Given the quadratic equation ² + + = 0 where , , are real numbers and ≠ 0, which of the following is the sum of its roots? *
A.) a
B.) c
C.) -b/a
D.) c/a

Answers

Answer 1

Answer:

Here is a more clearer version of the same question ;

29 1.2. Constructing Direct Proofs 1. Let a, b, and c be real numbers with a 0. The solutions of the quadratic equation ax 2 + bx + c = 0 are given by the quadratic formula, which states that the solutions are xi and x2. where and x2 2a 2a (a) Prove that the sum of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to -b/a . (b) Prove that the product of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to c/a.

The proving of both a) and b) has been done

Step-by-step explanation:

The step by step explanation has been given in the attachment below.

Step-by-step explanation:


Related Questions

If x=3 y=-5 and z=-2 what is 90xyz ➗xy? PEMDAS PLEASE HELP! :(

Answers

Step-by-step explanation:

90×3×-5×-2/3×-5

2700/-15

-180

NEED HELP QUICK HURRY

Answers

Answer:

Domain: -5 ≤ x < 1

Range: -4 ≤ x < 7

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that are outputted by function f(x).

We see from the graph that our x-values span from -5 to 1. Since -5 is closed dot, it is included in the domain, but since 1 is open dot, it is not included in the domain:

[-5, 1) or -5 ≤ x < 1

We see from the graph that our y-values span from -4 to 7. Since -4 is closed dot, it is included in the range, but since 7 is open dot, it is not included in the range:

[-4, 7) or -4 ≤ x < 7

According to the rules of significant figures, what is the correct answer to 3.41 + 5?
A.8.41
B.8.4
C.8

Answers

It would be A because you would add the whole numbers which is 3 and 5 which is 8 so then that makes the solution 8.41. :)

I need help with this question

Answers

Answer: 5x - 1 = -6

Step-by-Step Explanation:

We have this diagram here showing numbers and symbols. Just a remainder, "X" is a variable which can be found through and equation of Algebra. Alright, so we have 5 boxes with the symbol "X". Alright, that's a start, so we have 5x as a start of the equation. We have -1 on the same side as well.

Alright, so on the other side- we have Six symbols of "-1".

That concludes to... -6. Alright, notice how all of the symbols are on a Scale, so we can heavily imply that the "=" symbol will take place between the two sets of symbols. Alright, combining them we get.. 5x - 1 = -6.

If you need further instructions/help, don't hesitate to give me a shout out. Bye, and I hope this helps.

please help
thank youu

Answers

Answer:

5

Step-by-step explanation:

i think its y=5 because the bottom one equals 9

Answer:

A or y = 5

Step-by-step explanation:

So from the last explanation, we know that each row or column must be 9. The middle row and middle column must also be 9 so:

6 + y - 2 = 9, and 0 + y + 4 = 9

4 + y = 9, and 4 + y = 9

So we can conclude that:

Y must be 5

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

Step-by-step explanation:

For angle BDG

The common angles are: Angle DBG, Angle DGB

The common sides are: DG, GB, BD

And for angle AEF

The common angles are: Angle EFA, Angle EAF

The common sides are: EF, FA, AE

FOR the BGD triangle, all sides are connected together, so, all of them are common and the angles as well

And the same exact thing with triangle AEF also

Hope it helps!

What integers are closest to the square root of 54 on the number line?

Answers

Answer:

The closets number to the Square root of 54 is √54

√54 = 7.348...

→ The closest WHOLE number to the square root of 54 is 7. The closets number to the Square root of 54 is √54

pls answer!! it's only one question

Answers

Answer:

96

Step-by-step explanation:

Because If you add all of the numbers together you will get 96.

Answer:

467 cm²

Step-by-step explanation:

First off, cut the shape so its in 3 rectangles so you can find the area. Then, however much you cut off of that side you'll subtract from the original length of that side. Then, you'll multiply the lengths of the sides together for all of them and then add.

Help please and thxxx

Answers

Answer:

e

Step-by-step explanation:

If Q is the midpoint of pr, find the coordinates of r if p(11,-2) and q(4,3) look

Answers

r is (-3,8)
to get from p’ to q’, you subtract 7 from the x’ value, and add 5 to the y’ value. so you do the same to get from q’ to r’

Min has dozen blueberry muffins and 1 dozen pumpkin muffins. How many more blueberry muffins than pumpkin muffins does Min have? Enter your answer as a fraction in simplest form by filling in the boxes, ​

Answers

Answer:

7/12

Step-by-step explanation

We have both of the values of the dozen of doughnuts 5/6 of a dozen blueberry and 1/4 dozen pumpkin. In order to determine how many more blueberry muffins Min has, we have to set the denominators to be the same number. To do this we need a common denominator. The least common denominator between 6 and 4 is 12. We multiply the top and bottom of the fraction 5/6 by 2 to get 10/12. We then multiply 1/4 by 3 to get 3/12. 10-3 = 7, therefore Min has 7/12 more blueberry muffins

Answer:

7/12

Step-by-step explanation:

because when you subtract you have to find the LCD or LCM and 12 is the common multiple next you have to find equivalent fractions to 5/6 and 1/4 and you get  5/6=10/12, 1/4=3/12. 10/12-3/12 is 7/12

Danny charges $30 for 3 hours of swimming lessons, Martin charges $44 for 4 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

Danny

Step-by-step explanation:

danny has a better offer

Aaden wants to get a subscription to a library. there are two subscription options one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.

what does point Q represent in this context?

Answers

Answer:

The data we have is:

Library A charges $96 per year.

Library B charges $3 per book he borrows.

Let's find the number of books X that he needs to borrow in order to spend the same amount in each library:

$3*X = $96

X = 96/3 = 32.

This means that if Aaden borrows 32 books per year, is the same for him if he chooses library A or B.

If he borrows more than 32 books per year, library A will be cheaper. (if he borrows 33 books, library B costs 33*$3 = $99, which is larger than the $96 of library A)

If he borrows less than 32 books per year, library B will be cheaper. (if he borrows 31 books library B costs $3*31 = $93, which is cheaper than the$96 of library A)

Step-by-step explanation:

Answer:

A number of books and their cost that is not possible with either subscription

Step-by-step explanation:

Point S is neither on line aaa nor line b, so it represents a number of books and a cost that is different from the combinations possible with either subscription.

* I give all of my credit to khan academy

What is b squared + 12 if b = 102?
I give brainliest if you right

Answers

Answer:

10416

Step-by-step explanation:

102 squared is 10404. 10404 + 12 = 10416

If the equation is an identity or if it has no solution, write identity or no solution.
7n + 5 − 9n = 8 − 2n − 3

Answers

Answer:

7n + 5 − 9n = 8 − 2n − 3 = true

-2 n + 5 = 5 - 2 n = true

Step-by-step explanation:

Left-hand side:

Simplify the following:

7 n - 9 n + 5

Grouping like terms, 7 n - 9 n + 5 = 5 + (7 n - 9 n):

5 + (7 n - 9 n)

7 n - 9 n = -2 n:

Answer: -2 n + 5

____________________________

Right-hand side:

Simplify the following:

-2 n - 3 + 8

Grouping like terms, -2 n - 3 + 8 = (8 - 3) - 2 n:

(8 - 3) - 2 n

8 - 3 = 5:

Answer: 5 - 2 n

FASTTTTTTTTT PLEASEEEEEEEEEEE

Answers

It’s the answer is 68

Wich of the following represents a true statement I Need Help asap well Mary you brain list

Answers

Answer:

B is true

Step-by-step explanation:

A. 4^5*4^5 = 4^(5+5) = 4^10 ≠ 4^15

FALSE

B.  (5^4)^5 = 5^(4*5) = 5^20

TRUE

C. 3^1*3^0 = 3^(1+0) = 3^1 ≠ 3^0

FALSE

D. 6^20/6^10 = 6^(20 - 10) = 6^10 ≠ 6^2

FALSE

Look at the table. Make a conjecture about the sum of the first 25 positive even numbers.
A. The sum is 24x25
B. The sum is 25x25
C. The sum is 25x26
D. The sum is 24x24

Answers

C, the sum is 25x26

Hope this helps

Answer:

C, The sum is 25x26

Step-by-step explanation:

Hope this helps, God bless you and have a great day.

Catherine has 6 gallons of milk and uses 26/5 gallons to make cookies. What fraction of a gallon does she have left?

Answers

Answer:

4/5 gallons left

Step-by-step explanation:

make sure before subtracting that it has the same denominator.

Answer:2

Step-by-step explanation:

There are 256 Tsp in a gallon...so 1 Tsp = 1/256 gal. If one batch of cookies calls for 3 Tsp of milk, 5 batches will require 15 Tsp. So..... 15 / 256 ...

2 answers.

your welcome!!

Please someone answer. Identify the vocabulary word that matches the picture.​

Answers

Answer:

alternate interior angles

Step-by-step explanation:

The angles are alternate interior angles

They are between the parallel lines and on opposite sides of the transversal

1. Two phone plans offer 500 free minutes per month. Plan A charges $29.99 per month with a charge of $0.45 for each additional minute. Plan B charges $34.99 per month with a charge of $0.40 for each additional minute. 1. Write an inequality to find the number of additional minutes, m, for which Plan A costs more than Plan B for any given month.​

Answers

 

Step-by-step explanation:

Plan A costs 100 minutes more than Plan B for the given month.​

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Plan A is $29.99 per month plus $0.45 per minute further than the allotted time. Plan B costs $34.99 per month plus $0.40 for each additional minute.

According to the given question, we can write the inequality would be as:

⇒ 29.99 + 0.45m > 34.99 + 0.40m

⇒ 0.45m - 0.40m > 34.99 - 29.99

Apply the subtraction operation, and we get

⇒ 0.05m > 5

⇒ m > 5/0.05

Apply the division operation, and we get

⇒ m > 100 minutes

Therefore, Plan A costs 100 minutes more than Plan B for the given month.​

Learn more about inequalities here :

brainly.com/question/20383699

#SPJ5

12 - (-19) =
A) -31
B) -7
C) 7
D) 31

Answers

The answer is:

D) 31                    

Hope this helped!      

Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9), A = { 1, 2, 3, 4, B= {2, 4, 6, 8} and
C= {3, 4, 5, 6). Find (i) A (ii) An C (iii) (An CY (iv) A UB (V) BIC

Answers

Answer:

yo i coy to ghost minder

De’shawn pays $.16 for 12 pounds of sugar.what is the price of the sugar?

Answers

Answer:

$.16 x12=$1.92

Step-by-step explanation:

$.16 cents a lb x12 lbs =$1.92

Are you sure the question is correct ? Your saying he paid .16 cents for 12 lbs of sugar.  If so

its .16 divided by 12= 0.01

What is the slope and y-intercept of the linear equation y = 5x - 4?
m2 =
ь

Answers

Answer:

Where m is the slope and b is the y-intercept. So in this case m=5 and b=-4, or in other words the slope is 5 and the y-intercept is (0,-4) (since x=0 for all y-intercepts).

Answer:

The slope is 5 and the y-intercept is -4.

Step-by-step explanation:

The slope intercept formula is y=mx+b. 5 is the m and -4 is the b. Hope this helps!

Which expression has a value of 40?

240 ÷ 60
2,400 ÷ 6
2,400 ÷ 60
2,400 ÷ 600

Answers

Answer:

2,400 ÷ 60  = 40

Step-by-step explanation:

Answer:

2,400/60=40

Step-by-step explanation:

SOLVE 7-9 I WILL GIVE BRAINLIST

Answers

Answer:

7. Approximately 402.7 inches or 2pi times 64

8. 31.83 To solve this you know 2pi r is an equation for the radius. 2πr=200 and r=200/2π=100/π= 31.83.

9. The one with pi in the equation because 3.14 is only a piece of pi but the symbol represents the whole number which goes on forever.

Step-by-step explanation:

Which expression is equivalent to 14 x 14?

Answers

Answer:

14^2

Step-by-step explanation:

Answer: 14^2 ,  14+14+14+14+14+14+14+14+14+14+14+14+14+14+

Step-by-step explanation:

During the month of December a bus company decides to only sell daily passes. They charge 3$ dollars per pass. Describe the domain and range of the scenario above

Answers

Is there more information? I think the domain and range would both be (0,infinity)

Using function concepts, it is found that:

The domain of the scenario is: {0, 1, 2, 3, 4,...}.

The range of the scenario is: {0, 3, 6, 9, 12,...}

The domain of a function is the set that contains all possible input values.

In this problem, it is the number of passes sold per day, thus, the domain of the function is: {0, 1, 2, 3, 4,...}.

The range of a function is the set that contains all possible output values.

In this problem, it is the amount earned when x passes are sold, considering that each pass is sold for $3, the range of the function is: {0, 3, 6, 9, ...}

A similar problem is given at https://brainly.com/question/24742551

A market buys mixed nuts at $12.25 per pound. They markdown the mixed nuts 12%. What is the price per pound for the mixed nuts with the discount?

Answers

Answer:

the answer is £1.47

Step-by-step explanation:

on a calculator time's your number by 0.12 and that's how you found your answer

Answer:

Step-by-step explanation:

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