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Scrat [10]
3 years ago
14

Is 6.5892 rational or irrational

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer:no it is not

Step-by-step explanation: A rational number is a repeating number. This is a terminating number.

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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
What are the factors of 24?
hoa [83]
Factors of 24. 
 
1, 2, 3, 4, 6, 8, 12, and 24<span>. </span>




6 0
3 years ago
Read 2 more answers
The volume of a solid right pyramid with a square base is V units3 and the length of the base edge is y units.
Evgen [1.6K]

Answer:

Height of the pyramid = 3v/y² units

Step-by-step explanation:

We are given;

- The volume of a solid right pyramid with a square base = v units³

- The length of the base edge = y units

The formula for volume of a pyramid is given as;

V = ⅓ x base area x height.

Since the base is square, we will use the formula for square area which is A = side × side.

Thus, v = ⅓ × (y × y) × height

Making height the subject, we have;

Height = 3v/y²

height of the pyramid would be given by the expression 3v/y² units

5 0
2 years ago
An animator draws 120 cels to make a 5 seconds of a 12-second sequence of a film. How many more cels does she need to draw to co
s344n2d4d5 [400]

Answer:

She needs 168 more cels to draw to complete the film sequence

Step-by-step explanation:

120 Cells in 5 seconds

You want 12 seconds.

Ratio (Proportion)

120:5

Lets find the "unit rate" of the proportion.

120/5 = 24

So the unit ratio is 24:1

Now, we can deduce to it being:

120:5

240:10

264:11

288:12

She has 120 done.

So, 288-120 = 168.

She needs 168 more cels to draw to complete the film sequence

4 0
2 years ago
Hey could someone help me with this question immediately!! i’ll mark brainiest if it’s correct.
vesna_86 [32]

Answer:

10/3

Step-by-step explanation:

The answer would be 10/3. Please mark brainliest!

3 0
2 years ago
Read 2 more answers
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