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 area of this quadrilateral?
4 ft
3 ft
10 ft
10 ft
31
4 ft

Answers

Answer:

42

Step-by-step explanation:

Answer:

42 square feet

Step-by-step explanation:

add all of the square feet together, including the sides parallel that don't tell you how many inches. What I mean by parallel is the sides across from it.

Graph the function f(x) = 2x. Which features are correctly stated?




A) x-intercept: none



B) y-intercept: (0, 2)



C) asymptote: x = 0



D) as x → ∞, f(x) → ∞



E) as x → −∞, f(x) → 0

Answers

Answer:

a, d, e

Step-by-step explanation:

on usatestprep

The features of the function are given as follows:

Horizontal asymptote: y = 5.

Vertical asymptote: x = 2.

x-intercept: No x-intercept.

y-intercept: (0,-5).

Hole: No holes.

What are the features of the function?

The horizontal asymptote is the limit of f(x) as x goes to infinity. To obtain this limit, we consider only the terms with the highest exponent of the numerator and of the denominator, hence:

here, we have,

g(x) = -5x/x -> y = 5 is the horizontal asymptote.

The vertical asymptote is the value of x for which the function is not defined, hence it is the zero of the denominator, thus:

x - 2 = 0 -> x = 2.

The x-intercept is the point (x,0), in which x is found when y = 0, hence:

-5x + 10 = 0

-5x = -10

5x = 10

x = 2.

However, the function is not defined at x = 2, meaning that it has no x-intercept.

The y-intercept is the value of y when x = 0, hence:

y = 10/-2 = -5.

The coordinates are (0,-5).

The entire function can be simplified as follows:

(-5x + 10)/(x - 2) = [-5(x - 2)]/(x - 2) = -5.

Meaning that the function has no holes.

More can be learned about functions at

brainly.com/question/24808124

#SPJ2

complete question:

Determine each feature of the graph of the given function.

f(x) = -5+10

2

Horizontal Asymptote: y =

Vertical Asymptote: x =

x-Intercept:

y-Intercept: (0,

Hole: (

,0)

No horizontal asymptote

No vertical asymptote

No x-intercept

No y-intercept

No hole

0
Tickets to a movie cost $9.00 for adults and $5.50 for students. There were 150 tickets purchased for a total of $1,105.00. The following system of
equations models the situation, where a is the number of adult tickets purchased and s is the number of student tickets purchased. Write the
terms with the variables in alphabetical order.
9a + 5.5s = 1.105
a +5 = 150
Rewrite the second equation in the system so that the variable for the number of adult tickets purchased can be eliminated by subtraction.

Answers

Answer:

150a

Step-by-step explanation:

what is the mx of a slope of -1 and a y-intercept of 4

Answers

y=-1x+4

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hope it helps

sorry I had no idea how to explain

Hugo wanted to reorganize his superhero figure collection. He split his collection evenly
among 3 shelves. When he was done, there were 12 figures on each shelf. How many
figures are in Hugo's collection?

Answers

Answer:

36

Step-by-step explanation:

3*12=36

martin has read ​20% of a book. He has 8 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

10 pages are in the page if im correct

Marissa bought 7 bottles of soda for a party. Each bottle was 2-liters. How many gallons of soda did she buy?

Answers

Answer

3.7 or approximately 4 gallons

Step-by-step explanation:

7x2=14 total liters.

3.78 liters=1 gallon

14/3.78= 3.7 gallons

Suppose you are interested in learning about how much time seventh grade students at your school spend outdoors on a typical school day. Select all the samples that are a part of the population you are interested in. a. The 20 students in a seventh grade math class. b. The first 20 students to arrive at school on a particular day. c. The seventh grade students participating in a science fair put on by the four middle schools in a school district. d. The 10 seventh graders on the school soccer team. e. The students on the school debate team.

Answers

Answer:

1. The 20 students in a seventh grade math class.

4. The 10 seventh graders on the school soccer team.

Step-by-step explanation:

I just submitted the form and these are the right answers :)

It might be not on time but still lol.

I AM SURE THOSE ARE RIGHT ANSWERS !!! :)))

The 20 students in a seventh grade math class, the seventh grade students participating in a science fair put on by the four middle schools in a school district and the 10 seventh graders on the school soccer team are the samples.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The samples that are a part of the population of interest, which is seventh grade students at your school, are:

The 20 students in a seventh grade math class.

The seventh grade students participating in a science fair put on by the four middle schools in a school district (if the students are from your school).

The 10 seventh graders on the school soccer team (if they are from your school).

The samples that are not a part of the population of interest are:

The first 20 students to arrive at school on a particular day (as this may include students from different grades or schools).

The students on the school debate team (as this may include students from different grades or schools).

Hence,  the 20 students in a seventh grade math class, the seventh grade students participating in a science fair put on by the four middle schools in a school district and the 10 seventh graders on the school soccer team are the samples

To learn more on Statistics click:

https://brainly.com/question/30218856

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Right answer gets brainlist !!
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the loan future value?

Answers

Answer: 7,833

Step-by-step explanation:

Which of these describe a unique polygon

Answers

Answer: d

Step-by-step explanation:

What is the median for the following data set? 5,7,9,11,13,13

A. 10
B. 8
C. 9
D. 11

Answers

The answer is C.9 because 9+4=13 and 9-4=5 hope this helps

Find: (6m^5 + 3 - m^3 - 4m) - (-m^5 + 2m^3 - 4m + 6)​

Answers

Answer:

7m^5 - 3m^3 - 3

Step-by-step explanation:

Which of the following
represents 9!
A. 9
B. 9*8*7*6*5*4*3*2*1
C. 9+8+7+6+5+4+3+2+1

Answers

The answer is B. Btw don’t click on the link provided by the other answer provider it’s a virus.

add the following fraction give me the answer in lowest terms and mixed numbers if necessary. 10/12 +1/2 =

Answers

Answer:

[tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

What is the value of f(x) = 4x -9

Answers

Answer:

F= 1 /4 y+ 9 /4

Step-by-step explanation:

brainliest?

Picture is included please help​

Answers

Answer:

B cannot be factored into a perfect square

Why is it important to know "first term" and "common ratio" when dealing with geometric sequences?

Answers

Answer:

Each term of a geometric sequence increases or decreases by a constant factor called the common ratio. The sequence below is an example of a geometric sequence because each term increases by a constant factor of 6. Multiplying any term of the sequence by the common ratio 6 generates the subsequent term.

Step-by-step explanation:

Please give brainliest

please help me

Step-by-step explanation:

mark me brilliant

Select all that apply. Which numbers are not perfect squares? 36 14 20 16 25 18 24

Answers

Answer:

20, 18, 14, and 24 are all not perfect squares

Step-by-step explanation:

Evaluate each expression using the values m = 7, r = 8, and t = 2.
1. 5m – 6
2. 4m + t
3. r/t
4. mt
5. 5t + 2m
6. rm
7. 3m – 5t
8. mr/t

PEEEEASSSSEEEE HELP!!!! :(

Answers

So I'll walk through the first 2. Then please try the other ones and let me know if you run into more problems.

5m-6

If m is equal to 7, then replace m with 7.

5(7)-6

5x7=35 so the expression is now 35-6. Solve.

35-6=29

So that was the first one.

4m+t

We just do what we do with the first problem.

4(7)+(2)

4x7=28 so the expression is 28+2.

28+2=28

---

hope it helps

p.s. When there is subtraction, add. When there is division, multiply to cancel that out. When there is multiplication, divide to cancel. etc.

Answer:

1,5(7)-6=29

2,4(7)+2=30

3,8/2=4

4,7*2=14

5,5(2)+2(7)=24

6,8*7=56

7,3(7)-5(2)=11

8,7*8/2=28

Describe a situation that can be represented by the integer - 6

Answers

Answer:

One Chilly Night, Elijah Was Sleeping but Then Woke Up. He Realized It Was 45 Degrees According To the AC Monitor, So He Changed it To 70 Degrees But The Monitor Broke And Changed to -6 DEGREES!!

Step-by-step explanation:

A situation that can be represented by the integer - 6 was envisaged.

What are integers?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

One day maths teacher decided to take a random test

There were 16 questions each of 4 marks and 1 mark deduction for each wrong answer, with no penalties for non-attempt.

David was so good at guessing. He guessed all the 16 answers out of which 2 were correct and 14 were incorrect.

So, the total marks that David got = 4(2)-1(14) = 8-14 =-6

Thus, a situation that can be represented by the integer - 6 was envisaged.

To get more about integers visit:

https://brainly.com/question/17695139

A cup of milk has 10 grams of protein. How much protein is in 2.5 cups of milk?

Answers

Answer:

25 grams of protein

Step-by-step explanation:

10 grams of protein is in 1 cup of milk.

To understand how many grams of protein are in 0.5 cups of milk, I would need to divide 10 by 2, to get 5.

There are 5 grams of protein in 0.5 cups of milk.

Now if I want to see how many grams of protein are in 2 cups of milk, I would multiply 10 by 2, to get 20.

There are 20 grams of protein in 2 cups of milk.

But, the question is asking for how much protein is in 2.5 cups of milk.

Since we know how much is in 2 cups, and 0.5, we can just add them together, because 2+0.5 is 2.5.

20+5 is 25 grams.

There are 25 grams of protein in 2.5 cups of milk.

This is a 3rd grade math question. I don't know how to explain it to a 9yr old

Answers

this is 3rd grade math? jesus..

Answer:

that poor 3rd grader O.O that is hard

Step-by-step explanation:

online

what is the area of 1 1/5 width and 1 1/3 length

Answers

Answer:

1.6 unit^2 (dec. form) or 1 3/5 unit^2 (frac. form)

Step-by-step explanation:

(1 1/5)(1 1/3)

(6/5)(4/3)

1.6 unit^2 (dec. form) or 1 3/5 unit^2 (frac. form)

Your friend Sam wants to paint her room. She wants to paint the ceiling
white and the four walls purple.
You are helping Sam determine the cost and the amount of time needed to
paint her room.
The room is shaped like a rectangular prism with a height of 8 feet, length of
12 feet, and width of 10 feet as shown.

Answers

one hundred and twenty approximately

Use the benchmark 1/2 to compare 5/8 and 2/7

Answers

Answer:

what?

Step-by-step explanation:

In the following diagram, parallelogram ABCD contains triangle CED. Line CE and line ED intersect at point E. The measures of ∠CEA and ∠CDE are shown. What is the measure of x?______ degrees *

Answers

Answer:

∠x = 59°

Step-by-step explanation:

∠ECD = 52°   because they are alternate angles and will be equal

∠x = 180° - 52° - 69° = 59°  because the sum of the interior angles of a triangle = 180°

um just testing 157x124

Answers

157x124=19,468 ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍

Answer:

Step-by-step explanation:

What is the solution to this system

Answers

Answer:

the solution to the system is (1,3)

Step-by-step explanation:

x = 1 , y = 3

which of the following fractions converts to a repeating decimal? a. 7/16 B.5/8 C. 2/3 D.4/10

Answers

Answer:

B

Step-by-step explanation:

BRAINLIST. BRAINLIST. BRAINLIST. PLS HELP.

Answers

I’m sorry I just need points lol

Answer:

Mild- 5x=50 4x=40  

Medium- 90- 48=42, 42/2=21 so, 2x=21    

Spicy- 90-25=65, 65+18=83

Step-by-step explanation:

I'm gonna guess that this is the angle measurement so.....

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