How many roots does the equation 3x² = 1 - 7x have and what is the nature of the roots

Answers

Answer 1

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form:  3x^2 + 7x - 1.

The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or

7^2 - 4(3)(-1), or 49 + 12, or 61.  Because the discriminant is positive, this quadratic has two real, unequal roots


Related Questions

What is the best description of a food chain?
the competition among several species for the same food item
the transfer of energy from one organism to another

Answers

Answer:

the transfer of energy from one organism to another

Step-by-step explanation:

Can anyone help with this question geometry

Answers

Answer:

The answer would have to be shown in your working out, so look down below for an explanation.

Step-by-step explanation:

You would make each equation with the same letter equal to each other

5x- 10= 7x-20

3y= 5y-16

Then you would solve the equations

5x-10 = 7x-20

+20        +20

5x +10= 7x

-5x        -5x

10= 2x

x= 5

-

3y = 5y-16

+16      +16

3y+16=5y

-3y       -3y

16 = 2y

y = 8

And there's  how you would prove that x=5 and y=8

The USA Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point
C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?

Select the correct answer chorice below.
(x _ _)^2 _ (y_ _)^2 = _

Answers

[tex]\left(x-2\right)^{2}+\left(y-4\right)^{2}=25[/tex]

Hope this helps!

The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]

Equation of circle:

The equation of circle is given as,

                 [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

Where [tex](h,k)[/tex] is the coordinate of center and r is radius.

From the given figure,

It is observed that, the center of circular pool is (2, 4)

and radius is 5.

substitute the value of center and radius in above equation.

                  [tex](x-2)^{2}+(y-4)^{2} =5^{2}\\\\(x-2)^{2}+(y-4)^{2} =25[/tex]  

The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]

Learn more about the equation of circle here:

https://brainly.com/question/1506955

How are youaefljsofjsnjvlsdnbvjklxfclkjmzlv

Answers

GOOD BUT ANYONE WANT TO HELP ME WITH MY HISTORY BEFORE I FAIL

2) Check to see if x = 2 is the solution to this equation Explain your
reasoning with words and work. Be clear and completel
- 4x - 12 = 2x -8

Answers

x=2 is not the answer because when substituting 2 for x in both problems the answers are different.
-4(2)-12=-20
2(2)-8=-4
-20 does nothing equal to -4 which means x=2 is invalid

If a population of 10,000 increases by 5% every year, how large will the population be in 5 years?

______________________________​

Answers

Answer:

10.500

Step-by-step explanation:

step by step explenation

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

F(x)=h(x)-8

I think

Step-by-step explanation:

a box in mrs booths class contains 200 loose white or yellow golf balls

Answers

Answer:

Dot Plot

Step-by-step explanation:

Cool
Is there a question? Like a second part? Or a dot plot orrr a graph?

OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-

Answers

Answer:

it would be $1800

Step-by-step explanation:

if each hoop costs $600, and they buy 3, 600 x 3 = 1800

Answer:

1800

Step-by-step explanation:

600 * 3 = 1800

Andrea constructed a triangle. Angle 1 and 3 are the same size and angle 2 has a measurement of 70 degrees. What is the measurement of angle 1 and 3

Answers

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of all angles of a triangle is 180°.

m∠1 + m∠2 + m∠3 = 180°

(m∠1 + m∠3) + m∠2 = 180°

2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]

2(m∠1) = 110°

m∠1 = 55°

Therefore, m∠1 = m∠3 = 55°

Does anyone know this one?

Answers

Answer:

-3

Step-by-step explanation:

(-5) - (-2) = (-3)

hope it helps

Answer:

there is a three degree difference between san Diego and Los Angeles

Mark hopes to one day earn $10,000. Estimate how
many clients Mark would need.

Answers

What is his average amount of money that he earns per day so then we can solve this problem.

Please Help. What expression is equivalent to 6( t - 5 ) + 3
A. 6t - 2
B. 6t - 12
C. 3 ( 2t - 11 )
D. 3 ( 2t + 9 )

Answers

I believe the answer is D. 3(2t+9)

Explanation: The simplified version of 6(t-5)+3 is 6t+27, and D gives us the same answer.

What is equivalent to 8?
A:2^3
B:3^-2
C:2^-3
D:3^2

Answers

2^3 is equivalent to 8.

Answer:   A:2^3

Step-by-step explanation:

8=2*2*2=(2)^3

identify the pattern then write the next three terms in each sequence 2,8,32,128​

Answers

Step-by-step explanation:

the difference is the previous term multiplied by 4 to get the next term

2,8,32,128,512,2048,8192

Hope that helps :)

Part C Calculate the perimeter of ABC by adding the side lengths. Show your work.

Answers

Answer:

What is the lenght and the other things?

Step-by-step explanation:

Brainliest?

Answer:

see photo

Step-by-step explanation:

Factor 9z^2 - 6x +1.
pls will mark you brainiest

Answers

Answer:

It is not factorable

Step-by-step explanation:

The expression is not factorable with rational numbers.

Answer:

This is not factorable.

Step-by-step explanation:

This is not factorable.

which is the next leap year after to 2017​

Answers

Answer:

2020

Step-by-step explanation:

Answer:

2020  i think i hope it is the right answer for you

The table below shows the score
Analisa and Luke earned on four science
projects.
Science Project Scores
Project Analisa Luke
95 90
2
81 84
3
76 95
4
88 91
5
2
?
Analisa and Luke worked on a fifth
science project together. They each
carned the same score on the project.
When the fifth score is included in the
table, Analisa's mean score does not
change
Which of the following statements
describes how Luke's mean score
changes when the fifth score is included
in the table?

Answers

Answer:

It increases by 2.5

Step-by-step explanation:

yeah

Which of the following points lie on the graph of y=x^2-2x+6

Answers

Answer:

Did this help?

Step-by-step explanation:

CAN SOMEONE HELP PLS :D will mark brainliest ;)

Answers

Answer: the second one/ \/36/6

Step-by-step explanation:

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold Thin crust 312 Thick crust 245 Stuffed crust 179 Pan style 304

Answers

Question:

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust          312

Thick crust          245

Stuffed crust          179

Pan style                  304

Based on this information, of the next  4500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

1060 thick crusts

Step-by-step explanation:

Given

The above table

Required

Expected number of thick crust for the next 4500

For last week data, calculate the proportion of thick crust sold

[tex]\hat p = \frac{Thick\ crust}{Total}[/tex]

[tex]\hat p = \frac{245}{312+245+179+304}[/tex]

[tex]\hat p = \frac{245}{1040}[/tex]

[tex]\hat p = 0.235577[/tex]

For the next 4500;

[tex]n = 4500[/tex]

The expected number of thick crust is (E(x)):

[tex]E(x) = \hat p * n[/tex]

[tex]E(x) = 0.235577 * 4500[/tex]

[tex]E(x) = 1060.0965[/tex]

[tex]E(x) \approx 1060[/tex]

What is the solution to the system of equations graphed below?

a. (2,-3)
b. (-3,2)
c. (-2,3)
d. (3,-2

plz help i’m in a timed test

Answers

Answer:

I believe it is (2, -3)

Explanation:

Because that’s where both lines cross, don’t quote me on this though.

What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?

Answers

Add 4.5

---

hope it helps

Answer: add 4.5 to both sides

Step-by-step explanation: this will allow the 4.5 to be removed from the y side and since you added it to one side you have to add it to the other side. This will give your y the value of 16.7.

Brainliest plz

What is the theoretical probability of rolling anything other than a two on a fair six sided die?

Answers

Answer:

5/6 probability

Step-by-step explanation:

It is 1/2 mile from the students home to a store and back. In a week, she walked to the store and back home 1 time. In the same week, she rode her bike to the store and back 3 times. How many miles did she walk and ride to the store and back in that week?

Answers

Answer:

2

Step-by-step explanation:

So you will get the 1/2 and see how many times she does go back and forth and she did it 4 times so you would multiply 1/2 x 4 and get a total of 2

Hope It Helps

Answer:

2

Step-by-step explanation:

she walked to the store and back 1 time=1/2 mile :

from her house to the store=1/4 mile

she rode her bike to the store and back 3 times

So in total that week she went to the store and back 4 times

so 4 times 1/2 is 2

What is the percent of change? Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease. $99 to $74

Answers

Answer:
The percent of change is -25.25252525 repeating percent, and it is a decrease

Explanation:
Where: 99 is the old value and 74 is the new value. In this case we have a negative change (decrease) of -25.25252525 percent because the new value is smaller than the old value.

Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.

Answers

Points form:
(3.2)
Equation form:
X
x=3,y=2

Amad collected 42 plates in February for a project he plans to make. He had collected a total of 91 plates by the end of March. Which equation can be used to find the number of plates Amad collected in March? A. 42 * p = 91 b. P - 91 = 42 c. 91 / p = 42 d. P + 42 = 91

Answers

Answer:

Option D: P + 42 = 91

Step-by-step explanation:

Plates collected in February = 42

Total Plates collected = 91

Plates in February + Plates in March = total plates

42 + P = 91 or

P + 42 = 91

These numbers tell how many books five different students read in the past six months. 8, 11, 15, 22, and 6 a) Create a different set of five pieces of data with a greater mean, but with at least two values less than the values in the set of data above. b) Create a different set of five pieces of data with a lower mean, but with at least two values greater than the values in the set of data above. How did you make it work? c) Create a different set of five pieces of data with a lower mean, but with a higher median than the original set.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Origibal data set

8, 11, 15, 22, 6

Rearranging The value :

x : 6, 8, 11, 15,22

Mean = Σx / n

n = sample size =5

Mean = (6+8+11+15+22) = 62

Mean = 62 / 5 = 12.4

Median = 1/2(n+1)th term

Median = 1/2(6)th term = 6/2 = 3rd term = 11

A.)

X = 4, 5, 15, 23, 19

MEAN = (4 +5 + 15 + 23 + 19) / 5 = 13.2

B.)

X = 2, 6, 5, 23, 34

Mean = (2+6+5+23+24) / 5

Mean = 60 / 2 = 12

C.)

X = 3, 7, 12, 21, 13

X = 3, 7, 12, 13, 21

Mean = (3+7+12+13+21) /5 = 11.2

Median = 1/2(6)th term = 6/2 = 3rd term = 12

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What are some examples of strict and loose construction? Choose The Correct Verb Form To Complete Each Sentence.The Verbs: Voy, Vas, Va, Vamos, VanYo ___ y l ___ tambin. Pero no ___ juntos. l ___ a pie y yo ___ en el bus. Pero, adnde ___ ustedes? Nosotros ___ a la escuela. ___ a la misma escuela. Es interesante. Ustedes ___ a la misma escuela pero uno ___ a pie y el otro ___ en el bus. Jos, por qu no ___ t a pie tambin? Eres perezoso? who influenced the unites states the most in the pacific and how ? Choose the answer with the correct missing numbers and the correct expression to describe the conversion.A. 400, 500, 600, M x 100B. 40, 50, 60, M x 10C. 4000, 5000, 6000, M x 1000D. 4000, 5000, 6000, M x 100 Can someone help me with this question. Need answer and explanation/work. Thank you. Will make brainliest. In the cay what is the distance between each group of notes is a half step (1/2) or a whole step (w) find the image of U'( -8 , 1) after a translation along < 2 , 0 > and a reflection in the x axisU"( -6 , -1)U"(6 , 1)U"(6 , -1)U"(-1 , 6) whats (6x10^3) / (3x10^2)express your answer in scientific notation 20 POINTS FOR ANSWERING ALL PARTS what is the scale factor in the dilation?PLEASE HURRY!!! Who took power in England during the Glorious Revolution?King James 11William of OrangeJean-Jacques RousseauBaron de Montesquieu Which is the solution to the equationbelow?-3=t- 12A-9C 9B 4D 15 Can anyone give me the answer key for this worksheet? there are 4 pagesHelp me pleasee evalute sin 60. cos 30 sin +sin 30 .cos 60 what is the value of sin(30-60) what can you conclude What enzyme deficiency in RBC leads to hemolytic anemia due to oxidative stress? Help me yall it due in a few minutes :((() WHAT IS THE PROBABILITY OF LANDING ON TAILS ON THE FIRST FLIP AND THEN TAILS AGAIN ON THE SECOND FLIP? Consider two perfectly negatively correlated risky securities, A and B. Security A has an expected rate of return of 12% and a standard deviation of return of 17%. B has an expected rate of return of 9% and a standard deviation of return of 14%. Required:a. What are the weights of A and B in the global minimum variance portfolio respectively?b. What is the rate of return on the risk-free portfolio that can be formed with the two securities ? what is the diameter ? Which statement about the figure below is true?