what is the answer to this equation using the quadratic formula?
3x^2+2x+4x=0

Answers

Answer 1

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+4}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(4)}}{2(3)}\implies x=\cfrac{-2\pm \sqrt{4-48}}{6}[/tex]

[tex]x=\cfrac{-2\pm \sqrt{-44}}{6}\implies x=\cfrac{-2\pm \sqrt{(-1)(2^2)(11)}}{6}\implies x=\cfrac{-2\pm 2~i\sqrt{11}}{6} \\\\\\ x=\cfrac{2(-1\pm i\sqrt{11})}{6}\implies x=\cfrac{-1\pm i \sqrt{11}}{3}[/tex]

mind you that it has two complex roots, or imaginary values.


Related Questions

Use the equation below to find y. If M=2, X=5 and, B=12. y=mx+b. y=
Please help ASAP!
Also answer in number form.

Answers

Answer:

y= (2)(5)+12

 =10+12

 = 22

Answer:

22

Step-by-step explanation:

replace the variables with the given values:

y=(2)(5)+12

y=10+12

y=22

Help me pls pretty pls it’s so hard to do this type of stuff

Answers

Answer: make the variable y

and the equation should be

10 + .20y = 25

hope this helps

hello people ~
what is the perimeter of a rectangle whose length and breadth are 20cm and 18cm?​

Answers

Answer:

[tex]\displaystyle 76\:cm.[/tex]

Step-by-step explanation:

[tex]\displaystyle 2l + 2w = P \\ \\ \boxed{76} = 36 + 40 \Rightarrow 76 = 2[18] + 2[20] \\ \\ \boxed{76 = P} [/tex]

I am joyous to assist you at any time.

Length=L=20cmBreadth=B=18cm

Perimeter:-

[tex]\\ \rm\rightarrowtail 2(L+B)[/tex]

[tex]\\ \rm\rightarrowtail 2(20+18)[/tex]

[tex]\\ \rm\rightarrowtail 2(38)[/tex]

[tex]\\ \rm\rightarrowtail 76cm[/tex]

A small organic food store makes two types of fruit smoothies: tropical and sport. each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. each sport smoothie uses 3 oz of orange juice and 3 oz of milk. the store buys the orange juice in a 210-oz container and milk in a 150-oz container. the store sells the tropical smoothies for $4 and sells the sport smoothie for $3. what is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk? $100 $110 $150 $280

Answers

Answer:$150

Step-by-step explanation:

the sport drink is only 25% less in the price compared to the tropical...

but is 2-3 times less supplies than the tropical... pretty convenient but the most you get from the tropical is $92

the most you can suck out of this total is $150

Answer:

c) 150

Step-by-step explanation:

edge 2020

i really need help ! it would mean alot if you did help ❤️ !​

Answers

Answer:

B

Step-by-step explanation:

Hope this helps!!!

Answer:

B. Math , Social Studies , Reading is the answer.

I think this helps you ☺️☺️.

Thank you ☺️☺️☺️

It took Allen 2 hours to plant 4 flats of flowers. How many hours would it take for him to plant 22 flats of flowers

Answers

Answer:

11

Step-by-step explanation:

Answer:

11 hours

Step-by-step explanation:

22÷4 = 5.5

5.5×2 = 11

what is 0.75x – 100 ≤ 80

Answers

Answer: X is less than or equal to 240

The solution to the inequality 0.75x - 100 ≤ 80 is x ≤ 240.

Given is an inequality what is 0.75x – 100 ≤ 80, we need to solve it,

To solve the inequality 0.75x - 100 ≤ 80, we can follow these steps:

1. First, let's isolate the variable x by adding 100 to both sides of the inequality:

0.75x - 100 + 100 ≤ 80 + 100

0.75x ≤ 180

2. Next, we can divide both sides of the inequality by 0.75 to solve for x:

(0.75x) / 0.75 ≤ 180 / 0.75

x ≤ 240

Therefore, any value of x that is less than or equal to 240 will satisfy the inequality.

Therefore, the solution to the inequality 0.75x - 100 ≤ 80 is x ≤ 240.

Learn more about Inequality click;

https://brainly.com/question/28823603

#SPJ6

What modifications did kepler make to copernicus’s model? select two options. planetary orbits are elliptical. planets closer to the sun move faster. planets spin in an epicycle while orbiting earth. venus has phases due to its orbiting of the sun. earth’s rotation causes the rising and setting of the sun.

Answers

The modifications did Kepler make to Copernicus’s model are planetary orbits are elliptical (A) and Earth’s rotation causes the rising and setting of the sun (E).

What are the laws of Kepler?

There are three laws, made by the Kepler, to explain the motion of the planet around the sun.

First Law-According to this law, all the planets moves in the elliptical orbits. The center of this orbital path is the Sun. Thus Planetary orbits are elliptical. Second Law-The planet moves in elliptical orbit. The line of planet and sun sweeps out equal mass in equal time.Third Law-The square of the period of a planet to complete one path of electrical orbit is directly proportional to the cubes of semi-major axis of their orbit.

Earth’s rotation causes the rising and setting of the sun because of the earth's rotation on its axis.

Hence, the modifications did Kepler make to Copernicus’s model are planetary orbits are elliptical (A) and Earth’s rotation causes the rising and setting of the sun (E).

Learn more about the laws of Kepler here;

https://brainly.com/question/15691974

S is the midpoint of RT. If RS = 6x and ST = x + 10, what is RS?

Answers

Answer: 12

Step-by-step explanation:

find the missing value

Answers

well, the volume of that triangular prism will just be the area of the triangle times the length.

now, what's the area of that triangular face?  well, let's say it has a base of "b" and a height of 3, whilst the prism has a length of 6, Check the picture below.

[tex]\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(b)(3)}\stackrel{\textit{prism's length}}{(6)}~~ = ~~4\frac{1}{2}\implies 9b=\cfrac{9}{2}\implies b=\cfrac{9}{18}\implies b=\cfrac{1}{2}[/tex]

Find the value of x.

Answers

Answer:

x = 25

Step-by-step explanation:

[tex]2x + 10 + 30 = 90[/tex]

[tex]2x + 40 = 90[/tex]

[tex]2x = 50[/tex]

[tex]x = 25[/tex]

Which Property of Multiplication is shown ? (9 + 6) 4 = 9 x 4 + 6 x 4

Answers

Answer:

This property is associative

Step-by-step explanation:

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

The distributive property of multiplication over addition:

a(b + c) = ab + ac

(9 + 6)4 = 9 × 4 + 6 × 4

is an example of the distributive property.

The graph of function g(x) is a vertical stretch of the graph of function f(x)=x ​​by a factor of 2.

Which equation describes function g(x)?


​​g(x)=f(x)−2

​​g(x)=f(x)+2

g(x)=2f(x)

​g(x)=1/2f(x)

Answers

Answer:
g(x) = 2f(x)


What the other options mean:

g(x) = f(x) – 2
Translation down 2 units

g(x) = f(x) + 2
Translation up 2 units

g(x) = 1/2 f(x)
Vertical compression by a factor of 1/2

Answer:

g(x) = 2f(x)

Step-by-step explanation:

4x + 6y = -8
-6x-6y = 24
what are the coordinate point where the two lines will intersect​

Answers

Answer:

the point where the two lines intersect is (-8, 4)

Two angles are supplementary. The measure of the larger angle is 12 less than 3 times the measure of the smaller angle.Find the measure of each angle

Answers

Answer:

48 , 132

Step-by-step explanation:

Let smaller angle = x

Larger angle = 3x - 12

x & (3x - 12) are supplementary

So, x + 3x - 12 = 180°

          4x - 12 = 180

                  4x = 180 +12

                   4x = 192

                     x = 192/4

x = 48°

Larger angle = 3*48 - 12 = 144 - 12 = 132

Answer: The measure of the smaller angle is 48,and the larger angle is 132.

Step-by-step explanation:

Sent the other one too early
Please help, it's due today, I'll give brainliest!

Answers

Answer:

yes its right

Step-by-step explanation:

Answer:

J: (2, 4)

K: (1, 1)

L: (4, 0)

M: (1, 3)

N: (3, 2)

O: (2, -2)

P: (-1, 0)

Im not sure what the J' or K' means, i might have to search it up but ill try answering that too

Step-by-step explanation:

this is very simple actually! i can teach you:

(x,y)

so if you are counting left or right it goes to the x. for example, if you want to find J, you go to the black dot that says J and count starting from 0 or by looking at the x axis.

if you are counting up or down you go to (input the value) the y. if you want to find J for example, (the y coordinate) you go to the black dot and you count starting from 0. usually it will have the points -5 -4 -3 -2 -1 0 1 2 3 4 5 but in your problem it does not have so you just have to count carefully.

i will go search for what K' or J' means

What is 5 divided by (-3) but in the long division?

Answers

Answer:

Step-by-step explanation:

Divide 5 by 3

5 divided by 3 is 1 (in the set of integers). The remainder is 2.

5/3 is 1.666666666666666666666666666666666666666666666666666666666666667 (in the set of reals).

Solution for 5 divided by 3

✍️See below how to solve this division manually.

5 divided by 3 - Long Division Solution

The solution below uses the "Long Division With Remainders Method". It is one of two existing methods of doing long division.

Start by setting the divisor 3 on the left side and the dividend 5 on the right:

 1 ⇐ Quotient

 ―

3)5 ⇐ Dividend

 3

 -

 2 ⇐ Remainder

The result of the division of 5 divided by 3 is 1.6666666666666667, as a decimal number.

5/3 as a mixed number

5 divided by 3 equals to the mixed number 1 2

3

.

Note that the result of the division 5÷3 is not an exact value and is equivalent to a recurring decimal 1.66... (which has 6 as the period).

Given that x = 7.6 m and θ = 47°, work out BC rounded to 3 SF.

Answers

7.09 meters

Step-by-step explanation:

first start by using sin of 47 to find the hypotenus.

Then after finding the hypotenus you just have to use cos of 47 to find BC

Answer:

7.09 m

Step-by-step explanation:

Given that x= 7.4 m and θ = 23°, work out AC rounded to 3 SF.

Answers

Answer:

18.939

Step-by-step explanation:

Use SOH CAH TOA to find sin(23) = 7.4/x. Convert it to x(sin23) = 7.4. Divide both sides by sin23 to get x=18.939

Hey there!

[tex]\overline{AB} = 7.4m[/tex]

[tex]\overline{ACB} = 23°[/tex]

[tex] Sin(ACB) = \frac{\overline{AB}}{\overline{AC}}[/tex]

[tex] Sin(23°) = \frac{7.4}{\overline{AC}}[/tex]

[tex]\overline{AC}=18.939m[/tex]

What is an
equation of the line that passes through the points (-8,-4) and
(-8, – 7)?

Answers

Answer: x=-8

Step-by-step explanation:

-1/10 dived by 1/8. please answer in fraction form

Answers

Answer:

-4/5

Step-by-step explanation:

I calculated it and the answer came directly

Answer:

[tex] -\dfrac{4}{5} [/tex]

Step-by-step explanation:

[tex] -\dfrac{1}{10} \div \dfrac{1}{8} =  [/tex]

[tex] = -\dfrac{1}{10} \times \dfrac{8}{1} [/tex]

[tex] = -\dfrac{1 \times 8}{10 \times 1} [/tex]

[tex] = -\dfrac{8}{10} [/tex]

[tex] = -\dfrac{4}{5} [/tex]

MQ = 2x+2
QO= 3x-10

find x

(it’s a rhombus)

Answers

Answer:

2x+2=3x-10

2+10=3x-2x

x= 12

Answer:

x = 12

Step-by-step explanation:

The diagonals PN and MO are perpendicular bisectors of each other, thus

QO = MQ , substitute values

3x - 10 = 2x + 2 ( subtract 2x from both sides )

x - 10 = 2 ( add 10 to both sides )

x = 12

You're playing the ring toss at a carnival. In one round of the game, you either hit your target and win, or you miss the target and lose. What is the probability you will win one round of the game?

Answers

If you’re only playing one round, it’ll be 1/2 change you will win. So it is likely
Answer:1/2

Total probability in round 1 is 1
And there are two likely outcomes which are win and lose
And as such there is an equal probability for both to happen
Also , the sum of the two outcomes should be 1
(Win + Lose ) = 1
(1/2) + (1/2) =1
Hence the probability that round 1 is won is 1/2

A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven Jackson wants to rent a car knowing that he plans to drive 500 miles he has at most $210 to spend what is the maximum amount of number of days that Jackson can rent a car while staying with his budget

Answers

Answer:

maximum amount of number of days that Jackson can rent a car while staying with his budget is 2 days

Step-by-step explanation:

first of all find the amount of money he will spend for 500 miles

in this case we multiply 0.12 by 500

=> 0.12 × 500

=> 60

subtract 60 from the money budgeted which is $210

=> $210 - 60

=> 150

divide 150 by the company charges per day which is dollars 68.64

=> 150 ÷ 68.64

divide 150 by 68.64

=> 2.185314685314685

approximately

=> 2 days

Answer:

2

Step-by-step explanation:

Let's say the number of days that Jackson can rent the car is x. By the question to know 6

the sum of two numbers is 840. one of the numbers is 357. what is the other number?​

Answers

Answer:

483

Step-by-step explanation:

840 minus 357 is 483

a diver is -46 feet in the water. he swims up 0.5 feet every 3 seconds. what is the location of the diver relative to the surface after 15 seconds

Answers

Answer:

-43.5

Step-by-step explanation:

After 15 second he would have swam to a level of -43.5.

43.5 in 15 seconds have a great day

Find the distance between the two points in simplest radical form (3, 8) and (5, - 1)

Answers

Answer:

[tex]d = \sqrt{85}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(5-3)^2+(-1-8)^2}[/tex]

[tex]d = \sqrt{(2)^2+(-9)^2}[/tex]

[tex]d = \sqrt{4+81}[/tex]

[tex]d = \sqrt{85}[/tex]

Which graph shows the solutions of the system of equations 2x - y = 8 and x - y = 2?
(Refer to both images for all answers)

Answers

Answer:

A. First graph

Step-by-step explanation:

2x - y = 8 in slope intercept form is y = 2x - 8

x - y = 2 in slope intercept form is y = x - 2

The first graph matches the slope intercept form equations.

what is 10.9 and 6.25 as a fraction

Answers

10.9 as a fraction is 10 9/10 and 6.25 as a fraction is 6 25/100

PLSS HELPP I DONT UNDERTANDD

Two numbers a and b are in the ratio 3 : 4. If the first number is decreased by 4 and the second is decreased by 2, they are in the ratio 2 : 3. Find a and b.
a =
b =

Answers

Sorry it’s a bit messy, hope this helps
Other Questions
Jasmine has $700 in her checking account at the beginning of the school year at college. Shepredicts that she will need $30 a week for food and traveling expenses. She wants to have at least$250 in her account. For how many weeks can she withdraw money from her account? Write 5 x 10 to the 6th power in standard notation. 1. Two boys A and B are asked to take 4 chairs from the ground floor to a room at the second floor. A takes 30 minutes to do this work while B takes 60 minutes for the same. (a) Name the physical quantity that is same for both boys. (b) Name the physical quantity that is different and find its ratio for the two boys. 3 over 7 of 2 over 7 is equal to Which phrase best completes the sentence about factors that led to the 1920's economic boom Amphetamine was developed initially as a substitute for a closely-related chemical derived from the Chinese herb ma huang. That chemical is: What two elements is found in both carbohydrates and water? What could you find in a personal essay that you would NOT see in an informational text?A. the author's experiences and feelings B. a fictional story about the topic C. comments from reliable sourcesD. true facts and details about the topic Han ran 10 meters in 2.7 seconds. Priya ran 10 meters in 2.4 seconds. How long would it take han to run 50 meters. Crystal said she used the distributive property to evaluate 5(4 + 7). These are the steps she took:5(4 + 7) = 54 + 7 = 20 + 7 = 27What mistake did Crystal make? What is the correct answer to 5(4 + 7)?Type a paragraph Which expression would be easier to simplify if you used the associative property to change the grouping 185285468+99548-19576+754 what are some ways humans are abiotic organisms Jose and Maria came to the United States from Mexico with their parents. They quickly learned English, but their parents struggle with it and also want to continue to speak Spanish at home to maintain their culture. This is an example of A. dissonant acculturation B. generational continuity C. assimilation D. consonant acculturation can your help me to solve this question I need help pleez help meeee Which of the following does Malala NOT mention about the Taliban? Heather is planning to buy a home. She would need to borrow $200,000 from a bank over a 30-year period. The monthly payment is $1800. What will be her total interest for the 30 years? 1. Find the product of 8,412 x 43 2. A jewelry store has 8/10 of gold. They Need 1/5-ounce groups. how many groups do they need?3. on every 6th day Angelique goes to the gym to exercise. every 7th day Bentley goes to the gym to exercise. what is the First day Angelique And Bentley will be at gym on the same day? Choose all numbers that are divisible by 3