= 380

Consider the following. (If an answer does not exist, enter DNE.)f(x) = x^7 e^-x(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)(b) Find the interval(s) on which f is decreasing.(Enter your answer using interval notation.)(c) Find the exact local minimum and maximum value of f.

Answers

(a) f is increasing on the interval (0, ∞).

(b) f is decreasing on the interval (-∞, 0).

To find the intervals where f is increasing or decreasing, we need to look at the sign of its derivative, which is given by f'(x) = x^6 e^(-x)(7-x).

When x > 0, f'(x) > 0, which means f is increasing on (0, ∞).

When x < 0, f'(x) < 0, which means f is decreasing on (-∞, 0).

To find the local minimum and maximum values, we need to look for critical points where f'(x) = 0 or f'(x) is undefined. Solving f'(x) = 0, we get x = 0 and x = 7.

Since f''(x) = e^(-x)(x^5(42-7x)-12x^4), we have f''(0) < 0 and f''(7) > 0. Therefore, f(0) is a local maximum and f(7) is a local minimum. The exact values are f(0) = 0 and f(7) = (7^7/e^7).

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Use the properties of logarithms to expand log (3^2xy) as much as possible.

Answers

Answer:

I have no idea

Step-by-step explanation:

So I don’t understand what I have to do exactly. Help me out ?

So I dont understand what I have to do exactly. Help me out ?

Answers

Answer:

You have to make a frequency table.

Step-by-step explanation:

The classes are

.320- .329

.330-.339

.340 - .349

.350 - .359

.360 - .369

Then, you have to find to find how many values would fall into the class of .340 - .349.

Classes are basically compound inequalities.

.320 ≤ x ≤.329

All x values that are less than (or equal to) .329 but greater than .320 fall into the class of

.320- .329.

Frequency is just how many numbers are in a class.

can someone answer this for me?

can someone answer this for me?

Answers

Answer:

-1

Step-by-step explanation:

(-1 +2)/(-3+2)

Pls mark Brainiest :)

125−−−√3−25−−√=□ Solve the equation. A 0 B 10 C 20 D 25

Answers

The required answer is 0. On solving, ∛125 - √25 we get 0.

Simplifying exponents is a method of simplifying the algebraic expressions involving exponents into a simpler form such that they cannot further be simplified. There are rules in algebra for simplifying exponents with different and same bases that we can use. Various arithmetic operations like addition, subtraction, multiplication, and division can be applied to simplify exponent algebraic expressions, exponents in fractions, and negative exponents using the laws of exponents.

Given that, ∛125 - √25 = ----- we have to simplify this equation. Let's proceed to solve this question.

= ∛125 - √25

Now, 125 = 5 × 5 × 5 = 5³ and 25 = 5 × 5 = 5²

So, we get

= ∛(5)³ - √(5)²

= 5 - 5

= 0

∴ ∛125 - √25 = 0

Therefore, on solving the given expression, we get 0.

Hence, ∛125 - √25 = 0 is the required answer,

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