Solve. 9 m 3 − 27 m 2 − 252 m = 0

Answers

Answer 1

Answer:

m = 0

m = 7

m = -4

Step-by-step explanation:

[tex]\sf 9m^3-27m^2-252m=0[/tex]

Divide by 9:

[tex]\sf \implies m^3-3m^2-28m=0[/tex]

Factor out common term m:

[tex]\sf \implies m(m^2-3m-28)=0[/tex]

Factor expression in parentheses:

[tex]\sf \implies m(m-7)(m+4)=0[/tex]

Therefore,

[tex]\sf \implies m=0[/tex]

[tex]\sf \implies m-7=0 \implies m=7[/tex]

[tex]\sf \implies m+4=0 \implies m=-4[/tex]


Related Questions

What are the y-intercepts of this conic section?



(0, −4) and (0, 4)

(0, −2) and (0, 2)

no y-intercepts

(−2, 0) and (2, 0)

Answers

Step-by-step explanation:

the second one, of course.

a y-intercept is a point where x = 0.

the 2 options are clearly having y-values of -2 and +2.

find the first derivative of x^2+y^2=25​

Answers

Answer:

[tex]\frac{dy}{dx}=-\frac{x}{y}[/tex]

Step-by-step explanation:

Use implicit differentiation:

[tex]x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}[/tex]

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.

what is the sum? complete the equation 3 1/7 + (-5 4/7)

Answers

Answer:

The answer is

[tex] - 2 \frac{3}{7} [/tex]

Convert 12 yards 3 feet and 8 inches into inches

Answers

Answer:

476 inches. i dont know how to do an explanation i just looked it up lol

Answer:

476 inches

Step-by-step explanation:

First convert 12 yards to 36 feet. We know this is the conversion because there are 3 feet in every foot, and 12 times 3 is 36.

We add 36 feet to 3 feet and we get 39 feet. There are 12 inches in a foot, so we do 12 times 39 feet and we get 468 inches.

The we add 468 inches to 8 inches and finally get 476 inches.

Function or not
x y
12 7
3 -2
-2 3
9 8
-12 12

Answers

Answer:

function

Step-by-step explanation:

x coordinates don't repeat

The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2

9x^2 - 12x + 4

A. True

B. False

Answers

Answer:

True

Step-by-step explanation:

[tex]9x^2-12x +4 \\\\=(3x)^2 - 2\cdot 3x \cdot 2+2^2\\\\=(3x-2)^2[/tex]

120 feet is to 150 feet as 8 feet is to ten feet write the proportion HELP PLEASE!!! AND PLEASE SHOW HOW TO DO IT

Answers

Answer:

Step-by-step explanation:

120/150  = 0.8

8/10 = 0.8

8x15=120

10x15=150


The total weight of a delivery truck is equal to the weight of the empty truck plus
the weight of the packages. The truck weighs 8,200 lb when empty.
Write an equation that shows how to use the total weight of the truck to
find the weight of the packages. Show your work.

Answers

The weight of the package is an illustration of a linear function

The total weight of the package is p = 8200 - T

How to determine the total weight of the package?

The given parameter is:

Weight of empty truck = 8200 lb

Represent the total weight of the truck with T, and the weight of the package with p.

So, we have:

T = 8200 + p

Make p the subject

p = 8200 - T

Hence, the total weight of the package is p = 8200 - T

Read more about linear equations at:

https://brainly.com/question/4074386

1
Find the circumference of the circle shown, correct to two decimal places.
7 cm
Circumference =
Enter your next step here
cm

Answers

_____________________

What table represents the relationship “A video game designer makes $35 per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 35, 70, 105. Column 2 is labeled Dollars with entries 1, 2, 3. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 35, 40, 45. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 36, 37, 38. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Dollars with entries 35, 70, 105.

Answers

Answer:

d

Step-by-step explanation:

3. A jet traveled at an average speed of 681 kilometers an hour. At that rate, how far did the jet go in 7 1/4 hours?​

Answers

[tex]\stackrel{mixed}{7\frac{1}{4}}\implies \cfrac{7\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{29}{4}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} K ms&hours\\ \cline{1-2} 681 & 1\\ x& \frac{29}{4} \end{array} \implies \cfrac{681}{x}=\cfrac{1}{~~ \frac{29}{4}~~}\implies \cfrac{684}{x}=\cfrac{4}{29} \\\\\\ 19836=4x\implies \cfrac{19836}{4}=x\implies 4959=x[/tex]

Ali wants to surprise his wife Sara by presenting her some flowers, when he returns back from a work tour. He plans to spend exactly $24 on a bunch of exactly two dozen flowers. Sara loves lilies, roses and daisies. At the flower market they are selling lilies for $3 each, roses for $2 each, and daisies $0.50 each. How many flowers of each type can Ali buy?

Answers

Answer:

he can buy 8 of lilies and 12 of rose and 48 of daisies

Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

Suppose Ali buys x flowers of lilies, y flowers of roses, and z flowers of daisies.

According to the question

x+y+z = 24......(1)

3x+2y+0.5z = 24.......(2)

Here, we have three variables but only two equations.

2(2)-(1) gives, 5x+3y = 24......(3)

Since, x, y and z can take only integer values.

What are integers?

Numbers that are not fractions called integers.

So, from (3) only x=3 and y=3 is possible

So, z= 24-x-y

z=24-3-3 = 18

So, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

Therefore, Ali can buy 3 flowers of lilies, 3 flowers of roses, and 18 flowers of daisies.

To get more about linear equations visit:

https://brainly.com/question/14323743

Solve for x.

x−9=−524

Enter your answer as a mixed number in simplest form by filling in the boxes.

x = $$

Answers

X is equal to 515 that’s the correct answer after collecting like terms

Answer:

The answer is 1 7/8

Step-by-step explanation:

I did the test. Screenshot here;

Hope this helps!

A bag contains 9 green marbles, 6 purple marbles, 4 red marbles, 10 blue marbles, and 7 orange marbles. One marble is randomly selected from the bag.

What is the probability that the marble selected is blue or purple?

Answers

The probability that the marble selected is blue or purple is the likelihhood of selecting a blue or purple marble

The probability that the marble selected is blue or purple is 0.444

How to determine the probability?

From the question, we have:

Green = 9

Purple = 6

Red = 4

Blue = 10

Orange = 7

So, the total number of marbles is:

Total = 9 + 6 + 4 + 10 + 7

Total = 36

The number of blue or purple marbles is;

Blue or purple = 10 + 6

Blue or purple = 16

So, the probability that the marble selected is blue or purple

p = 16/36

Evaluate

p = 0.444

Hence, the probability that the marble selected is blue or purple is 0.444

Read more about probability at:

https://brainly.com/question/251701

Find the value of x + y, given that 9x^2 - 9y^2 = 72 and x - y = 1.5​

Answers

Answer:

 [tex]5\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\boxed{a^{2} -b^{2} = (a +b)(a -b)}[/tex]

9x² -9y²= 72

Factorise:

9(x² -y²)= 72

Divide both sides by 9:

x² -y²= 8

(x +y)(x -y)= 8

Given that x -y= 1.5,

(x +y)(1.5)= 8

Divide both sides by 1.5:

x +y= [tex]5\frac{1}{3}[/tex]

Help help math math math

Answers

Answer: 5a+23

Step-by-step explanation: Let us combine like terms. -7a + 12a = 5a, and 17 + 6 = 23, thus it is 5a + 23.

Answer:

slay

Step-by-step explanation:

slay

Are these two triangles congruent?
A) SSS
B) SAS
C) Not Congruent
D) Other

I’ve tried different answers. Can someone please tell me what I’m missing? Thanks in advance.

Answers

Answer:

The angles are not congruent

Step-by-step explanation:

This is because the two triangles show angle angle angle and that does not prove triangle congruency.

the process of splitting a numbers into equal parts or groups

Answers

Answer:

Division

Step-by-step explanation:

Dictionary Definition:

the action of separating something into parts or the process of being separated.

Hope that helps

Given that the width is 4.5 units and the length can be represented by x + 3, which answer choice shows the correct expression of the area below?
Please just explain step by step how you got the answer.
!!! I WILL GIVE YOU 50 POINTS IF YOU SOLVE IT!!!

Answers

Step-by-step explanation:

the area of a rectangle is

length × width

that is in our case

(x + 3) × 4.5 = 4.5x + 4.5 × 3 = 4.5x + 13.5

remember, when multiplying 2 expressions, you multiply every term of one expression by every term of the other expression and then you add all these individual results up by considering the signs, of course.

What is the area of this cross section of this rectangular prism? Enter your answer in the box.

Answers

Hello, it seems your figure hasn't uploaded correctly. Are you able to try again?

Enter the distance, in units, between point A and point B

(Don’t sent me links pls

Answers

Answer:

1

Step-by-step explanation:

The distance between A to B is 1 unit

How many inches are in 6 3/4 feet? Enter only a number. Do not include units.

Answers

Answer:

81 inches

Step-by-step explanation:

I believe this is it…

The answer is 81

How to Convert Feet to Inches
To convert a foot measurement to an inch measurement, multiply the length by the conversion ratio.

Since one foot is equal to 12 inches, you can use this simple formula to convert:

inches = feet × 12
The length in inches is equal to the feet multiplied by 12.

7 is less than y by 5.Find y.​

Answers

Answer:

12

Step-by-step explanation:

If 7 is less then y by 5, you add 5 to 7

7 + 5 = 12

resulting in y equaling 12

12 - 5 = 7

Answer is 345 make an equation from 100, 10, 3, 4, 5, 2, 1

Answers

Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345

Select the correct answer.
Ron is currently wary of investing in hardware dedicated for his data warehouse. He prefers using system software to connect to different types
of data stores. Which data warehouse is Ron using?
OA. distributed
ОВ.
LAN based
О С.
virtual
OD. multistage
О Е
stationary

Answers

The data warehouse that Ron, who is currently using system software to connect to different types of data stores, but is not investing in dedicated hardware is C. virtual.

What is a virtual data warehouse?

A virtual data warehouse includes a set of separate databases.  These separate databases can be queried together, enabling Ron to effectively access all the data as if it was stored in one data warehouse.

A virtual data warehouse is not like a distributed, LAN-based, multistage, or stationary data warehouse.

In the case of a distributed data warehouse, there is a conglomeration of separate components connected via a network.

Thus, the data warehouse that Ron, who is currently using system software to connect to different types of data stores, but is not investing in dedicated hardware is C. virtual.

Learn more about data warehouses at https://brainly.com/question/25885448

Answer:

C. Virtual

Step-by-step explanation:

The aspect ratio of the television screen is 16:9 and it is 63cm High. What is its width?

Answers

The answer would be 75 width

Help Picture below problem 17

Answers

Answer:

139°

Step-by-step explanation:

18°+23°+?= 180°{sum of angles on a triangle}

41°+?° = 180°

?° =180-41=139°

Shawn is typing paper for a class. He can type 1 6/11 pages in 1/3 of an hour. How many pages can shawn type in in one hour

Answers

Answer:

4 7/11

Step-by-step explanation:

1 6/11 * 3 = 3 18/11 = 4 7/11

19. Given that angle BFC = 58°. Angle BXG = 48° and angle CBF 22 Find () 2BGX (iv) BCG (i) 2BGF (iv) ZBFG (ii) BCF H EE 58 48° D C 220 A- Figure 5.74​

Answers

The unknown angles in the cyclic quadrilateral is as follows:

∠BGX = 74° (sum of angles in a triangle)

∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 100°(sum of angles in a triangle)

∠BCG  = 26°

∠BFG = 22°

Cyclic Quadrilateral

A cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.

Let's find the missing angles as follows:

∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)

∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)

∠BCG = 100 - 74 = 26°

∠BFG ≅ CBF = 22°(alternate angles)

learn more on angles here: https://brainly.com/question/19430381

PLEASE HELP ME
A triangle has one angle that measures 29 degrees, one angle that measures 131 degrees, and one angle that measures 20 degrees.

What kind of triangle is it?

Answers

Answer:

obtuse angled triangle

Step-by-step explanation:

one angle is more than 90

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