What are the roots of the equation?
10x2 - 6x + 4 = -3x

Answers

Answer 1

Answer:

(3 +/- i*sqrt(151) / 20 (no real solutions)

Step-by-step explanation:

10x^2 - 6x + 4 = -3x

Add 3x to both sides

10x^2 - 6x + 4 + 3x = -3x + 3x

10x^2 - 6x + 4 + 3x = 0

Add like terms

10x^2 - 3x + 4 = 0

We have to use quadratic formula to find the answers

For this equation, a = 10, b = -3 and c = 4

Note: +/- is plus or minus

Quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

x = (-(-3) +/- sqrt(-3^2 - 4(10)(4))) / 2(10)

x = (3 +/- sqrt(9 - 160)) / 20

x = (3 +/- sqrt(-151) / 20

x = (3 +/- i*sqrt(151) / 20

if there's a "-" sign inside a square root, it will give you an imaginary number.

Example:

-sqrt(9) = -3

sqrt(-9) = 3i (first you will ignore the "- " sign, then square the number. After finding the square root, take that '-' sign and turn it to an "i")

So for sqrt(-151), 151 is not a perfect square, so you will get a decimal number. Leave it as it is:

sqrt(151). We can't forget about the "-". Turn the minus into a sign.

It will be i*sqrt(151)

Imaginary numbers can't be simplified, so this is the answer.

(3 +/- i*sqrt(151) / 20


Related Questions

What is 2x + 7y = -14 in y=Mx+b form

Answers

Answer: y= -2/7x-2

Step-by-step explanation:

what's 4/6 + 5/8 ? can u write it out so i can show my work?

Answers

Answer:

2 and 3/8

Step-by-step explanation:

4/6 = 6/8 so 5/8 + 6/8 = 2 and 3/8

Evaluate the expression 2 (3)^3 + 5

Answers

Answer: that’s 2 times 27 wich is 54 and then add 5 is 59

Step-by-step explanation:

Brayden was out at a restaurant for dinner when the bill came. His dinner came to $22. After adding in a tip, before tax, he paid $28.60. Find the percent tip.

Answers

Answer:

30%

Step-by-step explanation:

28.60-22=6.60

6.60/22=0.3

Answer:

30% tip

Step-by-step explanation:

First, we need to find out how much money Brayden left for the tip. To find this, we'll subtract the initial bill from the remaining bill. It will look like this:

$28.60 - $22 = $6.60

We now know that Brayden left a tip of $6.60. Next, we need to set up a proportion to find out what percentage that is. For the first fraction, we need to plug in the tip and the initial bill. We'll use t to represent the tip, and w to represent the whole. It will look like this:

[tex]\frac{6.60t}{22w}[/tex]

Next, we need to set up the second fraction of the proportion. We know that every percent is out of 100, so we know that 100 will be our bottom number. We are solving for the percentage out of 100, so we will use x in its place. The final proportion will look like this:

[tex]\frac{6.60t}{22w} = \frac{x}{100w}[/tex]

Finally, we'll cross multiply and divide to get the final answer. First, multiply 6.60 by 100 to get 660. Finally, divide 660 by 22 to get a final answer of 30%. Brayden left a 30% tip on the bill. The final calculations are as follows:

6.60 X 100 = 660

660 / 22 = 30%

Which number represents 3.5 x 10^9

Answers

Answer:

3,500,000,000

Step-by-step explanation:

the exponent symbolizes how many places the decimal moves. since its positive, it moves to the right. if it where a negative exponent then it would move to the left.

I will check i do it on my phone ill help u out

If
x
=
2
and
y
=
5
, evaluate the following expression:
2
(
4
x
+
3
y
)

Answers

When x = 2 and y = 5, the value of the expression 2(4x + 3y) is 46.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The expression given is - 2(4x + 3y).

If x = 2 and y = 5, then substitute these values into the expression and simplify as follows -

2(4x + 3y)

2(4(2) + 3(5))

Use the arithmetic operation of multiplication -

2(8 + 15)

Use the arithmetic operation of addition -

2(23)

Use the arithmetic operation of multiplication -

46

Therefore, the value is obtained as 46.

To learn more about expression from the given link

https://brainly.com/question/24734894

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The equation is shown. What FACTOR is missing from the equation?
30 + 12 = _(5 + 2)

8
2
4
6

Answers

6 is the missing factor.

30 plus 12 is 42. If we do 6 times 5 that is 30. Then 6 times 2 is 12. If we add 30 and 12 we get 42, making the expression true.

You and 3 friends are going to the fair. You have a coupon that will save your group $20. If the total bill to get into the fair was $100, how much does one regular priced ticket to the fair cost?

Equation:

Answer:

Answers

Answer:

one regular ticket costs $30

Step-by-step explanation:

The total number of people = 4

Without  the $20 coupon, the total cost would have been =100+20 = $120

Assume the price of one regular ticket is x;

4x = 120

Divide both sides by 4 to solve for x

x = 120/4

x = 30

Therefore, one regular ticket costs $30

Answer:

$30

Step-by-step explanation:

Since you pay 100 after discount, you add the 20 dollar discount to the 100 ($120)

Then since there are 4 of you in total, (you+ 3 friends), you divide by 4.

And Voila, your answer is $30 per person.

Hope this helps :)

Answer correctly
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0+0

Answers

*cough cough* umm 74

What dimensions of the box are required to fit the candle? 5 cm by 6 cm by 18 cm 7 cm by 6 cm by 18 cm 5 cm by 3 cm by 18 cm 7 cm by 3 cm by 18 cm

Answers

Answer:

7cm.by6cm sana makatulong

Answer:

The correct answer would be...

B. 7 cm by 6 cm by 18 cm

Step-by-step explanation:

A local restaurant charges $12 for a ham dinner and $15 for a turkey dinner. If they earned $1, 017 for their thanksgiving dinner night and they sold 35 turkey dinners, how many ham dinners did they sell?

Answers

Answer:

Step-by-step explanation:

66

Two customers went to an auto body shop. The first customer paid $561 for and oil change and four new tires. The second customer paid $303 for an oil change and two new tires. What is the cost of an oil change?

Answers

78

Step-by-step explanation:

124 students played a sport in the fall, and 76 students played a sport in the spring. What was the percent decrease of the students who played sports in the spring? Round your answer to the nearest tenth of a percent.

Answers

Answer:

5.7%

Step-by-step explanation:

subtract 124-76.

then, you would divide 76 by 124 to get a weird number so multiply that by 100 to get this.

5.64516129.

then rounding to the nearest tenth would be 5.7.

so i think it would be 5.7%.

R4 = 74 what does R equal??????????????\

Answers

Answer:

R = 18.5

Step-by-step explanation:

Answer: 18.5

Step-by-step explanation: Divide 74 by 4

If you don't give a good answer I will report you

Tickets to a movie cost $9.25 each. What is the total cost for 6 tickets?

Answers

It would be $55.06 because if you add $9.25 six times you will get $55.06

In a lilac paint mixture, 40$ of the mixture is white paint, 205 is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint. If you get stuck, consider using a tape diagram.

Answers

Answer:

White paint is 8

Blue paint is 4

Red paint is 12

The recipe will yield 24 cups of lilac paint if you are talking about the problem i had earlier on my math homework

A 15 meter trunk broke and fell against a wall. The base of the tree is 10 meters from the wall. Found the distance from the ground to the top of the tree. Round your answer to the nearest tenth. Identify which trig function you will be using to solve the problem.​

Answers

Answer:

11.2 m

Step-by-step explanation:

The distance from the ground to the top of the tree = h

Using Pythagoras rule :

Adjacent² = hypotenus² - opposite²

h² = 15² - 10²

h² = 225 - 100

h² = 125

h = Sqrt(125)

h = 11.18

h = 11.2 m to the nearest tenth

18% discount on a list price of $25

Answers

$4.50

Hope this helps!

Answer:

$20.50

Step-by-step explanation:

100% price - 18% discount = 82%.

82% can be written as .82

The original price was 25, so we multiply 25 by 0.82. We get $20.50.

If you are looking for the amount saved, subtract 20.5 from 25. We get $4.50.

What is this answer?

Answers

Answer:

B is the correct answer

Use place value blocks 60rows of cornstalks type Agrows better so there are8 cornstalks in each row type B does not grow as well so they are only 3 cornstalks in each row

Answers

Answer:

Each field has cornstalks = 660

Step-by-step explanation:

P.S - The exact question is -

As given,

There are 2 types of corn - Type A and Type B

Each field has 60 rows

In each row -

Type A corn grow = 8

Type B corn grow = 3

⇒Total corn grow in each row = 8 + 3 = 11

Now,

1 row = 11 cornstalks

⇒60 rows = 60×11 cornstalks = 660 cornstalks

∴ we get

Each field has cornstalks = 660

Event to consider: There is a 50 percent chance that you drive up to a stop light and it is yellow.
True
False​

Answers

Answer:

False

Step-by-step explanation:

Usually there are three different lights on a stop light to consider

With three lights, the chance that the light is yellow would be about 33.334%

If it were to be a 50/50 chance then there would only be two lights

I need answer asap pls​

Answers

Answer: Hey man, go with your guess, you might be wrong you might be correct.

Step-by-step explanation: But I wouldn't pick or because if you're saying or, you're basically asking the question to the original question so I would pick one of the and's

Answer:

b < -7 or b > 7

Step-by-step explanation:

b is surrounded by absolute value bars, which means that whether the value of b is negative or positive, the bars will make it positive. |b| is said to be greater than 7, so the value of b must be:

less than -7 (it can be -8, -9, -10, ...) because the absolute value bars will make it positive.

&

greater than 7 (it can be 8, 9, 10) because it will stay positive anyway.

Therefore, the second answer choice is correct.

I hope this helped! :)

The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a 35$ monthly fee, plus 3$ per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal.

Answers

The expression for the cost of the ABC Book Club is 2x + 40. The expression for the cost of the Easy Book Club is 3x + 35. To find when the total charge for both book clubs is equal, the two expressions must equal each other. (x = the number of books read)

2x + 40 = 3x + 35

Subtract 35 from both sides.

2x + 5 = 3x

Subtract 2x from both sides.

5 = x

So, the total charge for each club is equal when 5 books are read.

Combine like terms
(4x^2+6x+7)−(−8x^2−2x+6)

Answers

Answer:

12x^2+8x+1

Step-by-step explanation:

if 3 boys build a snow manin 24 minutes how many can 9 finish building in 1 hour

Answers

Answer:

what does "manin" mean I can help i just need to know what that word means

i get ur question now! :)

so in 72 minutes 9 kids can make 8 snowman's

Hope this helps u and A LOT! :)

Step-by-step explanation:

Answer:

The answer is 6.

figure b is a scaled copy of figure a, what is the scale factor from figure a to figure b?

Answers

Figure B is 1/3 scale

Helpppp me plzzzzzzzzzz

Answers

Answer:

it is correct

Step-by-step explanation:

trust ur gut

Answer:

you have to correct answer

Step-by-step explanation:

just convert the square roots and fractions to whole numbers and then put them from least to greatest

How would it look like if you graphed this equation. y = 2x - 2

Answers

Answer:

Step-by-step explanation:

is this right re answer what's wrong please !?

Answers

Answer:

explination...

Step-by-step explanation:

so from how i’m understanding it, it would be 12(90) + 20(121).

so 12 x 90 is 1080. so that’s already a good amt, but then 20 x 121 is 2420. now if we add those together,

2420

+1080

-————

3500

so instead of there being more money than she spent, she actually gets the same amount back. so just rearange what’s you out to make sense in a way that matches the problem and you should be good (that was saying it nicely sorry if that seemed rude haha)

which of the following could be points on the unit circle?

Answers

Answer:

Step-by-step explanation:

In each case, square the coordinates of the point and determine whether or not the sum of these squares is 1:

A)  4/9 + 5/9 = 9/9  YES

B)  1 + 1 = 2 NO

C) 3/4 + 1/9 Not equal to 1.  NO

D) 0.64 + 0.36 = 1.00 YES

HENCE OPTION B(1,1) IS CORRECT

What is unit circle?

A unit circle is a circle with a radius of one, as defined by mathematics. The unit circle is a circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane, which is used frequently in trigonometry.

How to solve?

Clearly from the given options (1,1 ) will lie on the circle , Hence option b (1,1) is correct .

Learn more about unit circle https://brainly.com/question/23989157

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