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CaHeK987 [17]
3 years ago
10

PLEASE HELP!

Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0
X=2, x=-1  so the answer choice would be the third one.
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Which 2 values of x are roots of the polynomial below?
Alexxx [7]

Given:

The given polynomial is:

f(x)= 3x^{2}-3x+1

To find the roots of the given polynomial.

To find the roots we have to take f(x) = 0

So,

3x^{2} -3x+1 = 0

Formula

By quadratic formula, the root of the equation ax^{2} +bx+c = 0 is,

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a} and \frac{-b-\sqrt{b^{2} -4ac} }{2a}

Now,

Putting, a=3, b=-3, c=1 we get,

x = \frac{3+\sqrt{3^{2}-4(3)(1) } }{(2)(3)} and \frac{3-\sqrt{3^{2}-4(3)(1) } }{(2)(3)}

x = \frac{3+\sqrt{-3} }{6} and x=\frac{3-\sqrt{-3} }{6}

Hence,

The values of the roots of the given polynomial arex=\frac{3+\sqrt{-3} }{6} and x=\frac{3-\sqrt{-3} }{6}

Hence, Option A and F are the correct answer.

5 0
3 years ago
Question 3 options:
Grace [21]

Answer:

90

Step-by-step explanation:

Given: Measure of one side of equilateral triangle = 9+3x

Measure of another side of equilateral triangle = 5x-5

In equilateral triangle all three sides are equal in length.Therefore,

5x-5 =9+3x

5x-3x=9+5

2x=14

x=\frac{14}{2} =7

On substituting the value of x in side of equilateral triangle,

One side of equilateral triangle = 5x-5=\left (5(7)-5 \right )=(35-5)=30

Perimeter of equilateral triangle = 3 ( length of one side) ........( given)

perimeter of equilateral triangle = 3\times30 = 90.

5 0
3 years ago
On average 20% of the calculators produced in a factory are faulty. Samples of 10 calculators are to be selected at a random eac
enyata [817]

The probability that in any one sample, two calculators or less will be faulty is; 100%

<h3>Probability and Random sampling</h3>

According to the task content;

  • A statement of fact indicates that; 20% of the calculators produced in a factory are faulty.

Hence, it follows that, when a sample of 10 calculators is selected randomly each day, 2 of the calculators are faulty by proportion.

Ultimately, the probability that in any one sample, two calculators or less will be faulty is; 100%.

Read more on probability and Random sampling;

brainly.com/question/25403659

3 0
2 years ago
If you answer both of these i will give <br> Brainliest ( if thats how you spell it )
Rufina [12.5K]

Answer:

first one:4/10

second one: 8/24

Step-by-step explanation:

i think this works but a hundred 100% sure though.

here you go hope its correct.

4 0
3 years ago
How do u decompose 4/5
PilotLPTM [1.2K]
You mean simplify? 

You can't simplify it anymore because the numerator is an even number and the denominator odd..

But,

\frac{4}{5} = 0.8

And equivalent fraction:

Multiply 2 from the numerator and denominator

\frac{4~multiply~by~2}{5~multiply~by~2} =  \frac{8}{10}
5 0
3 years ago
Read 2 more answers
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