How many roots does the polynomial….

How Many Roots Does The Polynomial.

Answers

Answer 1

Answer:

  (a)  3

Step-by-step explanation:

The fundamental theorem of algebra tells you a polynomial has a number of roots equal to its degree.

Roots

The degree of a polynomial is the largest exponent of the variable. Here, the degree is 3. That means there are three roots.

In general, the roots of a polynomial with real coefficients will be real or pairs of complex roots. The attached graph shows the roots of this cubic function are all real (and irrational).

How Many Roots Does The Polynomial.

Related Questions

Why can’t astronomers take a picture of a black hole?

Gravity is so strong that even light cannot escape a black hole.
The nearest black hole is too far away to be seen.
There is no way to detect the locations of black holes.
Black holes are too large to photograph.

Answers

i think it is that gravity is too strong for light to escape a black hole

Answer:

A

Step-by-step explanation:

edge 2023

Use the quadratic formula to find the solutions to the quadratic equation
below.
x-5x-4 = 0
O A. x =
O
-5+√41
2
B. x = 5±√41
O c. x =
C.
-5+√/29
D. x = 5√2

Answers

Answer:

A, B

Step-by-step explanation:

[tex]x^2-5x-4=0 \\ \\ x=\frac{5 \pm \sqrt{(-5)^2-4(1)(-4)}}{2}[/tex]

On simplifying, the correct answers are A and B.

Need help right now please I don’t understand why this question is so hard

Answers

Answer:

A:33

B:22

C:74

Step-by-step explanation:

A:

2x2x2=8

5x5=25

8+25=33

B:

7x7=49

3x3x3=27

49-27=22

C:

8x8=64

square root of 100 is 10

64+10=74

i hope this helps :)

What is the exponential form of 5 * 5 * 7 * 7 * 7?

Answers

The exponential form of 5 * 5 * 7 * 7 * 7 is [tex]5^{2}[/tex] * [tex]7^{3}[/tex] . Exponential form can be written from the prime factorization of the number.

To get the exponential form of a number we have to write the prime factorization of that number. Prime factorization of the number is that number written as a product of prime numbers or as a product of powers of prime numbers. A basic exponential function from its definition is of the form f(x) = b x, where 'b' is a constant and 'x' is a variable. generally it refers to the positive valued function of a real variable. We can find the prime factorization of a number using factor trees, which are tools used to repeatedly break a number into products until all of the factors are prime numbers.

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1. The function that describes the rigid motion could be (x, y) -
A. (2x, y).
C. (y,-22).
B. (x - 3,y).
D. (x,3).

Answers

the answer is definitely c or b i can’t tell if u meant to put that there or not but it’s the second option i think

Which one of the following triangles has only 2 equal sides.(i) Equilateral triangle(ii) Scalene Triangle(iii) Isosceles Triangle​

Answers

The correct option is (iii) Isosceles triangle is the one which has only 2 equal sides.

Every triangle is made up of three sides and three angles. A side is opposing an angle or a vertex if none of its ends is at the given angle's vertex. An angle is included between two sides if their common terminus is the angle's vertex.

Triangles are divided into one of three types based on the lengths of its sides: scalene, isosceles, or equilateral. A triangle is scalene if none of its sides are equal (of equal length). The triangle is isosceles if two or more of its sides are equal. A triangle is equilateral if all three of its sides are equal. By definition, all equilateral triangles are also isosceles.

Therefore, the correct answer is option (iii) Isosceles Triangle

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In the triangle below, with right angle Q, suppose that m/R= (3x+2) and m/S= (2x+18).
Find the degree measure of each angle in the triangle.

Answers

Angle Q=90
Angle R= 44
Angle S=46

solve each system by substitution

y=4x
x-2y=56

Answers

Answer:

-8

Step-by-step explanation:

Since it tells you that y=4x you can use that to replace y in the next equation so now it's

X-2(4x)=56

Distribute the -2

X-8x=56

Subtract -8x from x

-7x=56

Divide by -7

X=-8

Answer:

x=−8

y=−32

pspdwdpvprngbpnrpt

The Chamber of Commerce of a city in central Florida is making brochure to attract tourists. They recorded the high temperatures (in degrees Fahrenheit) for a week in January to be 75, 72, 73, 56, 62, and 71. If you were a tourist planning to visit the area, which of these measures of central tendency would be the best to use as the most accurate indicator of the temperature for planning your wardrobe? Correct mean median mode range

Answers

The measure of central tendency that would be the best to use as the most accurate indicator of the temperature for planning your wardrobe is the mean.

What is the mean?

The ratio between the sum of all observations and the total number of observations in a data set is known as the mean in statistics. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set.

When a data set is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.

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the graph below represents a linear function. which of the following equations models the linear graph above?

Answers

the answer for this question is D.

I need help on filling in the blanks for these shapes

Answers

We can see here that the triangles have been attached to the corresponding angles and sides.

(a) ∠A ≅ ∠Y

    ∠B ≅ ∠Z

    ∠C ≅ ∠X

(b) Side AB ≅ Side YZ

    Side AC ≅ Side YX

    Side BC ≅ Side ZY

(c) ΔABC ≅ Δ YZX

What is congruent?

Congruent refers to the state of two geometric figures or shapes having the same size and shape. Two figures are congruent if one can be superimposed on the other by a combination of rotation, reflection, and translation.

Congruence is often denoted by the symbol “≅”. Congruence is a fundamental concept in Euclidean geometry, and it applies to many types of geometric figures, including lines, angles, triangles, and polygons.

We can see that the various angles and sides has been shown above.

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Trevor's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 5 coffees in all, 4 of which were regular. What percentage of the coffees were regular? Write your answer using a percent sign (%)

Answers

Answer:

80%

Step-by-step explanation:

since there were 5 coffees but 4 out of it were regular

mathematically

that's 4/5

but to percentage

that's times 100

4/5×100

4×100 all divided by 5

400 divided by 5

80%

Nadia is a stockbroker. She earns 12% commission each week. Last week, she sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?

Answers

Nadia made commission of $636 last week

She made $33072 commission in 2011.

What is percentage?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given,

Weekly commission of Nadia = 12%

Cost of stocks Nadia sold last week = $5300

Commission made by Nadia last week = 12% of $5300

                                                                 = (12/100) × 5300

                                                                 = 12 × 53

Commission made by Nadia last week = $636

No. of weeks in 2011 = 52 weeks

If she averages that same amount each week

Then commission made by her in 2011 = 52 × $636

                                                                 = $33072

Hence, $636 is the commission made by Nadia last week,

$33072 is the total commission made by Nadia in 2011.

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One lap around the inide lane of a tandard track i equal to 400 meter. Brad jog one lap around a track in one minute 30 econd. Auming he can maintain thi pace, how long will it take him to run a mile? Round your anwer to the nearet tenth of a minute

Answers

Brad takes 6 minutes to run a mile assuming he can maintain the same pace.

Given that,

One lap around the inside lane of a standard track = 400m

Time taken for Brad to jog one lap around a track = 1 minute and 30 secs

We know that one mile = 1609.34 meters = 1600 meters (approximately)

Since Brad can jog 400m in 1 minute and 30 secs

1600 meters = 400*4 meters

Assuming that he can maintain the same pace:

so, the total time taken to run 1 mile = 1 minute 30 secs * 4 = 6 minutes

Hence, Brad takes 6 minutes to run a mile assuming he can maintain the same pace.

Correct question: One lap around the inside lane of a standard track is equal to 400 meters: Brad jogs one lap around a track in one minute and 30 seconds. Assuming he can maintain this pace, how long will it take him to run a mile? Round your answer to the nearest tenth of a minute.

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Can you draw a triangle with sides of length 2cm 3cm and 7cm?

Answers

It is not possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm because the sum of two sides(2 cm and 3 cm) are smaller than third sides(7 cm).

In the given question, we have to check that it is possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always grater than the third side.

To check this we firstly add the 2 and 3

2 + 3 < 7

5 > 7

Now we add 2 and 7

2 + 7 > 3

9 > 3

Now we add 3 and 7

7 + 3 > 2

10 > 2

It is not possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm because the sum of two sides(2 cm and 3 cm) are smaller than third sides(7 cm).

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8.3 points
What is the leading coefficient in the polynomial 2v³ +4v² + 1?

2
4
1
3

Answers

The leading coefficient in the polynomial 2v³ +4v² + 1 will be A. 2

How can you determine a polynomial's leading coefficient?

The term with the highest power of x is the leading term in a polynomial. As an illustration, the leading term in 7 + x + 3x² is 3x².

The leading coefficient is the number in front of the variable with the highest power

A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.

In this case, this will be 2v³. The coefficient is 2.

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Last week, Darell spent 5 hours doing homework. Bruce did homework for 1/5 as many hours as Darell did. How many hours did Bruce spend doing homework?

Answers

The number of hours Bruce spent doing homework last week if he spent 1/5 of Darell's time is 1 hour.

How to solve fractions?

Time Darell spent doing homework last week = 5 hours

Time Bruce spent doing homework last week = 1/5 of Darell's time

= 1/5 of 5

= 1/5 × 5

= (1 × 5) / (5 × 1)

= 5/5

= 1 hour

In conclusion, given the fraction of time Bruce spent doing homework last week, that means, he spent 1 hour doing homework.

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Which two points on the number line represent numbers that can be combined to make zero?


B and D
A and B
C and D
A and C

Answers

Answer:

B and D

Step-by-step explanation:

-2+2=0

What ordered pairs are the solutions of the system of equations shown in the graph below?

Answers

Answer: (-4, 1) (-8, 9)

Explanation: These points are where the two functions meet

Find the missing values so that the area of the product is equal to the
area of its sum.

Answers

On solving the provided question, we can say that here, in the equation = (2x+3y)(3y-3)=12x+3y-15. so the missing values are = 3y

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here, in the equation

(2x+3y)(3y-3)=12x+3y-15

so the missing values are

3y

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The function g is defined by the following rule. g(x) = 2x +1​

Answers

The function g is defined by the following rule. g(x) = 2x +1​ can be represented in the method given below-

How does this occur?

The function f with g is written as (fg)(x)=f(g(x)), and is understood as f of g of x. The function g will be used in place of any x in the function f, according to this statement (x)

f(x), where x is the input, is a common way to refer to a function. A function can be conceptualized as y = f in general (x).

x= -3 then g(-3) = 2(-3) + 1                          = -5If x = -2 then g(-2) = 2(-2) + 1                               = -3if x = -1 then g(-1) = 2(-1) + 1                            = -1If x = 1 then g(1) then = 2(1) +1                                   =3

This is how by taking various x value we can find the value of g(x) = 2x +1​

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How do you convert base 10 to base 4?

Answers

Answer:

First, divide the number by the base to get the remainder. This remainder is the first, ie least significant, digit of the new number in the other base

Then repeat the process by dividing the quotient of step 1, by the new base. ...

Repeat this process until your quotient becomes less than the base

Step-by-step explanation:

What is the formula for finding the distance between two parallel lines?

Answers

[tex]d=\frac{|c_2-c_1|}{\sqrt{a^2+b^2}}[/tex]  is the formula used to calculate the distance between two parallel lines. This is derived from the slope-intercept equation.  

The two lines that never cross over one another are referred to as parallel lines. When the separation between these two lines is considered constant, then these two lines are parallel.

As a result, the distance between two lines can be determined by considering their perpendicular distance. The two parallel lines can be written using the slope-intercept form as y = mx + c₁ and y = mx + c₂, respectively.

Then, the formula to calculate distance is given by, [tex]d=\frac{|c_2-c_1|}{\sqrt{a^2+b^2}}[/tex]. Here, the intercepts of the two lines are c₁ and c₂, and a and b are the constants or integers.

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What is the y-intercept of y =- 2 5?

Answers

Comparing the given expression with the slope-intercept form, the intercept value is calculated. And the value is -2/5.

A line's slope gives information about its steepness or indicates how much y rises as x rises. The equation is typically written as y=mx+b in slope-intercept form. The slope in this equation is represented by the letter m, and the y-intercept is represented by the letter b. The y-intercept is calculated in the subsequent step by comparing the given expression with this.

The given expression is y =- 2/5. Comparing this expression with y=mx+b, we get, m=0, x=0, and b=-2/5. Therefore, the required y-intercept is -2/5.

The complete question is -

What is the y-intercept of y =- 2/5?

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What are these two problems fully simplified?

Answers

Answer:

1. 3/2 x m^5 x n

2. 54 x m^11 x n^9

Ellie is 1.75 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 20.25 meters. She stands 16.2 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answers

To find the height of the tree, we can use the tangent of the angle between the top of the tree and the tip of Ellie's shadow to find the height of the tree.

Tangent(theta) = Opposite / Adjacent

Opposite = height of tree

Adjacent = distance between Ellie and the tree

Tangent(theta) = height of tree / 16.2

We know that:

Tangent(theta) = 20.25 / 16.2

We can solve for the height of the tree by multiplying both sides of the equation by 16.2:

height of tree = Tangent(theta) * 16.2

height of tree = (20.25 / 16.2) * 16.2height of tree = 20.25

So, the height of the tree is 20.25 meters to the nearest hundredth of a meter.

Answer:  the height of the tree is 20.25 meters to the nearest hundredth of a meter.

Step-by-step explanation:

A fence post that is 5 feet tall casts a 2-foot shadow at the same time that a tree that is 26 feet tall casts a shadow in the same direction. Determine the length of the tree's shadow.

5.2 feet
10.4 feet
12.2 feet
15.4 feet

Answers

Answer:

10.4 feet

Step-by-step explanation:

26/5 = 5.2

5.2(2)=10.4

The length of the tree's shadow is 10.4 feet. Option B is correct.

What are Similar Triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

We can use similar triangles to solve this problem.

The ratio of the height of the fence post to its shadow is the same as the ratio of the height of the tree to its shadow.

(height of fence post) / (length of fence post's shadow) = (height of tree) / (length of tree's shadow)

Substituting the given values, we get:

5 / 2 = 26 / x

where x is the length of the tree's shadow.

Cross-multiplying and solving for x, we get:

x = 26 × 2 / 5

= 10.4 feet

Therefore, the length of the tree's shadow is 10.4 feet.

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factor each expression. You can check your answer by distributing. 8d + 20e

Answers

The factorization of given expression is 4(2d+5e).

What is factorization?

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given expression is 8d+20e.

In the given expression there are two terms and factors them are

8d= 2×2×2×d

20e= 2×2×5×e

So, the greatest common factor is 4

Now, 4(2d+5e)

Therefore, the factorization of given expression is 4(2d+5e).

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in 2009 the average weekly wage of men exceeded that of a woman by $162. the sum of their average wages equaled $1476. write and solve a system of equations to determine the average wage of men and of women in 2009

Answers

I’m I’m going out for dinner right after I eat 1314

what is the square root 15v to the 4th power times square root of 2v

Answers

the square root 15v to the 4th power times square root of 2v to the 3rd power is 15v^2 x 2v^3, or 30v^5.

What is square root?

The square root of a number is a value that, when multiplied by itself, produces the original number. For example, the square root of 16 is 4 because 4 x 4 = 16. In mathematics, the square root of a number is written as a radical symbol, with the number inside the radical symbol. The square root symbol is also known as the radical symbol or radix.

To calculate this, first take the square root of 15v to the 4th power, which is 3v. Then take the square root of 2v to the 3rd power, which is 2v.

Finally, multiply 3v and 2v together to get the final answer of 30v^5.

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Complete questions as follows-
What is the square root 15v to the 4th power times square root of 2v to the 3rd power?

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Read the summary of the first three paragraphs of "The World On Turtles Back. " [1] In the beginning, there was no land, only the great ocean. [2] The Sky-World, the home of the gods, was above the ocean. [3] A sacred tree stood at the center. [4] One of the gods pulled out some of its roots for his pregnant wife. [5] This created a hole in the floor of the Sky-World. [6] The man's wife fell through the hole toward the ocean below, clutching the roots in her hand. Which is the best way to combine sentences 4 and 5? One of the gods pulled out some of its roots for his pregnant wife, which created a hole in the floor of the Sky-World. One of the gods pulled out some of its roots for his pregnant wife, he created a hole in the floor of the Sky-World. One of the gods pulled out some of its roots for his pregnant wife which created a hole in the floor of the Sky-World. One of the gods pulled out some of its roots for his pregnant wife he created a hole in the floor of the Sky-World. The final step in the police selection process, before academy training begins, is usually the ___________ What are some ways that inventory enables winning strategies for companies?Through every-day low pricesThrough creating the treasure huntThrough service at any costThrough deep discountingAll of the above 9. 7 LAB: Find student with highest GPA (EO) Complete the Course class by implementing the findHighestStudent() method, which returns the Student object with the highest GPA in the course. Assume that no two students have the same highest GPA. Given classes: Class Course represents a course, which contains an ArrayList of Student objects as a course roster. (Type your code in here. ) Class Student represents a classroom student, which has three private fields: first name, last name, and GPA. (Hint: GetGPA() returns a student's GPA. ) Ex: If the following students and their GPA values are added to a course: Henry Nguyen with 3. 5 GPA Brenda Stern with 2. 0 GPA Lynda Robison with 3. 2 GPA Sonya King with 3. 9 GPA then the findHighestStudent() method returns a student and the program output is: Top student: Sonya King (GPA: 3. 9) 289222. 1747582. Qx3zqy7 LAB ACTIVITY 9. 7. 1: LAB: Find student with highest GPA (EO) 0 / 10 Rhett made a simple drawing of his house. It is a three dimensional figure with four faces that are rectangular and two that are square what kind of figure is it? Which nervous system controls the migrating motor complex of the small intestine? enteric nervous system somatic nervous system central nervous system sympathetic nervous system T/F the information technology infrastructure library (itil) is a framework provided by the government of the united kingdom and offers eight sets of management procedures. Find the differential of f(x,y)= sqrt(x^2 + y^3) at the point (1,3) .df==Then use the differential to estimate f(0.98,3.08).f(0.98,3.08) a metal bar 1.5 ft in length is subjected to axial tensile load which produces 0.015 in./in. elongation. poisson's ratio 0.25. determine the transverse strain. calculate the standard cell potential for a battery based on the following reactions: sn2 2e- sn(s) e = -0.14 v au3 3e- au(s) e = 1.50 v A low credit score can negatively affect a person's ability toA. rent an apartment.B. get approved for a debit card.C. open a savings account.D. qualify for a driver's license. An object is placed in front of a convex mirror at a distance larger than twice the magnitude of the focal length of the mirror. The image will appear upright and reduced. inverted and reduced. inverted and enlarged. in front of the mirror. upright and enlarged. How does a practice manager calculate the practice's transactions per full-time-equivalent (FTE) doctor? OA. By dividing the total revenue in a day by the number of client visits OB. By dividing the hospital profit by the total hospital revenue OC. By examining the number of transactions in a given time period and dividing that number by the number of FTE doctors in the practice OD. By recording the number of transactions in a given time period Mark for review (Will be highlighted on the review page) 18/5 divided by 3/25 in simplest form A quantity of a monatomic ideal gas expands to twice the volume while maintaining the same pressure. If the internal energy of the gas were U0 before the expansion, what is it after the expansion? prepare a time plot of the residuals. what information is provided by your plot? Find an explicit solution of the given initial-value problem.dx/dt = 4(x2+1), x(/4) = 1. if the back-up buyer (buyer 2) has an option to terminate, when does the option period start? What are the differences between the gracile australopithecines (like anamensis, afarensis, garhi) and the robust ones (like robustus and boesei) (also called Paranthropus)? amino acid changes in histone h4 are well tolerated in evolution.