Which of the following polynomials has solutions that are not real numbers?
x2 - 6x +3
x2 + 4x +3
-X2 - 9x - 10
x2 + 2x + 3

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.


Related Questions

Help please and thank you

20 possible points if anyone gets this correct

Answers

Answer:

13

Step-by-step explanation:

I counted the X's of 1-3 and got 13 in total.

(Let me know if that was correct) :)

Answer:

13 students

Step-by-step explanation:

To solve this you count the x's above 1, 2, and three.

I hope this helps!!

Answer the question based on the graph

What is the Y-intercept?

What is the asymptote?

Answers

the y-intercept is 2.

On Tuesday afternoon at camp, Walter did archery and sailing before dinner. He spent 1 hour at archery and 1 hour and 20 minutes sailing. Sailing ended at 2:30 P.M. when it was time for dinner. What time did archery start?

Answers

Answer:

12:10

Step-by-step explanation:

1 hour and 20 minutes sailing- sailing ended at 2:30 pm when it was time for dinner.

For this, you simply have to subtract nd hour and 20 minutes from 2:30:

That is 1:10 pm.

Then, Walter spent an hour doing archery, so you take an hour off- which turns it back to 12:10 pm.

or 10 minutes after noon.

Thus, Archery started at 12:10 pm

Hope this helps, brainliest is always appreciated! :)
Have a nice day! cx

~Mitsuna

A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30

Answers

Answer:

77.00

Step-by-step explanation: just round and subtract

The price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

What is consumer price index?

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex] = cost of market basket in base period

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

[tex]CPI_t[/tex] = 186[tex]C_t[/tex] = To find[tex]C_0[/tex] = $41.40

Thus, we get:
[tex]186 = \dfrac{C_t}{41.4} \times 100\\\\C_t = \dfrac{186 \times 41.4}{100} \approx \$77[/tex]

Thus, the price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

Learn more about consumer price index here:

https://brainly.com/question/5992428

A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side?

Answers

Answer:

36

Step-by-step explanation:

For the largest possible whole number length, this means it would have to be the longest side. Let's let this third side have a length of x.

By the triangle inequality theorem, 19+18>x, which means x<37.

So, the largest possible whole number length for the third side is 36.

What is the volume of this figure?

2520 in³

1638 in³

1323 in³

935 in³
A right rectangular prism with a right triangular prism. The rectangular prism has a length of 14 inches, a width of 9 inches, and a height of 8 inches. The triangular prism shares a face with the rectangular prism. The triangular prism base has a length of 14 inches and a height of 5 inches. The height of the triangular prism is 9 inches.

Answers

Answer:

the answer is 1323. i took the quiz on k12 and this was the answer

Step-by-step explanation:

hi

1323

bye (disco lovely_jinni #2028

Evaluate the expression. Write your answer in scientific notation.
6 (6 x 10^-3) + 0.23 – (5 x 10^-2) =

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10.If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.16 • 10^-1


GUYS I NEED HELP ASAP IVE BEEN STUCK ON THIS MATH PROBLEM
The cylinder shown has a volume of 695 cubic inches.
What is the radius of the​ cylinder?

Answers

Step-by-step explanation:

[tex]volume = \pi {r}^{2}h[/tex]

[tex]695 = 3.14 \times {r}^{2} \times 11.5[/tex]

[tex] {r}^{2} = 19.2[/tex]

[tex]r = \sqrt{19.2} = 4.3[/tex]

INDEPENDENT or DEPENDENT?
Two marbles are drawn from a container in such a way that the first marble drawn is
replaced before selecting the second marble.

Answers

Answer:

what is 2dimes and one nickle and one quarter makes

Find the value of x and y​

Answers

Answer:

x=120

y=60

Step-by-step explanation:

i) y=60 [ corresponding angles]

ii) x + 60 = 180 [linear pair]

or, x = 180- 60

therefore, x is equal to 120

F(X)= -x^2 + 10x - 12

Answers

Answer:

(0, -22)

Step-by-step explanation:

       The y-intercept is the value of y when x is 0,

f(x) = -x² + 10x - 22

f(0) = -(0)² + 10(0) - 22

f(0) = - 22

                  The y-intercept is -22 at point (0, -22).

-> We can also see this when graphing, please see attached.

Note: If you want me to solve for f(x) = -x² + 10x - 12 as you wrote in text and not f(x) = -x² + 10x - 22 as the picture shows, let me know.

The area of a circle is 100π ft². What is the circumference, in feet? express your answer in terms of \piπ

Answers

Answer:

20π ft

Step-by-step explanation:

To find the circumference of the circle given its area, first find its radius.

[tex]\textcolor{steelblue}{\boxed{\text{Area of circle =}\pi {r}^{2} }}[/tex]

Substitute given area into the formula:

100π= πr²

Divide both sides by π:

100= r²

Square root both sides:

[tex]r = \sqrt{100} [/tex]

r= 10 ft

[tex]\textcolor{steelblue}{\boxed{\text{Circumference of circle = }2\pi {r}}}[/tex]

Since we have found the value of the radius, we can substitute r= 10 into the formula above to find the circumference.

Circumference of circle

= 2(π)(10)

= 20π ft

A large automobile manufacturing plant produces 1200 new cars every day. a qualitycontrol inspector checks a random sample of 90 cars from one day’s production and finds that 12 of them have minor paint flaws. calculate and interpret a 99% confidence interval for the proportion of all cars produced that day with minor paint flaws.

Answers

Using the z-distribution, it is found that the 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The other parameters are given by:

[tex]n = 90, \pi = \frac{12}{90} = 0.1333[/tex]

Then, the bounds of the interval are found as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 - 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.041[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 + 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.2256[/tex]

The 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.

More can be learned about the z-distribution at https://brainly.com/question/25890103

In a rhombus, the difference of the measures of the two angles between a side and the diagonals is 32°. What are the measures of the angles of the rhombus?

Answers

Answer:

122 and 58

Step-by-step explanation:

Please help I need to complete this today

Answers

angle B is 32 and angle C is 180-32


this is because vertical angles are always congruent and two angles that make a like add up to 180

Please help
brainliest for correct answer

Answers

x + y = 6

y = 6 - x

substitute the x values to find the value of y

x ║ -2 ║ -1 ║ 0 ║ 1 ║ 2 ║ 3

========================

y ║ 8  ║ 7  ║ 6 ║ 5 ║ 4 ║ 3

Graph:

What is the displacement current between the plates if the separation of the plates is r and they have an area of a?

Answers

A displacement current simply means the limited shift of electric components which occur when the voltage is applied to the capacitor.

What is displacement current?

Your information is incomplete. Therefore, an overview of the displacement current will be given.

A displacement current simply defines the terms of the rate of change of the electric displacement field.

It's the current due to the changing of the electric field that is inside the plate of the capacitor.

Learn more about displacement on:

https://brainly.com/question/321442

number 13 ..........

Answers

Answer:

See below

Step-by-step explanation:

Scale it by  -4/3   then shift it left by 3

  scale by - 4/3  is the same as flipping the function about the x-axis

      and scaling it by 4/3

Dennis biked 8 km and Patrick ran 6,172 m. Who traveled farther and by how much?

Answers

Answer:

Dennis : 4.971 miles

Patrick : 3.835 miles

Dennis ran 1.136 miles farther

find two z values so that the middle 65% of the area is bounded by them

Answers

Answer: Firstly in this question, we need to solve for

α

which is the part of the distribution of which we not looking for.

we can do this with the sum:

α

=

1

0.76

=

0.24

as

0.76

=

76

%

we also know that our Standard Normal Distribution is symmetric, so we must divide that

α

to be split on either side of our distribution. so we solve for:

α

2

=

0.24

2

=

0.12

then we find a correlating

z

-score for the value

0.12

and we get that

z

=

1.175

and

z

=

1.175

This becomes easier to understand when visualized, so observe how we do this sum.

Step-by-step explanation:

A store sells two cone-shaped funnels. What is the height of each funnel? Round your answer to the nearest tenth
(1 pt=28.875 in)
45 in
5 in
Volume 0.5 pint
Volume 1 pint
The height of the smaller funnel is about
inches.
The height of the larger funnel is about
inches.

Answers

Considering the volume of a cone, it is found that:

The height of the smaller funnel is about 2.72 inches.The height of the larger funnel is about 3.06 inches.

What is the volume of a cone?


The volume of a cone of radius r and height h is given by:

[tex]V = \frac{\pi r^2h}{3}[/tex]

For cone 1, we have that V = 0.5 x 28.875 = 14.4375 in³ and r = 2.25 in(half the diameter), hence:

[tex]\frac{\pi (2.25)^2h}{3} = 14.4375[/tex]

[tex]h = \frac{14.4375 \times 3}{\pi \times (2.25)^2}[/tex]

[tex]h = 2.72[/tex]

For cone 2, we have that V = 28.875 in³ and r = 3 in, hence:

[tex]\frac{\pi (2.25)^2h}{3} = 28.875[/tex]

[tex]h = \frac{28.875 \times 3}{\pi \times (3)^2}[/tex]

[tex]h = 3.06[/tex]

More can be learned about the volume of a cone at https://brainly.com/question/14281550

What is the correct answer?

Answers

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 4.4 \times 2.9 \times 1}[/tex]

[tex] \mathsf \purple{v = 12.76 {yd}^{3} }[/tex]

12.76 cubic yards

How to find the surface area of a rectangular prism?.

Answers

Answer;

A=2(W·l+h·l+h·w)

Step-by-step explanation:

multiply all the numbers by eachother  and multiply by 2

· is multiply

For example:

length-12

height-5

width-7

12×5+5×7+7×12=179

179×2=358

The costs for a new publishing company can be classified as fixed costs, such as rent and insurance, or variable costs, such as materials and labor. Fixed costs are constant, while variable costs change as the number of items produced changes. The graph shows the weekly variable costs based on the number of books produced.

a. If weekly fixed costs are $300, sketch a graph showing total expenses for the week.
b. Find the total cost of producing 75 books in a week.

Answers

Answer:

a) As weekly costs are fixed at $300, we simply need to shift the function up 300 units. (the new function is shown in blue on the attached graph).

b) Reading from the (blue) graph, the total cost of producing 75 books in a week is $600.

fixed cost + variable cost = $300 + $300 = $600

Y=x-12, y=14 what is x I need someone to answer fast please

Answers

Answer:

x = 26

Step-by-step explanation:

If Y= x - 12 and Y = 14

Then we input the value of y which gets us the equation of: 14 = x - 12

Now we add 12 on both sides to isolate the variable.

We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x

Easily we can find that 26=x

Help what's the correct question ​

Answers

5 x 3 = 15 and 5 x -2k = -10k so B

Find the area of the triangle. Enter your answer in the box. 27 mm 12 mm 14 mm sq mm​

Answers

Answer:

84 cm^2

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2 * b*h (b: base, h: height)

1/2 * 14 * 12 = 84 the area is indicated with cm^2 so the answer is 84 cm^2

PLEASE HELP
Which is the graph of f(x) = 1/4 (4)x?
No links

Answers

Answer:

3rd

Step-by-step explanation:

Answer: graph 3

Step-by-step explanation:

Please Help! What is the measure of the reference angle that corresponds to an angle of measure 278°

Answers

Answer:

82 degrees

Step-by-step explanation:

Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive.

82 DEGREES

Mia gets 15 out of 18 questions correct on a test. What is the ratio of correct
answers to the total number on the test in simplest form?

Answers

Answer:

5/6

Step-by-step explanation:

it's a 15:18 ratio, just needs simplification

Other Questions
Which best describes the range of the function f(x) = 2(3)x?y > 0y 0y > 2y 2 "the square of y decreased byquotient of 36 and 6"? How do you write 5.0 105 in standard form? Which of the following is TRUE about dressing infants? Please help !!! Whats the answer to this??No links please ! And no replies if you dont know the answer. 2. What number would you divide by to calculate the mean of 3, 4, 5, and 6?a. 6b. 3c. 5d. 4 This plant cell was changed because...(A) equal amounts of water moved across the cell wall(B) the concentration of water is greater inside the cell than outside the cell (C) more water left the cell than entered the cell(D) the cytoplasm moves water into the nucleus Please Help!Compare the function represented on the graph and the function modeled by y = 2 3 x. Click to select the TRUE statement(s).A. The y-intercept of both functions is 0.B. The slope of both functions is 3 2.C. The graph's function has a greater rate of change.D. Point (0, 0) is the point of intersection for the functions. Cellular respiration and photosynthesis are two of the major processes involved in cycling carbon through the carbon cycle. Examine the model. What is one way the cellular respiration cycle carbon compounds through the biosphere? Why do you think the celltheory has yet to beproven false? Which medical abbreviation would a doctor use to refer to a heart attack? thats the final straw is this sentence in literal or figurative language If angle 1 and angle 5 are vertical angles and angle 1 equals 55, then angle 5 will equal _____.A) can't be determinedB) 125C) 55D) 25 f(x) = x^2-3What is the average rate of change on the interval [-5, 2] ? Who declared Brazils independence from Portugal?A. Emperor Pedro IB. Getlio VargasC. Emperor Pedro IID. Dom Joo Does anyone know the answer to this ?? PLEASE HELP.No links please, dont answer if you dont know it :,) A wave pulse on a spring is 5.40 cm high and oriented upward. This pulse meets another pulse of the same shape which is 1.10 cm high but oriented downward.At the moment when the two pulses come together, what is the amplitude of the resulting pulse? Note: if the pulse is oriented upward, make its amplitude positive. If it is oriented downward, make its amplitude negative. 1. The Respiratory system allows the movement of _______________ into the body and ______________ gas out of the body. (4 marks)2. Inspiration or inhaling means (breathing in/breathing out) and expiration or exhaling means (breathing in/breathing out). (4 marks)3. The three main parts of the respiratory system are ______________, _________________ and the ________________.(6 marks)4. Match the respiratory parts with their main function by filling in the empty spaces in the table. trachea larynx alveolus diaphragm epiglottis bronchioles Part of the respiratory system Function Called the voice box because it has the vocal cords Tiny respiratory passages that deliver air to the alveoli The respiratory structures that allow the exchange of gases in the lungs A dome shaped muscle that is the main muscle of inspiration Called the windpipe. It is a large tube supported by rings of cartilage The structure that prevents food and water from entering the air passages and diverts them to the oesophagus(12 marks)5. What are the long-term effects of exercise on the Respiratory system? Write two things that happen to the Respiratory System when you exercise often. i) ______________________________________________________________________________________________________________________ii) ______________________________________________________________________________________________________________________(6 marks)6. Define/ state the meaning of the following:i) Health: ________________________________________________________________________________________________________________ii) Fitness:________________________________________________________________________________________________________________iii) Wellness:________________________________________________________________________________________________________________(6 marks)7. What is first aid?______________________________________________________________________________________________________________________(2 marks)8. Why is first aid important?______________________________________________________________________________________________________________________(2 marks)9. Define the term sport injuries______________________________________________________________________________________________________________________(2 marks)10. State the two causes of injuries and give two examples of each.i) ________________________________________________________ii) ________________________________________________________(6 marks) An organism must have provided all of the following to survive EXCEPT How might mike smith have benefited from chemotherapy that was developed using precision medicine?.