What is the nature of the roots of the quadratic equation √ 3x² 10x 7 √ 3 0?

Answers

Answer 1

The nature of the roots of a given quadratic equation √3x²+10x+7√3=0 is real and distinct because of the value of b²-4ac>0.

where a, b, and c are the coefficients in the standard form of the quadratic equation ax²+bx+c=0

Given quadratic equation is  √3x²+10x+7√3=0   on comparing with the standard form of a quadratic equation ax²+bx+c=0. Hence a=√3,b=10,

and c=7√3

Now  b²-4ac=10²-4×√3×7√3=100-28×3=16>0.

here the value of b²-4ac is greater than 0.

We know if the value of b²-4ac then the roots of the given equations are real and distinct.

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Related Questions

Which of the following is equivalent to the expression below?

Answers

Answer:

C is the answer

Step-by-step explanation:

I need help with some scientific notation problems

Answers

Answer:

1) 4.5 x 10^3 =4,500

2)5.78 x 10^-2

3) 5.7 x 10^1 = 57

4) 6.256 x 10^-3 = 0.006256

5) 7.3 x 10^2 = 730

6) 4.2 x 10^-5 = 0.000042

7) 7x10^-3 = 0.007

8) 2.563 x 10^1

9) 3.0025 x 10^2 = 300.25

10) 1.456 x 10^-1

75250 tickets were available for an international cricket match. 62% of the tickets were sold
within a day. How many tickets are left?​

Answers

Answer:

46655

Step-by-step explanation:

[tex]75250 \cdot \frac{62}{100} = 46655[/tex]

the following question statistical? Explain. How do shoppers in a town pay for their groceries? Choose the correct answer below. A. Yes , it is statistical . More than one response is possible . B. No , it is not statistical . Only one response is possible . C. Yes , it is statistical . Only one response is possible . D. No, it is not statistical. More than one response is possible .

Answers

Answer:

A grocery store is interested in how much money, on average, their customers spend each visit in the produce department. Using their store records, they draw a sample of 1,000 visits ...

Yes , it is statistical. More than one response is possible .

What is statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, and presentation of large amounts of data. It involves the use of data to make decisions and predictions based on probability and uncertainty. Statistics is used in a wide range of fields, from medicine and social sciences to business and engineering.

This question is asking for a statistical response because it is seeking information about the ways in which shoppers in a town pay for their groceries. The answer can vary from person to person, so there are multiple possible responses, making it a statistical question.

Therefore, option C is the correct answer.

Learn more about the statistical data here:

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There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answers

Complete question :

There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answer:

1 /9

Step-by-step explanation:

Capacity of container = 3 gallons

Amount of gallons in container = 1/3 gallon.

Fraction of water in container:

Division equation :

Amount of gallon in container / capacity of container

1 /3 ÷ 3 = 1/ 9

Multiplication equation :

1/3 of 1 gallon

Capacity of container = 3 gallons

1/ 3 * inverse of 3

1/3 * 1/3 = 1/9

Find the surface area

Answers

Answer:

100

Step-by-step explanation:

i think

It is the cubicle shape

Therefore, 6l² is the formula to find surface area of cube

Area of cube = 6(10)²

Therefore, 6*100

Therefore, 600

Area of cube =600ft²

X-9/2=12
X=?
Find what does x equal to.

Answers

Answer:

x = 33

Step-by-step explanation:

cross-multiply:

x-9 = 2(12)

x-9 = 24

x = 33

Answer:

The answer is 33.

Step-by-step explanation:

1) Multiply both sides by 2.

[tex]x - 9 = 12 \times 2[/tex]

2) Simplify 12 × 2 to 24.

[tex]x - 9 = 24[/tex]

3) Add 9 to both sides.

[tex]x = 24 + 9[/tex]

4) Simplify 24 + 9 to 33.

[tex]x = 33[/tex]

Hence, the answer is 33.

Solve for x! , Please answer!!
If you can please show the explanation <3
Have a good day!

Answers

Answer:

Value of x = -7

Step-by-step explanation:

Given:

First angle = 83°

Second angle = 24°

Third angle = (38 - 5x)°

Find:

Value of x

Computation:

We know that sum of all interior angle in triangle is 180°

So,

83 + 24 + 38 - 5x = 180

145 - 5x = 180

-5x = 35

x =  -7

Value of x = -7

Can somebody please help me with multiplying fractions and it would be really helpful to show examples

Answers

Try looking up the butterfly method! You basically multiply denominator with the numerator for both sides - I can’t explain too well but I think a video would be best to understand

Step-by-step explanation:

hey, hope this helps. :)

Find the cardinal number of the indicated set. Use the cardinal number formula.
F4) If n(A) - 10, n(
AB) = 28, and n(AB) = 6, find n(B).
A) 24
B) 18
C) 25
D) 23
Find the cardinal number

Answers

Answer is D.) 23 hope I could help;) tjrjdfjfjfnf f f find zo d d
Dkixkckckcmcxnxmxmxmd

Classify the graph.
A?
B?
C?
D?

Answers

Answer:

linear

Step-by-step explanation:

you can tell its linear bc its in a straight line

hope this helps <3

A cell phone company charges a one-time activation fee, as well as a monthly service charge for a cell phone plan with unlimited minutes and data. The total cost is modeled by the function C(x) = 99 + 85x. Which statement represents the meaning of the function?

Answers

Answer:

C(x) is the total cost, x is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.

Step-by-step explanation:

Because I'm always right.

The diameter from the outer edge of the rubber of my old tires to the center of the tire is 76cm (30inches). What is the circumference of the tires?

Answers

Answer:

The circumference of the tires is of 94.25 inches.

Step-by-step explanation:

Circumference of a circle:

The circumference of a circle, with radius measuring r, is given by:

[tex]C = 2\pi r[/tex]

In which the radius is half the diameter.

In this question:

Diameter of 30 inches, so the radius is 30/2 = 15 inches.

The circumference is:

[tex]C = 2\pi (15) = 30\pi = 94.25[/tex]

The circumference of the tires is of 94.25 inches.

WHAT IS A EQUATION PLEASE HELP!

Answers

Answer: 1.5s+20

Step-by-step explanation:

Write an equation of the line that passes through the points (-2,-7) and (0,-4). ​

Answers

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) point - slope form of a line.

y = mx + b slope- intercept form of a line.

~~~~~~~~~~~~~~~~~

( - 2, - 7 )

( 0, - 4 )

m = [tex]\frac{- 4 - (-7)}{0 - (- 2)}[/tex] = [tex]\frac{3}{2}[/tex]

y - ( - 4 ) = [tex]\frac{3}{2}[/tex] ( x - 0 )

y + 4 = [tex]\frac{3}{2}[/tex] x

y = [tex]\frac{3}{2}[/tex] x - 4 slope- intercept form

3x - 2y = 8 standard form

Based on the scatter plot, what type of association is shown between hours of sleep and test scores?

A: Positive Association

B: Negative Association

C: No Association

Answers

This is easily (A) Positive Association

The weight limit for suitcase is 23 kg. You want to make sure that you will not be charged baggage fees on your flight back. What is the weight limit in pounds? 1 kg = 2.2 pounds.

Answers

Answer:

33lbs

Step-by-step explanation:

May someone please help me with this :)

Answers

Answer:

i was taught this but i dont remember so I dont know if I can help sorry bud

PPPPPPPPPPPPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP I NEED ALL 3 QUESTIONS ANSWERED

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The image is blank for me

PLEASE HELP FOR MATH!!!!

Answers

345 I think if it’s wrong I’m sorry

230 Just add and divide

A blade of a windmill completes 1 rotation every 4 seconds. The outer end of the blade travels 600 feet in 1 rotation. What is the speed of the outer end of the blade in feet per minute?

NEED ANSWERS ASAP

Answers

Answer:

900 feet per minute

Step by step solution:

I did 60÷4 then it is 15 so 600*15 is 9000

Hope i am right...

Classify the polynomial by degree and number of terms.
-2x² + x4 +3
constant
linear
quadratic
cubic
quartic
monomial
binomial
trinomial

Answers

Answer:

linear

Step-by-step explanation:

Answer: its a trinomial

Step-by-step explanation:

The area of a square is a function of the length of the side of the square.

Answers

Answer: A =a2

Step-by-step explanation:

please help!!!!



polygon MNOPQ is dilated by a scale factor of 5.4 with point M as the center of dilation to form the image M’N’O’P’Q’. compare NO and N’O’. N’O’ ____ through point M. the slopes of N’O’ and NO are ____



the first blank answer choices are: passes, or does not pass

the second blank answer choices are: the same, or different

Answers

Right I needed help on this

What is the slope of y = -x + 7?

Answers

Answer:

The slope is -1

Step-by-step explanation:

The slope is always the number in front of the x.

HELP WITH THESE QUESTIONS ILL GIVE OUT BRAINLEST

Answers

Answer:

#3 is b

#4 is also b

Step-by-step explanation:

omg I need help w all the questions lol someone pls help me. If u can message me and tell me or help me w the answers

Answers

What’s the height?
Formula is: V= πr2h
d=4 in
r=2 in
V= π•2^2•h
V= π•4•h
If h is 3, answer is B. If h is 9, answer is C. Good luck.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

1st one is a function, 2nd is a funtion, 3rd is a function, 4th is not a function, 5th is not a function, 6 is a function

Step-by-step explanation:

Hope it helps :) You can see if a graph is a function by performing the vertical line test.

A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If we start observing the piston at its maximal height, find an equation modelling the height, h, t seconds from the initial observation.

Answers

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots. Which statement is true regarding these data sets?

Answers

Answer:

C lul

Step-by-step explanation:

https://brainly.com/question/22583943

(The majority of the members in each club are between 15 and 17 years old.)

C lol lol I need points I’m so sorry
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