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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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Whats is the answer to 6×4?
Kazeer [188]
6x4=24

Multiplication is just repeating addition! For example, you can use repetitive (repeating) addition to solve 6x4.

6+6+6+6=24

I added 6 4 times to get to 24. I added it four times because you are multiplying 6 by 4! I am adding 6 (the first number) 4 times (the second number)!

Other examples:

1 x 7=7 because 1+1+1+1+1+1+1=7

2x2=4 because 2+2=4

I hope this helped! :)
6 0
4 years ago
If you answer both I will give Brainliest they have to be correct.Good luck
svetlana [45]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What numbers do 9 12 6 3 and 5 go into
KiRa [710]
It wont be a perfect number
6 0
3 years ago
Write the equation for the area of a triangle with a height that is 5 more than twice its base using one variable. Please help m
zysi [14]

Answer:

A=b(b+\frac{5}{2} )

Step-by-step explanation:

hey there!!!

we know already that the area of a triangle is given as

A=\frac{1}{2}b *h

where b= base

and h= heigth

Given that the height is 5 times more than twice it base

let h= 2b+5

Now we substitute h=2b+5 in the area of the triangle

A=\frac{1}{2}b * (2b+5)

A= \frac{2b^2}{2} +\frac{5b}{2}

A= b^2+\frac{5b}{2}\\\\A=b(b+\frac{5}{2} )

7 0
3 years ago
A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars,
lesantik [10]

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = x

Let number of lower deck seats = y

Let number of upper deck seats = z

As per question statement:

x+y+z=10000 ...... (1)

Cost for box seat = $10

Cost for x box seats = 10x

Cost for lower deck seat = $8

Cost for y lower deck seats = 8y

Cost for lower deck seat = $5

Cost for z lower deck seats = 5z

As per question statement:

10x+8y+5z=70000 ..... (2)

z = 4x ..... (3)

Putting value of y in (1) and (2):

x+y+4x=10000\\\Rightarrow 5x+y=10000 ....... (4)

10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)

8 \times (4) - (5):

10x =10000

\Rightarrow x = 1000

By (3):

z = 4000

Now, by equation (1):

y = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

6 0
3 years ago
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