The roots of the equation x^2+bx+c =0 are -4 and 2. Find c using the quadratic formula

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello,

c= -4 * 2 = -8 as

[tex]x^2+bx+c=(x+4)(x-2)=x^2+2x-8[/tex]

with the quadratic formula

[tex]x_1=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}[/tex]

And

[tex]x_1x_2=\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{c}{a}[/tex]

thanks


Related Questions

A=1/2h(a+b), solve for a

Answers

Step-by-step explanation:

2A=h(a+b)

2A=ha+hb

2A-hb=ha

2A-hb/h=a

Multiply by 2 on both sides to get:
2A = h(a + b)

Divide by h on both sides to get:
2A/h = a + b

Subtract b from both sides to get:
(2A/h) - b = a

all drop down menus are 0-9
use drop down menus to complete each equation so the statement about its solution is true.

Answers

Answer: 5-4+7x+1 = [7]x+[not 2]

5-4+7x+1 = [not 7]x+[any number]

5-4+7x+1 = [7]x+[2]

Which phrase describes an unknown or changeable quantity?

Answers

Answer:

b

Step-by-step explanation:

you can make it into an equation while the others you can just solve them

What is pls help meeee6x+4

Answers

Answer:

2(3+2)

Step-by-step explanation:

Consider the diagram.
What is the length of segment AB?
A) 7
B) 9
C) 18
D) 25

Answers

Answer:

the answer is 9

Step-by-step explanation:

Answer: the correct answer is 9!!!!!

Please help! I will give brainliest

Answers

Answer:

3

Step-by-step explanation:

as x is bigger than 0in which x is maximum and 0 is minumum

What’s the slope of (-8,2) (1,9)

Answers

Step-by-step explanation:

equation of the line passing through two points

x-x1/x2-x1=y-y1/y2-y1

x-(-8)/1-(-8)=y-2/9-2

x+8/9=y-2/7

7x+56=9y-18

9y=7x+56+18

y=7/9x+74/9

y=mx+b m is the slope

so m=7/9

there is a short way showing slope shown in the picture

g(-4) =
anyone know the answer to this

Answers

g(-4) =1
i hope this helps!

14) What is 50% of 180?
15) What is 25% of 36?
16) What is 100% of 166?
17) What is 150% of 126?
18) What is 10% of 100?
19) What is 200% of 133?
20) What is 25% of 172?

Answers

Answer:

14. 90%

15. 9%

16. 166%

17. 189%

18. 10%

19. 266%

20. 40%

Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?

Answers

4.902

4= ones
9= tenths
0= hundredths
2= thousandths

Dominique has $13.75 in her piggy bank. All of the money are quarters. How many quarters are in the piggy bank?

Answers

Answer: I think its 0.55

Step-by-step explanation: if you do 25 times 0.55 because quarter's are 25 cents it equals 13.75

The number of quarters in the piggy bag will be 55.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.

Given that Dominique has $13.75 in her piggy bank. All of the money is quarters.

The number of the quarters will be calculated as:-

1 dollar ⇒ 4 quarters

13.75 dollars ⇒ 13.75 x 4 quarters

13.75 dollars ⇒ 55 Quarters

Therefore, the number of quarters in the piggy bag will be 55.

To know more about unit conversion follow

https://brainly.com/question/15661961

#SPJ6

help please i need helpp​

Answers

I think it’s 28,800 I’m not sure but I think if I’m wrong sorry

PLEASE HELP ASAP!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls.
x is boys
y is girls
800=1.5x=y
Determine how many boys and girls attend Park Middle School. Round to the nearest whole number if necessary. Show your work.

Answers

Answer:

320 boys; 480 girls

Step-by-step explanation:

Here is the correct system of equations you can write for this equation:

1.5x=y

x+y=800

x+1.5x=800

2.5x=800

x=320

320+y=800

y=480

(2a²b) (6ab) =
Exponents

Answers

Answer:

The answer is (2a²b)(6ab)=12a³b².

what are the slopes of the two lines?

Answers

Step-by-step explanation:

The slopes of two lines are equal

50 students were surveyed about their
favorite ice cream. Here are the results:

Chocolate- 13
Vanilla- 25
Cookie Dough- 12

What decimal represents the students who
prefer cookie dough?

Answers

Answer:

0.12

Step-by-step explan

select all of the lines that have a slope of 2/5

Answers

Need a little more information

the slope 2/5 is written in the formula rise/run. So u can use this method to determine which line has a slope of 2/5.

Solve each of the following equations for the missing variable.

2x – 14 = -9


x = 10

x = 2.5


x = -2.5

x = -10

Answers

Answer: x = 2.5

Step-by-step explanation: Add 14 to both sides. After that take the number left on the right side (5) and divide it by 2. That leaves you with x = 2.5

the answer to the question is 2.5

Solve the proportion.
Thursday
Friday
Classes
6
Hours
8
4
Hellppppp it’s a testttt!

Answers

Ratio of number of classes and the time taken to conduct each one of them on Thursday = 6 : 8

Ratio of number of classes and the time taken to conduct each one of them on Friday = c : 4

Which means :-

6 : 8 :: c : 4

6/8 = c/4

= 6 × 4 = c × 8

= 24 = 3 × 8

c = 3

The ratio = 6 : 8 :: 3 : 4

Which means that C = 3 .

7. Make a box and whisker plot of the following data. Show your work as to how you calculated the different key points on the box-and-whisker plot.

21, 25, 30, 27, 22, 23, 23, 24, 26, 28, 25, 22, 23

Answers

Answer:

Oh boy this is a lot of work

Step-by-step explanation:

So 1st thing 1st, order the numbers from least to greatest. Then, find the median (which is the middle number). After that find the 1st Quartile and 2nd Quarile (you have to find the middle of the first half and the middle of the second half if it is two numbers, add them up and divide it by 2). Also, find the greatest and the least numbers. Then make the box and whisker plot. Since i can't make the full plot in brainly i will give you the steps to make it.

Make a number line. Label it from the least number which is 21 to the greatest number which is 30.Make a box from the 1st quartile which is from 33.5 to 39.5.Split the box on number 24.Make the whiskers which mean make a straight line from the left of the box to the least number which is 21 and make another straight line from the right of the box to the greatest number which is 30.That's all the step to make a box-and-whisker plot!

Hope this helped.

can someone tell me what my GPA is.

Answers

Answer:

probably 5.00

Step-by-step explanation:

maybe a 4.0 or higher cuz those r really good grades

Please help me!!! ASAP!

Answers

Option C

Olivia paid $ 15683.28 after 8 years

-9|-x+5|=0
Solve for x.

Answers

Answer:

x=5

Step-by-step explanation:

-9|-x+5|=0

Divide by -9

|-x+5|=0

The are normally two solutions, one positive and one negative, but +0=-0=0

-x+5 =0

Add x to each side

-x+5+x =0+x

5 =x

find a formula for the nth partial sum of each series 4+(4/3)+(4/9) and use it to find the series’ sum of the series converges.

Answers

Answer:

We can see that:

a₀ = 4

a₁ = 4/3

a₂ = 4/9.

We easily can see that the n-th therm of this will be:

aₙ = 4/3^n.

Now, the denominator increases as n increases, then for a really large n, aₙ will tend asymptotically to zero. This means that this summation converges.

We can write this summation as:

4*∑(1/3)^n.

The sum for the first N-th therms is:

We know that for a summation:

1 + r + r^2 + r^3 + ... + r^N = (1 - r^(N + 1))/(1 - r)

4 + 4*(1/3) + 4*(1/3)^2 + ... + 4*(1/3)^N = 4*( 1 - (1/3)^(N + 1))/(1 - (1/3))

Now, for the complete sum we have that:

n = {0, 1, 2, ...}

We know that for a summation:

∑a*r^n

with n = {0, 1, ...}

the sum is = a/(1 + r).

in this case we have:

a = 4, r = 1/3.

Then the sum is:

S = 4/(1 - 1/3) = 4/(2/3) = 3*2 = 6

Jackson spent $3,472 on a new TV. If he paid it off in 16 equal payments, how much was each payment?

A $217
B $237
C $207
D $227

Answers

Answer:

A. 217

Step-by-step explanation:

3,472/16 = 217

a is the answer hope this helped a lot man have a good day

Solve for x:

20- 3x= -3(x-8)​

Answers

Answer:

[tex]20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4[/tex]

It does not have any answer.

Helppppppp lol idk what I’m doing

Answers

Answer:

C

Step-by-step explanation:

Step 1: Translate word to math

"Five" = 5

"times" means multiplication

"a number" = n

"plus" means addition

"3" = 3

"is" means equal

"12" = 12

Step 2: Set up equation (combine)

5n + 3 = 12

Answer:

C

Step-by-step explanation:

a number represents n

is represents =

times represents multiplication

plus represents addition

5 times n plus 3 is 12

so this means

5n+3=12

A student receives a gift card and decides to purchase medium coffees on it at the same coffee shop daily until her
funds are depleted. After purchasing two coffees, her balance is $23.28 (2, 23.28). After buying five coffees, her
balance is $13.20 (5. 13.20). How many total coffees can she buy on the gift card? What was the original balance on
the gift card? Use the graph and table below to help construct a linear function representing this scenario. Type your
solutions in the text box.

Answers

Answer:

4x4=shaggy

Step-by-step explanation:

you just purchased a new hooded sweatshirt for $24. the total cleaning cost is $2 total because it will be washed with other sweatshirts. you will wear the sweatshirt 18 times this winter. calculate the cost per wearing.

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Please help!! Will give brainliest if correct!

If triangle RST is an equilateral triangle, find x and y.

A. x = 70, y = 35
B. x = 80, y = 40
C. x = 120, y = 30
D. x = 120, y = 40

Answers

Answer:

C.

Step-by-step explanation:

Other Questions
Select the word that is used in a primarily connotative way.I wonder if this tree is getting enough nutrients from the soil, becauseit's looking a bit scrawny. I'll measure the diameter to ensure it's withinrecommended guidelines. Which lines are parallel is m1 + m2 = 180? Justify your answer. Which action best demonstrates the transformation of mechanical energy to heat energy? On April 19, 1775, the Patriots rallied a colonial militia to meetBritish troops at Lexington Town Green to A. stop the British from seizing stores of colonialweapons.B. end the British occupation of Boston and thesurrounding area.C. protect delegates assembling in the SecondContinental Congress.D. prevent British troops from making landfall andmarching on Boston. Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spendon clothing. How much money does she have left in her bank account now? Question 5 of 10Why do business often add fees to their invoices?O A. To help pay for business expensesB. To attract new customersC. To reward customers' for their loyaltyD. To make more profit than their competitors Question 4 of 20Luke wraps a magnetized steel nail with several coils of insulated wire andthen connects the loose ends of the wire to a 10 W lightbulb. Which stepcould he take next to get the lightbulb to light up?O A. Replace the magnetized nail with a nonmagnetic metal to causean electric current to flow in the wire.O B. Remove the magnetized nail from the wire coil to induce amagnetic field that will flow through the wire.C. Move the magnetized nail back and forth within the wire coil toinduce an electric current in the wire.D. Add several more coils of the wire around the magnetized nail tomake a stronger electric current.SUBMIT How is the United States government structure? Sticks in handI begin the beat, beat, beatslow and steady on thebass, bass, bass.The snare drum sashays in,pounding out its partlike the popping of corn,my afternoon snack of rhythmThe startled cymbalsizzles to life,as I sing to the tempo,pounding from my roomthat signals Moma headache is on the horizonHow does a metaphor most clearly contribute to the tone of this poem?A. The metaphor my afternoon snack of rhythm creates anenthusiastic tone because eating an afternoon snacksatisfying and enjoyable Travel journalism is a type of reporting that provides both facts and subjective impressions of the place that the author describes. As literary nonfiction, travel journalism often uses literary techniques that include a story-like narrative structure, sensory language, figures of speech, sensory language, and subjective opinions about the location.options:TrueFalse Need help ASAP with my math What is the collective noun for we swim through schools of tiny fish? After which step in the rice process are the grains of rice collected? Bruh I'm rlly confused pls help Bananas cost $1.15 per pound. Jose bought 2.4 pounds of bananas. How much did it cost? Choose the equation of the horizontal line that passes through the point (2, 3). (1 point)A.X= 2B.x = 3C.y=2D.y = 3 Analyze the sentence to determine whether it contains a dangling construction or is written correctly.Because he was a foreigner, his ignorance of our customs made him feel self-conscious.A. correctly writtenB.dangling construction An object, initially at rest, is subject to an acceleration of 45 m/s^2. How long will it take that object to travel 1000m? Round to one decimal place. Mattola Company is giving each of its employees a holiday bonus of $200 on December 13, 20-- (a nonpayday). The company wants each employee's check to be $200. The supplemental tax percent is used.Nobody has capped for OASDI prior to the bonus check.a. What will be the gross amount of each bonus if each employee pays a state income tax of 2.8% (besides the other payroll taxes)? You may need to add one penny to the gross so that net bonus exactly equals $200. Round your calculations and final answers to the nearest cent.b. What would the net amount of each bonus check be if the company did not gross-up the bonus? Round your intermediary calculations to the nearest cent. Explain how to use the distributive property to find an expression that is equivalent to 20+16. which element has the highest ionization energy?B, Al, Ga, In