Mathematics High School

What are the roots of the equation?

6x3−12x2−48x=0

{0, 2, 4}

{−4, 0, 2}

{−4, −2, 0}

{−2, 0, 4}

Answers

Answer 1

Answer:

{−2, 0, 4}

Step-by-step explanation:

[tex]\displaystyle 6x^3 - 12x^2 - 48x \\ 6x[x^2 - 2x - 8] \\ 6x[x + 2][x - 4] \\ \\ 0, 4, -2 = x[/tex]

I am joyous to assist you at any time.

Answer 2

The roots of the cubic polynomial 6x³ - 12x² - 48x  = 0 are  -2, 0 and 4.

What is the degree of a cubic polynomial?

The degree of a cubic polynomial is 3. Degree of a polynomial is the highest power of the variable in that polynomial. In cubic polynomial, the variable [x] has the highest power of 3 (x³).

Given is the following cubic polynomial -

6x³ - 12x² - 48x  = 0

In order to find the roots of this cubic equation, we will plot its graph. The number of y - intercepts [coordinates where the graph cuts the x axis] will give us the roots or zeroes of the polynomials. The degree of a cubic polynomial is [3], therefore the number of zeroes of this cubic polynomial will be 3. Refer to the graph attached, it can be seen that the graph cuts the x-axis at three points -

x = -2, 0, 4

Which are the roots of this cubic polynomial 6x³ - 12x² - 48x  = 0.

Therefore, the roots of the cubic polynomial 6x³ - 12x² - 48x  = 0 are  -2, 0 and 4.

To solve more questions on roots of equations, visit the link below-

https://brainly.com/question/12404751

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What Are The Roots Of The Equation? 6x312x248x=0 {0, 2, 4} {4, 0, 2} {4, 2, 0} {2, 0, 4}

Related Questions

The body of a dump truck is raised to empty a load of sand. How high is the 14-foot-long body from the frame when it is tipped upward by a 60° angle?

Answers

Answer:

12.12 feets

Step-by-step explanation:

Based on the attached diagram, we can apply trigonometric rule to obtain h :

Sinθ = opposite / hypotenus

Opposite = h

Hypotenus = 14

Sin 60 = h / 14

0.8660254 = h / 14

h = 0.8660254 * 14

Height, h = 12.12 feets

Solve for x please help!!!

Answers

x=13 i believe!! hope it helps <3
2x+6=32
2x=26
x=13 degrees

hello please help i’ll give brainliest

Answers

Answer:

a is the answer I guess.

(-2)÷50

B is the answer: 50 divided by -2 is -25 and -50 divided by 2 is also -25

NEED HELP ASAP
Camille runs every morning before school. On Monday, she ran 2.36 miles. On Tuesday, she ran 4.88 miles. On Wednesday, she ran 3.19 miles. After she ran on Thursday, her total mileage for the week was 12.81 miles. How many miles did she run on Thursday?

Answers

Answer: 2.38

Step-by-step explanation:

Okay so first you add up all the mileage from Monday-Wednesday. After you do that, subtract that number from 12.81 which will give you your answer

Hope this helps :)

Find the value of 4!
O A. 24
O B. 16
O C. 12
O D. 10

Answers

Answer:

A) 24

Step-by-step explanation:

4!

4 x 3 x 2 x 1

24


Part A: How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer.
(5 points

Answers

It has one solution since they cross at one point
The solution is (3,5) because that is where the lines meet meaning they both have the same solution at that point.

(-2,-4)
(-2,4)
(2,4)
(2, 4)

Answers

Answer:

(-2,-4) is in quadrant 3

(-2,4) is in quadrant 2

(2,4) is in quadrant 1

(2,-4) is in quadrant 4

Step-by-step explanation:

Quadrant 1 is Positive, Positive

Quadrant 2 is Negative, Positive

Quadrant 3 is Negative, Negative

Quadrant 4 is Positive, Negative

Feel free to ask if you have anymore questionsHope this helped :)

Step-by-step explanation:

(-2,-4) in 3rd Quadrant

(-2,4) in 2nd Quadrant

(2,4) in 1st Quadrant

(2, -4) in 4th Quadrant

-TheUnknownScientist

You start at (8, 3). You move down 1 unit. Where do you end?

Answers

Answer:

(8, 2)

Step-by-step explanation:

Initial point is: (x, y) = (8, 3)

When you move up or down, you change the y-coordinateWhen you move left or right you change the x-coordinate

Move down 1 unit:

(x, y) → (x, y - 1)

The new point is:

(8, 2)

please help me............

Answers

Answer:  167* and 562*

Step-by-step explanation:  62x72x89x57x81x93x75x8=167//562

The circumference of a pizza is 75 inches. What is the approximate radius of the pizza?

Answers

If the circumference is 75 the radius should be 11.936

Daniella earns a 7.5% commission on everything she sells at the electronics store where she works. How much did she earn last week if she sold $3,500 in electronics merchandise

Answers

Answer:$262.50

Step-by-step explanation:3500x.075=262.5

pls help ill give brainliest if correct

no scams or links

Answers

Answer:

3rd one. Amsterdam is the same distance from sea level as Drachten.

Step-by-step explanation:

because Amsterdam is 2 below, and drachten is 2 above, but they are both 2 meters away from the sea level.

Finish solving the equation -13y + 33 = 7.

Answers

Answer:

y = 2

Step-by-step explanation:

-13y + 33 = 7

add -13y to each side of the equation:

33 = 13y + 7

subtract 7 from each side:

13y = 26

divide both sides by 13:

y = 2

-13y + 33 = 7
-13y = 40
y = -3.0769

OH GOD HELP ME PLS PLS

Answers

Answer: 56

Step-by-step explanation: :)

adding 5 and subtracting 5 are____​

Answers

Answer:

I do not understand

Step-by-step explanation:

Answer:

This question makes no sense but they cancel out

Step-by-step explanation:

Work out 69% of 102.16m
Give your answer rounded to two Decimal Place

Answers

Answer:

70.49

Step-by-step explanation:

Finding the percent of a number is the same as multiplying the number by the percent in decimal form. In other words, diving the percent by (100) and then multiplying the reuslt by the number one wants to find the percent of.

69% of 102.16

= (69 / 100) * 102.16

= 0.69 * 102.16

= 70.4914

~ 70.49

Answer:

70 ( to 2.d.p)

Step-by-step explanation:

[tex]69\% \:of \:102.16m\\\\\\\mathrm{Convert\:}69\%\mathrm{\:into\:a\:decimal\:\\and\:multiply\:by\:}102.16\\69\%\:=\frac{69}{100}\\=0.69\\\\\mathrm{Multiply\:}0.69\mathrm{\:by\:}102.16\\\\=0.69\times\:102.16\\\\=70.4904\\\\=70[/tex]

The scatter plot shows the number of tickets sold and the price of the tickets.

Using the trend in the scatter plot, about how much will people pay for a ticket If 50 tickets are sold?

A.$50
B.$41
C.$25
D.$5

Answers

Answer:

5$

Step-by-step explanation:

I really need help ASAP and I only have 2 left of missing assignments on math and I am really bad at math and I am going to fail help me plzzzzz T^T continue

It's Homework #1: Odds

Answers

6 ) White
5 ) Not sure but my guess would be “B” don’t take my word on this one tho

Answer:

1/5 ; 7/10

Step-by-step explanation:

1) We have 10 letters, G and B are two letters, so the answer is 2/10, that can be simplify in 1/5

2) we have 7 parts black or white. The total parts are 10, so the answer is 7/10

A bathtub can hold 66 galons of water. The faucet adds 5.5 gallons of water to the bathtub evvery minute. Find out how many minutes it takes to fill the empty bathtub. WRITE EQUATION YOU USED!

Answers

Answer: 12 minutes

Step-by-step explanation:

66/5.5

12 minutes

Answer:

12 min

Step-by-step explanation:

5.5 t=66

t=66/5.5=660/55=12 minutes

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

A) 18°

Step-by-step explanation:

To find the measure of the indicated angle, we can use trigonometric ratios.

Looking at the triangle, we can see that we are given the lengths of the two legs of the triangle, but not the hypotenuse. Since we are not given the hypotenuse, the sine and cosine ratios would not work since both of them require the length of the hypotenuse. We can use the tangent ratio, since it only requires the lengths of the two legs. Remember:

[tex]tan(?)=\frac{opposite}{adjacent}[/tex]

From looking at the image, we can see that the length of the side opposite to the angle is 3, and the length of the side adjacent to the angle is 9. Thus, we can use 3 as out opposite and 9 as out adjacent:

[tex]tan(?)=\frac{3}{9}[/tex]

Now we solve for ?. Lets take the inverse tan of both sides to get rid of the tan on the left side:

[tex]?=tan^{-1}(\frac{3}{9})[/tex]

And we get:

? ≈ 18.4349488° ≈ 18°

So the answer would be 18°, or A.

I hope you find my answer to be helpful. Happy studying.

If anyone can i help me

Answers

Answer:89

Step-by-step explanation:

the equation is a^2+ B^2= c^2

8^2+ 5^2= X^2

64+25= X^2

89= X^2

The value of x is 9.4 units in the given right triangle, which is determined by   Pythagoras's theorem.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

The triangle is given in the form of a right-angled triangle

According to Pythagoras's theorem,

The formula is a² + b² = c²

Here a = 8, b = 5, and c = x

Substitute the values in the above formula,

⇒ 8² + 5² =  x²

⇒ 64 + 25 = x²

⇒ 89 = x²

⇒ x² = 89

⇒ x = √89

⇒ x = 9.433

Rounded nearest tenth

⇒ x = 9.4

Therefore, the value of x is 9.4 units in the given right triangle.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

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Find the measure of the indicated angle to the nearest degree (Image Attached)

Answers

Answer:

Y = 31.9° (rounded to 3 significant figures)

im confused again please help

Answers

I think the answer is A.CMIIW

which of the at eight o'clock, which of is the angle between the hour and the minute hands

Answers

Answer:

At 8 o'clock angle between the two hands is 120 degree.

Step-by-step explanation:

For even hours, it’s easy. There are 12 numbers on the 360 degree clock face so each number is 30 degrees. Now, if you are after 6 then “the angle” is the other way so for 8:00, 12–8 = 4*30 = 120 degrees.

The problem comes in when you are not at an even hour. At, say, 8:20, the minute hand has moved 120 degrees and the hour hand has moved 1/3 of 30 or 10 degrees so, the angle is now 8*30 - 4*30 + 10 = 240 - 120 +10 = 130 degrees.

At 8:40 the minute hand has moved 8*30 = 240 degrees and the hour hand has moved 2/3 of 30 or 20 degrees so the angle is now 8*30 - 8*30 + 20 = 20 degrees

PLZ I NEED HELP NOW!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

Answer:

20 divided by 2 = 10

10 x 1/4 = 10/4 = 2 2/4 = 2 1/2

Point F is located at (3, 4) on a coordinate plane. If Point F is reflected across
the x-axis to create Point F', what will the coordinates of F be?

Answers

(-3,4)
Is
The
Correct answer

HELP ME!!!!! im lost......

There are 25% more 7th graders than 6th graders in band. If there are 135 total 6th and 7th graders in the school band, how many 6th graders are in band?

Answers

Let come up with a value to represent 7th graders and 6th graders.
7th=x
6th=y
Y= 0.25x
X+y=135
Plug in 0.25x for Y
X+0.25x=135
X=108 7th graders
Y=27 6th graders

Hello please help me, i am in middle school, i failed two classes last semester and i failed one class this semester, will i flunk?

Answers

Answer:

u should be fine. if anything summer school should help you. college does not care about your middle school grades but you should try your hardest to pass. You have to at least pass

Step-by-step explanation:

summer school, if offered will help you. it isn’t going to be hard. you should not be worrying about your middle school grades, hun. you’ll be fine.

Make x the subject of the formula
X + p = q​

Answers

Answer:

p+q=x

Step-by-step explanation:

The Answer choices are either
45
95
50
90

Answers

The answer would be 95

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