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telo118 [61]
3 years ago
8

Factor 2m^3-12m^2+18m completely

Mathematics
2 answers:
Nina [5.8K]3 years ago
6 0

Answer:

The answer is A.

Step-by-step explanation:

Firstly, you have to take out the common terms for this expression. In this expression, the common terms ard 2 and m :

2 {m}^{3}  - 12 {m}^{2}  + 18m

= 2( {m}^{3}  - 6 {m}^{2}  + 9m)

= 2m( {m}^{2}  - 6m + 9)

Next you have to factorise the brackets :

{m}^{2}  - 6m + 9

=  {m}^{2}  - 3m - 3m + 9

= m(m - 3) - 3(m - 3)

= (m - 3)(m - 3)

=  {(m - 3)}^{2}

So the final answer is :

2m {(m - 2)}^{2}

oee [108]3 years ago
3 0

Answer:

<h3>ANSWER A is correct.</h3>

your answer is attached to the picture.

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>

<em>brainliest</em><em> </em><em>appreciated</em>

<em>good</em><em> </em><em>luck</em><em>!</em><em> </em><em>have</em><em> </em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>

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Write the inequality represented by the graph below.
Ipatiy [6.2K]

Answer:

y > -x + 3

Step-by-step explanation:

find the slope and y-intercept so you can create a linear equation:

y = mx + b ;   m = slope and  b = y-intercept

slope (m) = (3-0) / (0-3)

m = 3/-3 or -1

we can see the y-intercept by looking at the graph, it is 3

y > -x + 3

6 0
2 years ago
I need help with this pls
Alexxx [7]

Hello!

<u>What is an x-intercept</u>:

 ⇒ <em>value of x</em> when the <em>value of y</em> equals '0'

       8x + 5y=25\\8x+5(0)=25\\8x=25\\\\x=\dfrac{25}{8}

  x-intercept is <u>25/8</u>

<u></u>

<u></u>

<u>What is a y-intercept:</u>

 ⇒ <em>value of y</em> when the <em>value of x</em> equals '0'

       8x+5y=25\\8(0)+5y=25\\5y=25\\y=5

   y-intercept is <u>5</u>

<u></u>

Hope that helps!

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5 0
1 year ago
The cost of health insurance is $1,200 per year. The cost of an operation for a dramatic injury is $500,000. The chances of some
SIZIF [17.4K]

Answer:

yes. The cost of the insurance is less than the probability cost of the operation

Step-by-step explanation:

yes. The cost of the insurance is less than the probability cost of the operation

The cost of health insurance = $1200

Cost of dramatic injury operation= $500,000

chances of need of operation= 47.3% over a 20 years period

the amount of pay insurance after 20 years= 20\times 1200= 240,00

probable  of cost operation= 0.473*500,00= $236,500

clearly the cost of insurance is less than the probable  cost of operation.

5 0
3 years ago
Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink a
pychu [463]

Answer:

113.04 cubic inches.

Step-by-step explanation:

We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.

To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.

\text{Volume of cylinder}=\pi r^2h, where,

r = Radius of cylinder,

h = Height of cylinder.

First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.

\text{Radius}=\frac{2\text{ inches}}{2}

\text{Radius}=1\text{ inch}

Upon substituting our given values in volume formula we will get,

\text{Volume of can}=\pi*\text{(1 inch)}^2*\text{6 inch}  

\text{Volume of can}=3.14*\text{(1 inch)}^2*\text{6 inch}

\text{Volume of can}=18.84\text{ inch}^3

Therefore, one can of soft drink contains 18.84 cubic inches of drink.

To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.

\text{Volume of 6 cans}=6\times 18.84\text{ inch}^3

\text{Volume of 6 cans}=113.04\text{ inch}^3  

Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.

4 0
3 years ago
Which phrase can be represented by an equation? twice as much as a number 12 less than a number half of a number is 15 the diffe
jeka57 [31]

Answer:

Half of a number is 15

Step-by-step explanation:

First of all, add commas between each option so it's easier to read I had a hard time figuring out what the options were because of this.

An equation is a statement that the values of two mathematical expressions are equal. An expression is a collection of symbols that jointly express a quantity. This means there has to be an equal sign when the phrases are put into numerical form.

Twice as much as a number:              2X

12 less than a number:                        X - 12

Half of a number is 15:                        X/2 = 15

The difference of 20 and a number: 20 - X

As you can see, only one of these phrases is an equation by definition, and that is X/2 = 15, or half of a number is 15. That's because it's the only one that values two expressions as equal.

4 0
3 years ago
Read 2 more answers
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