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Hatshy [7]
3 years ago
10

Find all roots: x^3 + 7x^2 + 12x = 0 Show all work and check your answer.

Mathematics
1 answer:
enot [183]3 years ago
3 0

Answer:

x=0,x=-4,x=-3

Step-by-step explanation:

The given equation is

x^3 + 7x^2 + 12x = 0

Factoring by x:

(x^2 + 7x + 12)x = 0

One of the root is x=0. Let's solve the parentheses.

Expanding the trinomial

x^2 + 4x+3x + 12=0

Factoring

x(x + 4)+3(x + 4)=0

Factoring

(x + 4)(x+3)=0

This will give us the two remaining roots

x=-4,x=-3

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Please Help!!!!! I need the answer for my quiz!!!!
kondaur [170]

Answer:

I think its 3 1/4

Step-by-step explanation:

9 3/4 ÷ 3 = 3 1/4

Srry if im wrong

3 0
3 years ago
Read 2 more answers
A belt and a pair of pants cost $490 altogether. A bag costs twice as much
m_a_m_a [10]

Answer:

$196

Step-by-step explanation:

Lets assume,

cost of a belt = 'x'

cost of a pair of pants = 'y'

Now, According to the question;

  1. x + y = 490;
  2. cost of a bag = twice the cost of belt = 2x;
  3. cost of a pair of pants = twice the cost of bag

    ⇒ y = 2×2x ⇔ 4x

hence, by subtituting the values in equation' we get;

⇒ x + 4x = 490

⇒ 5x = 490

⇒ x = 98

So, the difference between the cost of the pair of pants and the bag ;

⇒ y - 2x

⇒ 4x - 2x

⇒ 2x = 2×98 = 196.

6 0
3 years ago
Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connec
leonid [27]
The expression for the number of segments drawn out of the n number of points in the circle is,
                                n² / 2 - n / 2
Substituting directly to the expression the number of points, n, which is equal to 8,
                                8² / 2  - 8 / 2 = 28
Thus, there are 28 segments that can be drawn from the points. 
5 0
3 years ago
The set of all Real numbers between 4 and 7 including 4
erik [133]
4,5,6,7 is your answer
8 0
3 years ago
4. Stella says the equation x^2−8x+y^2+2y=5 has a center of (4,−1) and a radius of 5. Is she correct? Why or why not?
Ostrovityanka [42]
<h2>Stella is correct about center and wrong about radius      </h2>

Step-by-step explanation:

Equation of circle with (h,k) as center and radius r is given by,

          (x-h)²+(y-k)² = r²

Here equation is

          x²−8x+y²+2y=5

Changing in to (x-h)²+(y-k)² = r² form

           x²−8x + 16 - 16 +y²+2y+1 - 1=5  

           (x-4)² - 16 + (y+1)² -1 = 5

           (x-4)²  + (y+1)²  = 22

           (x-4)²  + (y+1)²  = 4.69²

           Center is (4,-1) and radius is 4.69

Stella is correct about center and wrong about radius            

8 0
3 years ago
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