What is the discriminate of the following quadratic equation?
4x^2 - 2x + 6 = 0

Answers

Answer 1

-92

Step-by-step explanation:

If a quadratic equation has the following form:

[tex]ax^2 + bx + c =0, \;\;\;a \neq 0[/tex]

then its discriminant D is defined as

[tex]D = b^2 - 4ac[/tex]

In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is

[tex]D = (-2)^2 - 4(4)(6) = -92[/tex]

Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:

[tex]D > 0,\;\;[/tex] there will be 2 real roots

[tex]D = 0,\;\;[/tex] there will be 1 real root

[tex]D < 0,\;\;[/tex] there will be 2 imaginary roots

Hence our given quadratic equation will not have any real roots but only imaginary ones.


Related Questions

which one is great 10% or 1.0- which on is greater 30% or 1/3- which one is greater 0.9 or 95%- which one is greater 80% or 5/8​

Answers

Answer:

see exp

Step-by-step explanation:

1.0, 1/3, 95%, 80%

Suppose that the probability that an item produced by a certain machine will be defective is 0.1. Find the probability that a sample of 20 items will contain at most 2 defective items.

Answers

Answer:

no it is really easy question to answered so do it your self

Jada and Han order two identical pizza’s.jada ate 1/2 of hers and han ate 2/3 of his. How much pizza did they eat altogether

Answers

1 x 3
2 x 3

2 x 2
3 x 2

3/6
4/6

7/6= 1 1/6


1 1/6 is the final answer

The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.

Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.

The amount of pizza that they eat altogether will be given as,

⇒ 2/3 + 1/2

Add the fraction, then we have

⇒ 2/3 + 1/2

⇒ (4 + 3) / 6

⇒ 7 / 6

The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Please help me it's due in 5 minutes!! I will give brainliest!

Answers

Answer:

[tex]110 + 11w[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]11(10 + w)[/tex]

[tex](11 * 10) + (11 * w)[/tex]

[tex]110 + 11w[/tex]

Answer:  [tex]110 + 11w[/tex]

1/4 plus 4/9 divided by -2/3
NO MIXED NUMBERS

Answers

Answer:

The answer is -.17 and that is rounded to the nearest hundredth.

Step-by-step explanation:

Let me know if you need it!

Jane is going to purchase a home in a gated community with a sale price of $250,000. She is able to put 20% down for her down-payment and get a mortgage for the balance. The community has Homeowner Association dues of $200 per month. The cost of home insurance is $3,600 yearly. The taxes are $1,200 yearly. She is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.5%. Interest rate for the 15-year mortgage is 2.75%. Jane's credit score is 585.

1) What will her monthly payment be , including taxes, insurance, and other fees, rounded to the nearest dollar, if she chooses the 30 year fixed?

2) Assuming she makes monthly payments for 30 years, How much will Jane have paid total for the house at the end of the 30 years? Don't forget the down-payment.

3) What will her monthly payment be rounded to the nearest dollar, including taxes, insurance, and other fees, if she chooses the 15 year fixed?

4) Assuming she makes monthly payments for 15 years, How much will Jane have paid total for the house at the end of the 15 years? Don't forget the downpayment.

Answers

Answer:

Step-by-step explanation: this is hard

When rolling a die what is probability of rolling a one

Answers

Answer:

1/6

Step-by-step explanation:

6 sides. 1 face with number 1. 1/6

multiply 8 by 10, then subtract t from the result

Answers

Answer:

80-t

Step-by-step explanation:

8(10)=80

80-t

Not sure if this is what you mean... please attach a picture to your question.

somebody please help me:(

Answers

How do you need help?
It would be 15 units

Given f (x) = x² + 4x + 5, what is

Answers

Answer:

8+h

Step-by-step explanation:

Simply substitute x = 2+h and x = 2 in.

[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{(2+h)^{2} +4(2+h)+5-[(2)^2+4(2)+5]}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{4+4h+h^2 +8+4h+5-17}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{h^2 +8h}{h}=h+8}[/tex]

Therefore, the answer is h+8 or 8+h.

Another way is to differentiate the function with respect to x. This equation or expression is rate of changes from 2 to 2+h with h being any numbers.

The definition of derivative is:

[tex]\displaystyle \large{f\prime(x)= \lim_{h \to 0}\frac{f(x+h)-f(x)}{h}}[/tex]

Notice how both f(2+h)-f(2) over h and the definition of derivative look same except the derivative has limit of h approaching to 0, making h not having any values by default.

Since f(2+h)-f(2) over h does not have limit, we have to add +h when differentiating the function.

[tex]\displaystyle \large{f\prime(x)=2x+4}\\\displaystyle \large{f\prime(2)=2(2)+4}\\\displaystyle \large{f\prime(2)=8}[/tex]

Since f’(2) is 8 but because f(2+h)-f(2)/h does not have limit of h, therefore we add +h.

[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=8+h}}[/tex]

Pls help is correct ASAP

Answers

yeah, its correct! :)

How many times larger is 500 than 50

Answers

Answer:

10

Step-by-step explanation:

500/50=10

50*10=500

U like fruit WELL ANSWER THIS. lol pls help!!!

Answers

Answer:apple

Step-by-step explanation:

Answer:

Blueberries.

Step-by-step explanation:

Apples calorie is 80, Blueberries calorie is 83, Pumpkins calorie is 49, Raspberries calories is 10. The highest number of calories on this list is 83, which is blueberries

write the linear equation in slope intercept form (-2,-4) and (-3,-3)

Answers

Answer:

y=7x+18

Step-by-step explanation:

the y intercept is 18 and the slope is 7.

The variables x and y are directly
related. When x=15, y = 6. What is the
value of x when y = -4?

Answers

Answer: When y = -4, x = -10.

Explanation:
The equation for direct variation is y = kx^n, where k is the constant of variation. n is the exponent above the x value, but since this problem doesn’t involve exponents greater than one, we can ignore it.

First, find k.
y = kx
6 = k*15
k = 6/15 or 2/5

Now, we can solve for any x or y input. Let’s find x when y = -4.
y = kx
-4 = 2/5 * x
(to cancel out the fraction, multiply each side of the equation by its reciprocal, 5/2)
x = -4 * 5/2
x = -20/2
x = -10

What is the largest integer whose cube is less than 10,000?

Answers

Answer:

8 512 =8 X 8 X 8

Step-by-step explanation:

Calculate the distance between the points H=(-2, -5) and K=(-7, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answers

Answer:

[tex]d=\sqrt{61}[/tex]

Step-by-step explanation:

The distance is given by the expression[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{[(-2)-(-7)]^2+[(-5)-(1)]^2} = \sqrt{(-2+7)^2+(-5-1)^2}=\sqrt{(5)^2+(-6)^2}=\sqrt{(25+36)}=\sqrt {61}[/tex]

WILL MARK BRAINIEST!! 50 POINTS.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x).
Part B: Solve for k in each type of transformation.
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).

Answers

Answer:

Part A: The two types of types of transformation are

1) Rotation of 11.3° about (1, 2)

2) By algebraic transformation

Part B:

Rotation by 11.3° and T(2 - y)×1/2 + x, 0)

Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

Step-by-step explanation:

The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)

The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)

The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(3 - 1) = 5

The equation in point and slope form is y - 3 = 5×(x -1)

y = 5·x - 5 + 3 = 5·x - 3

y = 5·x - 3

The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(1 - 1) = ∞

∴ The equation in point and slope form is x = 1

Therefore, the two equations meet at the point (1, 2)

The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows

Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°

Rotation of f(x) by 11.3° about (1, 2) gives g(x)

Hope this helped!

For an experiment, the temperature of a liquid must stay above 60.5°F. The starting temperature of the liquid is 88.6°F. It is placed in a cooler, which lowers its temperature 2°F each minute.

How many minutes can the liquid can stay in the cooler?

Select from the drop-down menus to correctly complete the statement. at least 14.05 /more than 14.05/ fewer than 14.05 /at most

Answers

14.05 at most

If it is saying at least, than it would be in the cooler for longer than it should be and drop below 60.5

If saying more than 14.05, it is basically the same thing where it is inside the cooler for longer than it should be

If saying at most, that means that 14.05 is the max it would be in the cooler and keeps the liquid above 60.5

Answer: im late but here you go

12/2/22

Step-by-step explanation:

Draw the image of AABC under a translation by 3 units to the left and 3 units down

Answers

this is an answer if u have somethin better go for it

Find the value of the function sin Find the value of the function sin 310 a. –0.766044443119 c. 0 b. 0.850887688656 d. 0.003225800857

Answers

Answer:

  b. 0.850887688656

Step-by-step explanation:

Unless the argument of the sine function is specified in degrees or some other angle unit (revolutions, grads, minutes, seconds), it must be assumed to be radians. Here, the argument 310 is not shown as 310°, so we must assume it is 310 radians.

  sin(310) ≈ 0.850887688656

__

Additional comment

  sin(310°) ≈ –0.766044443119

A radian is dimensionless, indistinguishable from a pure number.

HURRY PLS!

Evaluate if a= 4 and b=7
28÷ b+7

A. 14
B. 11

Answers

Step-by-step explanation:

Hi, I think correct variant is B

(28÷7)+7=4+7=11

On a​ team, 4 girls and 3 boys scored a total of 57 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 3 boys is 15. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Each girl scored (BLANK) points.

Answers

Answer:

Each girl scores 8 points while each boy scores 4 points

Step-by-step explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points

hope this helps .

please i need help on this question

Answers

It’s c
Explanation: It’s multiplying by powers of ten which is multiplying by ten, and the small number on the top side basically just changes the ten to that number for example, 10X6 but if I put a 5 on the ten it turns to 50. It’s the highest because it’s 60X30

Work out the area of the shaded shape.

Answers

Answer:

61

Step-by-step explanation:

You can separate complex shapes like this one into 2 different shapes, to solve this question, find the area of both shapes, the rectangle, and the little square in the bottom right of the shape. It takes long to explain and I don't have much time but the answer is 61.

PLEASE HELP ASAPPP!!!!!!!! (Also lemme know it you want another 3 questions for brainliest!)

Answers

Answer:

associative

Step-by-step explanation:

8x1=8

no matter how you group it the answer will always be 8

Hey there!

Identity Property FORMULA

Addition Identity Property

a + 0 = a

Multiplication Identity Property

a × b = b × a

Associative Property FORMULA

Addition Associative Property

a + (b + c)

Multiplication Associative Property

a * (b * c) = (a * b) * c

Based on that information we have above… we should say that your answer is most likely: IDENTITY

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

If A = -3n + 2, and B = 5n - 7, what is the value of A - B, in simplest form?

Answers

Answer:

2n-5

Step-by-step explanation:

So you would combine your like terms witch would be -3n+5n which would give you 2n then you would do 2-7 and get -5 then you get you answer 2n-5

The value of (A - B) in the simplest form is (A - B) = -8n + 9.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equations are A = -3n + 2 and B = 5n - 7.

The value of A - B is:

A - B

= -3n + 2 - (5n - 7)

= -3n + 2 - 5n + 7

= -8n + 9

Hence, the value of (A - B) in the simplest form is (A - B) = -8n + 9.

Learn more about equations here:

https://brainly.com/question/10413253

Find the value of the expression

j − 14

for j = 18.

Answers

J -14 =
18 - 14 =
I think the answer is 4

Joe ran 2 miles in 16 minutes. At this rate how long did it take him to run 5 miles.

Answers

Answer:

40min

Step-by-step explanation:

Since the ratio is 2:16, we want simplify. both 2 and 16 are dividable by 2.

2 / 2 = 1

16 / 2 = 8.

Now we can use the ratio 1 mile per 8 min. We want the rate of how many min to miles, so we'd multiply 5 by 8 which equals 40.

Therefore it takes him 40min to run 5 miles.

Hope this helps!

PLS HELP ME WITH THIS (4 x 1) + (4 x 3)

Answers

Answer:

16

Step-by-step explanation:

4x1 is 4

4x3 is 12

4+12 is 16

Answer:

16

Step-by-step explanation:

Other Questions
Pls pls help if you know or can help find the answers greatly needed Which agricultural inventions prompted the Sung dynastys population growth?There is more than one answer:-New methods for breeding livestock were used-New irrigation techniques were used.-New strains of rice were grown.-New strains of wheat were grown.New methods for breeding livestock were used.HELP PLEASEEEE A wilting plant will have a full central vacuole What can you multiply by to find:50% of a number?10% of a number?75% of a number? It would help to know the answers for these. Any help?Elizabeth had grown up amidst the liberal culture of Henry's court, a bold horsewoman, a good shot, a graceful dancer, a skilled musician, and an accomplished scholar. She studied every morning and could "rub up her rusty Greek" as needed. The new literature which was springing up around her found constant welcome in her court. She spoke Italian and French as fluently as her mother tongue; she was familiar with Ariosto and Tasso and listened with delight to the writings of "Master Spenser."Her moral temper recalled in its strange contrasts the mixed blood within her veins. She was at once the daughter of Henry VIII and Ann Boleyn. From her father she inherited her frank and hardy address, her courage and self-confidence; her pride and furious outbursts of anger also came from the Tudor blood. Her sensuous and self-indulgent nature she inherited from Ann. Splendor and pleasure were with Elizabeth the very air she breathed. She loved gaiety, laughter, and wit. Her vanity remained even to old age, the vanity of a coquette.It was no wonder that statesmen whom she outwitted held Elizabeth I almost to the last to be little more than a frivolous woman. But the Elizabeth whom they saw was far from being all of Elizabeth. The willfulness of Henry and the triviality of Ann played over the surface of a nature as hard as steel, a purely intellectual temperament. Her vanity and caprice had no weight whatever with her in state affairs. The coquette of the presence-chamber became the coolest and hardest of politicians at the council-board. It was this part which gave her her marked superiority over the statesmen of her time. No nobler group of ministers ever gathered round the council-board than those of Elizabeth. But she was the instrument of none. She listened, she weighed, she used or put by the counsels of each in turn, but her policy, as a whole, was she own. It was a policy of good sense, not genius. She endeavored to keep her throne, keep England out of war, and restore civil and religious order.1. The author would probably describe Elizabeth as(A) complex and calculating(B) reticent and self-effacing (c)tyrannical and imperious(D) ruthless and dangerous(E) visionary and quixotic2.According to the passage, the statesmen who advised Elizabeth(A) were concerned mainly with their own political ambitions(B) underestimated her ability as a leader(C) were jealous of her intellectual superiority(D) dictated the policies of her government(E) were members of the Tudor royal family3.The author's attitude toward Elizabeth might best be describedas(A) critical and judgmental(B) detached and scholarly(C) sympathetic and admiring(D) ironic and amused(E) condemnatory and harsh4. The author's main purpose is to(A) describe an interesting personality(B) discuss the events of a historical period(C) criticize the policies of a political leader(D) illustrate the shortcomings of an absolute monarchy(E) provide a family history What is the theme of "Ellis Island" ? 3 reasons why Columbus made voyages to the West Indies. When shopping for margarine what information should you look for on the label in a school there are 542 girls and boys. how many pupils are there in that school? Which type of diets should be prescribed by the dietician to your cousin who is suffering from diabetes and kidney problem respectivelya. Low fibre and High protein dietb. Low fibre and low fluid dietc. High fibre and regular dietd. High fibre and low protein dietchoose the crrct answer....pls answer.... : ) Read the sentences.Darlas aunt gave her a book, and her uncle gave her a baseball glove. She loved them both.Which answer choice best corrects the vague pronoun in these sentences? A. Darlas aunt and uncle gave her a book and a baseball glove. She loved them both. B. A book from her aunt and a baseball glove from her uncle were both lovely presents for Darla. C. Darlas aunt gave her a book, and her uncle gave her a baseball glove. Darla loved both presents. D. Darlas aunt gave Darla a book, and Darlas uncle gave Darla a baseball glove.Darla loved them both. Solve for g. Make sure to use scrap paper to show your work.( 144 + 6 x 8 ) 3 = g1926448NO NOT PUT THIS IN A FILE Help help help help Read these lines from "Sea Rose" by H.D. more precious than a wet rose single on stem you are caught in the drift What is the meaning of you are caught in the drift"? THE BOOK IS CALLED, " THE RED-HEADED LEAGUE"What does the conclusion of The Red-Headed League teach readers about truth and consequences? Please write one fully developed paragraph (at least 4-5 sentences). Be sure to give details from the story (without looking at the text or notes) to support your answer. 2.How does Ulysses exhibit good leadership skills in this passage? What traits do you thinkare necessary for a leader to possess? Cite evidence from this text, your own experience,and other literature, art, or history in your answer. Which of these is a balanced chemical equation? The cost of a bag of fruits is proportional to the number of pounds. The cost for 1 pound of fruit is $6.54. How much does a pound of fruits cost? Write an equation based on your answer. PLEASEEEE HELP FOR BRAINLIST!!!!!!!!! how old was zechariah when john the baptist was born