(a) Explain how the Fundamental Theorem of Algebra is used to determine the number of roots for
2x^2 + 3x +5
(b) What are the roots of 2x^2 + 3x + 5? Show your work. Explain why you chose the method you used to find
the roots.
Answer:

Answers

Answer 1

Answer:

Step-by-step explanation

2x²+3x+5 roots means the zeros

So the method we will use is quadratic formula it's will tell us from the start whether this equation have a real solution no solution or one solution only calculating its discriminant

b²-4ac=3²-4(3)(5)

9-60=-51

If the discriminant is < 0 means the equation have no solution


Related Questions

PLEASE ANSWER!!!! I WILL MARK YOU AS BRAINLIEST PLEASE SCHOOL IS STRESSFUL AND I JUST WANT TO GET THIS DONE!!!

Answers

Answer:

Negative, Zero, Undefined, Positive, -10, -2/3, 3/5

Step-by-step explanation:

Answer:

just follow what it says for #5 and above.

Step-by-step explanation:

Look up angels

See witch one looks like the one you have

See what it says

Put it on the paper.

``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````                   (3, 8) and (4, -2)

(-3, 2) and (6, -4)

I didn't copy off of google!

Question 10 of 10
What is the value of y?
604
12
12
80A
A
12
O A. 60°
O B. 120
O C. Cannot be determined
O D. 36

Answers

Answer:

A. 60°

General Formulas and Concepts:

Geometry

Equilateral Triangle - All side lengths and angles are equal to each other

Step-by-step explanation:

From the picture given, we see that all the side lengths are 12. Therefore, we can conclude that triangle ABC is an equilateral triangle.

Therefore, m∠y must equal 60°.

Catherine has been managing her company for a couple of years. She now plans to expand her business by bringing in fresh funding through a new stock issue. She would like to inform her investors about this development. What would Catherine use to inform investors about this development in her company?

Catherine would use _________ to inform investors about the development in her company.

Answers

Answer:

I would say that for Catherine, the best place to inform her investors about a new stock issue would be a news release on her company website so in that way it is made public, informs the investors and may attract more capital investment in the company as well.Step-by-step explanation:

Answer:

I believe the answer is company website

Step-by-step explanation:

if i'm incorrect i'm sorry

what is 118.4 billion in standard notation and scientific notation

Answers

118.4 x 10^9 or 118,400,000,000

Find the slope of each line.​

Answers

The answers are:

1) 2/3

2) -3/1 or just -3

Write the product using exponents.

(−t)⋅(−t)⋅(−t)⋅(−t)⋅(−t)
Using exponents, the product is

Answers

Answer:
(-t)^5

Explanation:
There are five t’s
(-t)^5
You are multiplying (-t) 5 time

I will give brainliest and thanks
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.

You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.

Answers

Answer:

The correct answers are a, c and d

Step-by-step explanation:

Solve for x.
Help ASAP please!!!

Answers

Answer:

The value of x is 4

Step-by-step explanation:

In a right triangle, if a segment is drawn from the right angle ⊥ to the hypotenuse like the given figure, then

∵ The length of one side of the right triangle = (x + 2)

∵ The length of the hypotenuse = x + 5

(x + 2)² = x (x + 5)

∵ (x + 2)² = (x + 2)(x + 2)

∴ (x + 2)(x + 2) = x(x + 5)

→ Simplify the two sides

∵ (x)(x) + (x)(2) + (2)(x) + (2)(2) = (x)(x) + (x)(5)

∴ x² + 2x + 2x + 4 = x² + 5x

→ Add the like terms in the left side

x² + 4x + 4 = x² + 5x

→ Subtract x² from both sides

∵ x² - x² + 4x + 4 = x² - x² + 5x

∴ 4x + 4 = 5x

→ Subtract 4x from both sides

∴ 4x - 4x + 4 = 5x - 4x

4 = x

The value of x is 4

There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.

Answers

Answer:12

Step-by-step explanation:I did the math

Rebotar Inc. makes basketballs. Their fixed costs are $3,450. Variable costs are $12 per basketball. If the basketball is priced at $25 and 300 basketballs are sold, did Rebotar break even? How do you know? Show all work​

Answers

Given:

Fixed cost = $3,450

Variable cost = $12 per basketball

Selling price = $25 per basketball

Number of basketball sold = 300

To find:

Whether Rebotar did break even.

Solution:

According to the question,

Cost of 1 basketball = $12

Cost of 300 basketball = $12×300

We know that,

Total cost = Fixed cost + Variable cost

[tex]TC=3450+12(300)[/tex]

[tex]TC=3450+3600[/tex]

[tex]TC=7050[/tex]

So, the total cost is $7050.

Now,

Selling price of a basketball = $25

Selling price of 300 basketball = $25×300

Total revenue is

[tex]TR=25\times 300[/tex]

[tex]TR=7500[/tex]

So, total revenue is $7500.

At break even situation the profit is zero. In other words, the total revenue is equal to total cost.

Since, [tex]TC\neq TR[/tex], therefore, Rebotar did not break even.

What is the measure of x?
a.144°
b.18°
c.72°
d.36°

Answers

the question is not completed
there is some numbers mising

A boy wants to jump onto a carousel that is spinning at a rate of 14 revolutions per minute. if the carousel is 23 feet in diameter, how fast must the boy run to match the speed of the carousel and jump on?

a. 2.68 feet per second
b. 1,011.59 feet per second
c. 33.72 feet per second
d. 16.86 feet per second

Answers

Answer:

16.86 ft/s

Step-by-step explanation:

Given that,

Angular speed of a carousel, [tex]\omega=14\ rev/min[/tex]

The diameter of the carousel, d = 23 feet

We need to find the speed of the carousel and jump on.

[tex]\omega=14\ rev/min=1.46\ rad/s[/tex]

Radius, r = 11.5 feet

Let v is the velocity. So,

[tex]v=r\omega\\\\=11.5\times 1.46\\\\=16.79\ ft/s[/tex]

Hernce, the correct option is (d) "16.86 ft/s"

Families with 5 children are randomly selected find the expected number of boys a family might have

Answers

Answer:

The expected number of boys a family might have is 2.5.

Step-by-step explanation:

Let X denote the number of boys in a family with 5 children.

The probability of a boy is, p = 0.50.

The child can either be a by or a girl independently.

The random variable X follows a binomial distribution with parameters n = 5 and p = 0.50.

The probability mass function is:

[tex]p_{X}(x)={5\choose x}(0.50)^{x}(1-0.50)^{5-x};\ x=0,1,2...5[/tex]

Compute the expected number of boys a family might have as follows:

[tex]E(X)=\sum x\cdot p_{X}(x)[/tex]

x                                      p (x)                                           x · p (x)

0       [tex]p(0)={5\choose 0}(0.50)^{0}(1-0.50)^{5-0}=0.03125[/tex]          [tex]0\times 0.03125=0[/tex]

1        [tex]p(1)={5\choose 1}(0.50)^{1}(1-0.50)^{5-1}=0.15625[/tex]          [tex]1\times 0.15625=0.15625[/tex]

2       [tex]p(2)={5\choose 2}(0.50)^{2}(1-0.50)^{5-2}=0.3125[/tex]           [tex]2\times 0.3125=0.625[/tex]

3       [tex]p(3)={5\choose 3}(0.50)^{3}(1-0.50)^{5-3}=0.3125[/tex]           [tex]3\times 0.3125=0.9375[/tex]

4       [tex]p(4)={5\choose 4}(0.50)^{4}(1-0.50)^{5-4}=0.15625[/tex]         [tex]4\times 0.15625=0.625[/tex]

5       [tex]p(5)={5\choose 5}(0.50)^{5}(1-0.50)^{5-5}=0.03125[/tex]         [tex]5\times 0.03125=0.15625[/tex]

Then,

[tex]E(X)=\sum x\cdot p_{X}(x)[/tex]

         [tex]=0+0.15625+0.625+0.9375+0.625+0.15625\\\\=2.5[/tex]

Thus, the expected number of boys a family might have is 2.5.

Simplify each expression (2a^4)^-3,a does not =0

Answers

Answer:

3rd option.) 1/8a^12

Step-by-step explanation:

(2a⁴)^-3

=1/(2a⁴)³

=1/8a^12

Answer: The next one is 3. 7/2v^2

Step-by-step explanation: In case you needed help with that

The circumference of a circle can be found using the formula C = 2πr.

Which is an equivalent equation solved for r?

Answers

Answer:r=C/2π

Step-by-step explanation:

Mack baked three different cakes, each requiring varying amounts of sugar. The first cake needed 1 and 1/4 cups of sugar, the second one needed 1 and 3/4 cups and the last one needed 1 and 2/4 cups. How much sugar was needed to bake the cakes?

A. 3 and 1/4 cups
B. 3 and 3/4 cups
C. 4 and 1/2 cups
D. 5 cups

Answers

It’s is C when you add them up

Answer:

C.

Step-by-step explanation:

Add the whole numbers first

then add 1/4 and 3/4 which makes 4 cups then 2/4 =1/2

4 and 1/2 cups

help please please please

Answers

Answer: the answer is x=30

Step-by-step explanation:

The answer is x=30 I believe

Determine the standard deviation (sigma)by filling in the table as part of your calculation. Consider the following data 6, 6, 10, 8, 10, 8 x x Overbar x minus x Overbar (x minus x Overbar) squared a. 1.63 c. 0.94 b. 0.47 d. 1.15

Answers

Answer:

A

Step-by-step explanation:

I got it right on the assignment 100%

Answer:here’s the answer for this question

Step-by-step explanation:edge2023

2. Patients arrive at a hospital accident and emergency department at random follow a
Poisson distribution at a rate of 6 per hour.
(a) Find the probability that, during any 90-minute period, the number of patients
arriving at the hospital accident and emergency department is
(i) exactly 7
(2 marks)
(ii) at least 3
(2 marks)
(b) What is the mean and standard deviation of the number of patients arriving at the
hospital accident and emergency department in an hour?
(2 marks)

Answers

Answer:

0.11711612445;

0.99376780489;

2.4494897

Step-by-step explanation:

Given that :

Arrival rate = 6 per hour

Mean Arrival during 90 minute period :

60 min = 6

90 min = (6 * 90) / 60 = 9

λ = 9

Using poisson :

P(x =x) = (e^-λ * λ^x) / x!

1) Exactly 7

P( x = 7) = (e^-9 * 9^7) / 7!

= 590.26526724266 / 5040

= 0.11711612445

Atleast 3:

P(x ≥ 3)

P(x ≥ 3) = 1 - P(x < 3)

P(x < 3) = p(x =0) + p(x = 1) + p(x = 2)

P(x = 0) = (e^-9 * 9^0) / 0! = 0.0001234098

P(x = 1) = (e^-9 * 9^1) / 1! = 0.00111068824

P(x = 2) = e^-9 * 9^2) / 2! = 0.00499809707

1 - P(x < 3) =

1 - (0.0001234098 + 0.00111068824 + 0.00499809707)

1 - 0.00623219511

= 0.99376780489

B.) mean and standard deviation of the number of patients arriving at the hospital accident and emergency department in an hour?

Mean = arrival per hour = λ = 6

Standard deviation = √λ = √6

Standard deviation = 2.4494897

The probability that, during any 90-minute period, the number of patients  arriving at the hospital accident and emergency department is exactly 7 is 0.11711612445 and the probability for at least 3 is 0.99376780489. The mean is 6 and the standard deviation is 2.4494897.

Given :

Patients arrive at a hospital accident and emergency department at random follow a  Poisson distribution at a rate of 6 per hour.

Accprding to the poisson distribution:

[tex]\rm P(x=x)=\dfrac{(e^{-\lambda} \times \lambda^x )}{x!}[/tex]

a) The probability that, during any 90-minute period, the number of patients  arriving at the hospital accident and emergency department is:

First, determine the value of [tex]\lambda[/tex]:

[tex]\lambda = \dfrac{6\times 90}{60} = 9[/tex]

(i) At (x = 7) the probability is given by:

[tex]\rm P(x=7)=\dfrac{(e^{-9} \times 9^7 )}{7!}[/tex]

Simplify the above expression.

P(x = 7) = 0.11711612445

(ii) At (x [tex]\geq[/tex] 3) the probability is given by:

[tex]\rm P(x\geq 3)=1-P(x<3)[/tex]

[tex]\rm P(x\geq 3)=1-P(x=2)-P(x=1)-P(x=0)[/tex]

[tex]\rm P(x=2)=\dfrac{(e^{-9} \times 9^2 )}{2!}=0.00499809707[/tex]

[tex]\rm P(x=1)=\dfrac{(e^{-9} \times 9^1 )}{1!}= 0.00111068824[/tex]

[tex]\rm P(x=0)=\dfrac{(e^{-9} \times 9^0 )}{0!}= 0.0001234098[/tex]

So, the probability at (x [tex]\geq[/tex] 3) is given by:

[tex]\rm P(x\geq 3)=1-0.0001234098 - 0.00111068824 - 0.00499809707[/tex]

[tex]\rm P(x\geq 3)=1 - 0.00623219511[/tex]

[tex]\rm P(x\geq 3)= 0.99376780489[/tex]

b) The mean and standard deviation of the number of patients arriving at the  hospital accident and emergency department in an hour are given by:

[tex]\rm Mean = \lambda = 6\\\\[/tex]

[tex]\rm Standard\; Deviation=\sqrt{\lambda }= \sqrt{6} = 2.4494897[/tex]

For more information, refer to the link given below:

https://brainly.com/question/17716064

Pls can some one help if you like
A roller coaster moves along an inclined linear path before it reaches its maximum height. The car moves at a constant speed and gains 4 meters in height every 3 seconds.

The slope of the line that represents the height of the car in meters in terms of time in seconds is Answer 1

If the car takes 54 seconds to reach the maximum height, then the maximum height above the ground is answer2
meters.

tell me the answer pls

Answers

slope is rise/run
gains 4m height for every 3secons
rise=4m
run=3sec
slope=4/3

if takes 54seconds t
54 times 4/3=72 meters

max height is 72 meteres assuming that it starts from the ground level

ordered pairs satisfy the equation 3y−9x=9

Answers

Answer:

9

Step-by-step explanation:

3 (6)-9 (1)=9

18-9=9

i think that is the answer

. A shopper paid $500 for an item marked $400. What was the percent increase?

Answers

Answer:

.25=25%

Step-by-step explanation:

A road rises 20 feet for every 100 feet in horizontal distance. What is the slope?

Answers

Answer:

Slope, [tex]m=\dfrac{1}{5}[/tex]

Step-by-step explanation:

It is given that,

A road rises 20 feet for every 100 feet in horizontal distance.

Rise (vertical distance) = 20 feet

Run (horizontal distance) = 100 feet

Slope of the road is given by the ratio of rise to the run. It can be calculated as :

[tex]m=\dfrac{20}{100}\\\\=\dfrac{1}{5}[/tex]

So, the slope is [tex]\dfrac{1}{5}[/tex].

in the problem (5x8) + 3^2(7) which step should you perform last

Answers

The answer is what the other guy says

Answer:

3^2(7)

Step-by-step explanation:

(5×8)+3^2(7)

40+3^2(7)

40+9(7)

40+63=103

Construct a truth table for the given statement.
(~q^p)V(q^p)
Complete the truth about table
I think what I have done is wrong please help

Answers

Answer:

I'm going by lines

TTFFTTTFTTFTFTFFFFFFTFFF

The cost of gasoline for 12 gallons is $22.18. What is the cost of 1 gallon?

Answers

Answer:

$1.85

Step-by-step explanation:

12 gallons = $22.18

1 gallon = $22.18 ÷ 12

1 gallon = $1.85

m∠11 = 11x

m∠13 = 10x + 12

Answers

Answer:m∠11 = 11x

m∠13 = 10x + 12

Step-by-step explanation:

m∠11 = 11x

m∠13 = 10x + 12

Find The slope of the line that passes through (3,15) and (6,10)

Answers

Answer:

-5/3

Step-by-step explanation:

10-15=-5

6-3=3

Answer:

-5/3

Step-by-step explanation:

m=y2-y1/x2-x1

10-15-(-5)

6-3=3

-5/3

hope this helped :3

sorry if it is wrong

Someone pls help!! 15 points!

2f=-12
What is f?
f=?

Answers

Answer:

-6

Step-by-step explanation:

need help with the question in the image​

Answers

Answer:

y=2

Step-by-step explanation:

the image and preimage are 6 units apart so thhe line of reflection is in the middle at 3 units and is a line that is paralel to the x-axis

y=2

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