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Anuta_ua [19.1K]
3 years ago
10

Does anyone know this?

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0

Answer:

8/21

Step-by-step explanation:

-1/3 + 5/7=1×7 =-7/21 +15/21

- × -

3. 7

-7/21 + 15/21= -7+15 = 8/21

-----

21

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​Find all roots: x^3 + 7x^2 + 12x = 0 <br> Show all work and check your answer.
Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

<u>Solution:</u>

We have been given a cubic polynomial.

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

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

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

x\left(x^{2}+7 x+12\right)=0   ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

x^{2}+7 x+12=0

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}

<em><u>Therefore, the two roots are:</u></em>

\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}

And,

\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0
3 years ago
The product of 5 and the cube of a number increased by the difference of 6 and x
Kobotan [32]

Answer:

A = (5 x Z³) + (6 - X)

Step-by-step explanation:

given the information provided, this is the equation you're looking for

8 0
3 years ago
If the diagonals first a rhombus are 10 and 24, find the area of the rhombus.
ioda

Answer:

240

Step-by-step explanation:

you multiply to get an area for a shape

8 0
3 years ago
Read 2 more answers
Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is
Art [367]

Answer:

Peter's number is 36.

Step-by-step explanation:

If you subtratct 13 from 36, you get 23.

If you multiply that times -3, you get -69.

(The way I got 23 was by dividing -69 and -3)

I hope this helped you even though it's late.

6 0
3 years ago
What is the probability that a randomly selected person is on the swim team? Express the probability as a percent rounded to the
frez [133]
<span>What is the probability that a randomly selected person is on the swim team?
28 out of 67 people are on the swim team
so that's 28/67
</span><span>41.7910448% round to the nearest tenth 
41.8% is the answer. 

Hope this helps, Have a nice day!</span>
5 0
3 years ago
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