What is the nature of the roots of the quadratic equation 4x² 4 √ 3x 3 0?

Answers

Answer 1

The roots of the quadratic equation 4x² + 4√3x - 3 = 0 are two distinct imaginary roots.

To find the roots of a quadratic equation, we have to use the quadratic formula. The formula is x = [-b ± √(b² - 4ac)]/2a. In this case, a = 4, b = 4√3, and c = -3. Plugging in the values, we get x = [-4√3 ± √(4√3² - 4*4*(-3))]/8. Simplifying and solving, we get x = [-2i ± √12]/4. Since both solutions contain an imaginary component, this means that the roots of the equation are two distinct imaginary roots.

x = [-4√3 ± √(4√3² - 4*4*(-3))]/8

x = [-4√3 ± √(48)]/8

x = [-2i ± √12]/4

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4


Related Questions

find the square rootV 196​

Answers

Answer:

The answer is 14

Step-by-step explanation:

The square root 196

√196 = 14

Thus, The answer is 14

-TheUnknownScientist

Help Please I put 70 pts on this
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:


Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

Answers

Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

 B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

Step-by-step explanation:

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.

__

B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...

 (f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

_____

* If we take the peak profit to be $270, we can write f(x) as ...

 f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.

Step-by-step explanation:

A) Intercepts zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Profit is increasing with price for x < 4, and is decreasing with price for x > 4.

B) The value of f(1) from the graph to be about 120, so the average rate of change is about.

(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

If we take the peak profit to be $270, we can write f(x) as:

f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change are 50.625. For the purpose here, we judge the extra precision to be pointless.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ5

what is the slope of the graph in the picture?

Answers

The slope is (2,4)
Seeing how it’s a positive line and you can’t see the other numbers but you can see that it’s going up by 2 every time

Answer:

slope is 2

Step-by-step explanation:

Pick any two points

say point (0,0) and point (2, 4)

to find slope, subtract the x and y coordinates as a fraction.

y on the top, x on the bottom

y/x = (4 -0)/ (2-0) = 4/2 = 2

the diagram shows a part of a regular 10 sided polygon
work out the size of the angle marked x

Answers

Answer:

b

Step-by-step explanation:

b

What is the length of the missing leg? help me pleaseee die in 5 mins

Answers

Answer:

A is 21!!

Step-by-step explanation:

Brainliest Please!

Describe the translation below using words and then write a rule for it.

Answers

The transformation of the figure is a translation. The original figure moves over 2 squares, then down once. The rule would be (x-2, y-1)

I’m pretty sure the answer is correct but my wording may not be so good :|

Samantha and Luis are attempting to dentermine the average number of library books that seventh-grade students check out at one time. Samantha surveys every other seventh grade students

Answers

Answer: Your question is incomplete

But if the attached image is the complete question “whose sample is the most random”, then your answer is:

Luis’ sample.

Step-by-step explanation:

A random sample is one where each member is selected at random.

It is the kind of sampling where each member has an equal chance of being selected.

Samantha and Luis are trying to determine the number of library books that seventh graders check out. Their focus is;

1.) Seventh graders and

2.) Library books

Samantha surveys seventh graders leaving the library while Luis surveys seventh graders at random in the school cafeteria.

Samantha’s survey is more focused because each member of her sample was leaving the library meaning that they had handled books.

But Luis’ sample is more random because he takes his survey from all seventh graders (seventh graders in the cafeteria). With his random sampling, there is a high probability that each member never handled library books.

PLEASEPLEASE ANSWER

and if i get any more bots answering with links im gonna cry ive put this question 5 times

Answers

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

~

pls help quick what is 1/8+2/5

Answers

Answer:

21/40

Step-by-step explanation: here is a calculator to help you with fractions: https://www.calculatorsoup.com/calculators/math/mixednumbers.php

21/40 that’s the answer

A city has a population of 340, 000 people. Suppose that each year the population grows by 3.75%. What will the population be after 10 years ? Use the calculator provided and round your answer to the nearest whole number.

Answers

Answer:

491,315.

Step-by-step explanation:

Population in 10 years = 340000(1.0375)^10

= 491,315.

Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from
the bank with an annual percentage rate (APR) of 3.8%. She is financing it over 30
years and making monthly payments. What is the monthly payment?

Answers

ms. morrison would have to pay $698.94 monthly for the next 30 years

Write the equation of the line that passes through the points (3, 4) and (5, 8)

Answers

Answer:

y=2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-4)/(5-3)

m=4/2

m=2

y-y1=m(x-x1)

y-4=2(x-3)

y=2x-6+4

y=2x-2

Hey can someone tell me what -3x^2(14x^2-2x-8) equals

Answers

Answer:

-42x^4 + 6x^3 + 24x^2

Step-by-step explanation:

A company is going to make a storage container with sheet steel walls The container will be in the shape of a rectangular prism If the sheet steel costs 30 for each square meter how much will the sheet cost it total The sides are 7m 3m and 3m

Answers

Answer:

3060

Step-by-step explanation:

First we need to calculate the total surface area of the prism

TSA  = 2(lw+wh+lh)

l is the length of the prism

w is the width of the prism

h is the height of the prism

Let

L = 7m

W = 3m

H = 3m

Substitute

TSA = 2(7(3)+3(3)+7(3))

TSA = 2(21+9+21)

TSA = 2(30+21)

TSA  = 2(51)

TSA  = 102m²

Hence the total surface area of the prism is 102m²

Since sheet steel costs 30 for each square meter, then;

1m² = 30

102m² = x

Cross multiply

x = 30*102

x = 3060

Hence the sheet with the dimension will cost 3060

help please!!!
Find the value of x.
13
13
X!
24

Answers

Answer:

x = 5 units

Step-by-step explanation:

since it is an isosceles triangle, the perpendicular "x" bisects the base (24) into two units of 12.

using the Pythagorean theorem:

x² = 13² - 12² = 169 - 144 = 25

x = √25 = 5

A 23.7-foot tall flagpole casts a 42-foot shadow. What is the angle that the sun hits the flagpole? Express your answer in DMS

Answers

Answer:

60.6°

Step-by-step explanation:

Using trigonometry :

Opposite = Height of shadow = 42 feets

Adjacent = height of flagpole = 23.7 feets

Tan θ = opposite / Adjacent

Tan θ = height of shadow / height of flagpole

Tan θ = 42 / 23.7

Tan θ = 1.7721518

θ = tan^-1(1.7721518)

θ = 60.56

θ = 60.6°

what is the awnser to 65.9- 45.902=

Answers

Answer:

19.998? or is there something else to it

Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.


Answers

Answer:

x = 2, y = -1

Step-by-step explanation:

Assuming it should be y not g

y = -2x + 3

-2y = -6x + 14

y = 3x - 7

-2x + 3 = 3x - 7

10 = 5x

x = 2

y = -1

A box contains four equal-sized cards labeled 1 , 3, 5, and 7. Tim will select one card from the box. What is the probability that Tim will select a card labeled 3?

Answers

Answer: 1/4

Step-by-step explanation:

Since the box box contains four equal-sized cards labeled 1 , 3, 5, and 7. The probability of selecting any number out of the four numbers will be 1/4 if they are selected once.

If Tim selects one card from the box, the probability that Tim will select a card labeled 3 will be: = 1/4

This is because 3 only occurs once and there are 4 numbers in total.

What is the slope of the line below?
The image is a graph of an x-axis and a y-axis. A line is drawn which passes through the points (2,3) and (-2,-7).

A. 5
B. 0.2 or 15
C. 2.5 or 52
D. 0.4 or 25

Answers

Answer:

The awnser is C. but please know I may be wrong

Step-by-step explanation:

C is the correct answer I think

For each triangle find the value of x

Answers

Answer:

x = 20

Step-by-step explanation:

The sum of the angles in a triangle is 180. A right triangle has one angle of 90. Thus, the sum of the other two angles will be 90. So, 90+31 = 121 and 180-121 = 59. (3x-1) = 59. Solve for x. This would mean that x would be 20. 3*20 = 60 and 60-1 = 59. All the angles add together would get 180: 59+90+31.

find the quotient 12/15÷6/11​

Answers

Answer:

.8

Step-by-step explanation:

The measure of ∠ABD is (0.18x+56)° and the measure of ∠CBD is (0.07x+46)°. Find the value of x.

Answers

Answer:

x = 312

Step-by-step explanation:

We know that ∠ABD and ∠CBD are supplementary, meaning their measures add up to 180°. We can use this knowledge to put both measures into an equation.

[tex](0.18x+56) + (0.07x+46)= 180[/tex]

Simplify.

[tex]0.18x+56 + 0.07x+46= 180[/tex]

Simplify.

[tex]0.25x + 102 = 180[/tex]

Subtract 102.

[tex]0.25x = 180 - 102[/tex]

Simplify.

[tex]0.25x = 78[/tex]

Divide by 0.25

[tex]x = \frac{78}{0.25}[/tex]

Simplify.

[tex]x = 312[/tex]

What's the x plz help

Answers

Answer:

The answer for x is ten

What are the degree and leading coefficient of the polynomial?

Answers

Answer:

Degree: 9

Coefficient: -1

Step-by-step explanation:

The degree of a polynomial is equivalent to the highest degree of all its terms.

The term with the highest degree in this polynomial is y^9

what that person said ya

PLS help with this immediately no links or guesses

Answers

Answer:

B all real numbers greater than 0

Which expression can be used to find measure angle R

Answers

Answer:

cos-1(-4/14)

Step-by-step explanation:

If

4.5=r

3.5=s

2=t

By law of cosines:

[tex]r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )[/tex]

Katia is baking. She uses 2 ⅛ cups of sugar for cookies and 1 ⅗ cups of sugar for a cake. How much total sugar did Katia use?

Answers

Answer:

3.725

Step-by-step explanation:

because you add 2.125 (2 1/8) and 1.6 (1 3/5) to get 3.725

which inequality is true?

Answers

I’m not sure but I really think is A but ion kno if I’m wrong

Complete the proof.
Given:
AB∙BP=CB∙BM
Prove: ∆CBA~∆PBM

Answers

Answer:

Step-by-step explanation:

5. Give in the question.

6. AB/CB = BM/BP (Not sure about the rule, you can find it on textbook I guess)

7. CBA = PBM

8. Conclusion

Other Questions
WHAT IS THE SURFACE AREA DUE BY FIVE PM WITH STEPS PLZ I WILL GIVE BRAINLIEST ANSWERS A block of wood measures 5.5 inches by 3.5 inches by 9 inches. What is the volume of the block of wood The distance between two towns is 7km on a map, the distance between the towns is 28cm. Find as a ratio, the scale of the map? Read the excerpt from Roll of Thunder, Hear My Cry.Ah, man, leave me be! All y'all Logans think y'all so doggone much with y'all's new coats and books and shiny new Packards!" He swirled around, glaring down at Christopher-John, Little Man, and me. "I'm sick of all y'all. Your mama and your papa, too!" Then he turned and fled angrily up the road.Which sentence or phrase gives the reader a clue to the storys time period?. . . glaring down at Christopher-John, Little Man, and me.Then he turned and fled angrily up the road.Ah, man, leave me be!. . . y'all's new coats and books and shiny new Packards! Which narrative element does each phrase support? Choose from the drop-down menus.was once rarely lets himself admit fear The Train of Death What purpose does the authors use of these phrases and techniques support? What body parts work together to form the digestive system? PLEASE HELP!! i am struggling so badly on this concept- please help, be serious and no links or incorrect answers please. if explained ill be giving bonus points and thanks to all of your answers and a BRAINLEST!! Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50.How many books will Holly and Ethan need to sell to make a profit of exactly $30? What is the length of XY ? Please answer correctly !!!!!Will mark Brianliest !!!!!!!!!!!! Which was an advantage held by the South over the North at the start of the Civil War?Question 4 options:It had far more extensive network of railroads and telegraph linesIt had an industrial economy with limitless immigrant labor to produce weapons.Its population of enslaved people were willing to fight to preserve the plantation system.Its soldiers and generals believed they were protecting their homes and way of life. what purpose do conjunctions serve in a sentence? 15Decide whether each expression simplifies to a number less than-1, greater than 1, orNeitherneither. Mark an X in the correct column for each expression.Greater than 1Less than -1Expression-7+ (-4)-(3 2)(-5) (-3)(-9) - 6 Qu nmero NO pertenece al conjunto de los nmeros racionales ? A) -3,4 3,2764...B)1,9999999... C)0 D)1/6 Help me I beg u! The pre-image coordinates of a triangle are J(-6,9), K(-6,4), and L(-3,4). The coordinates of the transformed triangle are J'(2,9), K'(2,4), and L'(5,4). What transformation has occurred? A. translation B. reflection C. dilation D. rotation Reset Next Question How many grams of Mn are there in 5.09 moles of Mn? grams i need step by step answers Convert the equation to Standard Form.y=2(x+1)^(2) 4 What was the one thing that was NOT true of Wilson's Fourteen Points?gave Allied soldiers goals to defenddropped behind enemy linesbecame a major part of the peace treatymade German surrender easier At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation: YZ Company is rethinking the way it ships to its 62 customers in another city 220 miles away.Current Shipping/Delivery MethodThey currently hire an LTL (less-than-truckload) carrier to pick up and deliver these shipments. Each customer order shipped via LTL carrier costs $147.Alternate Shipping/Delivery MethodA 3PL (third-party logistics provider) has approached XYZ Company and suggested that they make full truckload (TL) shipments from their facility to the 3PL's warehouse in the customers' city. The 3PL would then break the bulk shipment (TL or truckload shipment) into individual customer orders to be shipped locally by an LTL carrier. The relative data for this alternate shipping method are as follows:Full TL shipment cost (220 miles) = $675Average order weight = 750 lbs.Warehouse break-bulk fee (per 100 lbs., a.k.a. per "hundred weight") = $13Local LTL delivery fee = $361. What is the total cost of delivering to all customers via LTL carrier (current methodR=_______.2. How much money would XYZ company save by using the alternate shipping/delivery method?R=______.3. At what number of customers would the cost of these two methods be the same?R=______. PLEASE HELP!! NO SCAM LINKS