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

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Related Questions

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

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.

PLS help with this immediately no links or guesses

Answers

Answer:

B all real numbers greater than 0

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

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

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

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.

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.

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:

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

what is the awnser to 65.9- 45.902=

Answers

Answer:

19.998? or is there something else to it

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

find the quotient 12/15÷6/11​

Answers

Answer:

.8

Step-by-step explanation:

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 :|

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!

which inequality is true?

Answers

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

What's the x plz help

Answers

Answer:

The answer for x is ten

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]

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.

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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

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

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

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

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

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°

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

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]

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.

~

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

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.

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