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Ne4ueva [31]
3 years ago
9

Perform the indicated operation to write given polynomial in standard form: (2x^3 − 6x^2 − 7x − 2) +(x^3 +x^2 +6x − 12)

Mathematics
1 answer:
Kipish [7]3 years ago
3 0

Answer:

\left(2x^3-6x^2-7x-2\right)+\left(x^3+x^2+6x-12\right)=3x^3-5x^2-x-14

Step-by-step explanation:

To add the polynomials

Remove parentheses:

\left(2x^3-6x^2-7x-2\right)+\left(x^3+x^2+6x-12\right)=2x^3-6x^2-7x-2+x^3+x^2+6x-12

Group like terms:

=2x^3+x^3-6x^2+x^2-7x+6x-2-12

Add similar elements:

=3x^3-6x^2+x^2-7x+6x-2-12\\=3x^3-5x^2-7x+6x-2-12\\=3x^3-5x^2-x-2-12\\=3x^3-5x^2-x-14

The Standard Form for writing down a polynomial is to put the terms with the highest degree first,its term of 2nd highest is 2nd etc..

In our case the standard form is  

\left(2x^3-6x^2-7x-2\right)+\left(x^3+x^2+6x-12\right)=3x^3-5x^2-x-14

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Everett is rolling a block with the numbers 1, 2, 3, 4, 5, and 6 on it. Finley is drawing one disk from a basket of three disks:
ioda

Option A:

The probability that Everett and Finley end up with an even number and a blue disk is \frac{1}{6}.

Solution:

Given data:

Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}

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Total number of numbers = 6

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$P\text{(Even number)} =\frac{3}{6}$

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$P\text{(Even number and Blue disk)} =\frac{3}{6}\times\frac{1}{3}$

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Divide numerator and denominator by the common factor 3.

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Option A is the correct answer.

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3 0
3 years ago
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Answer: 84°

Step-by-step explanation:

Pardon my drawing, I know it;s not prefect, and I'm not sure how to draw a figure on Brainly, but this is the best I can do. For this problem, it is easier to draw it out so you can see that the angles look like. Just pretend the lines are filled in, and this is a perfect parallelogram.

       

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      /                                  /

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B /_______________/ D

As you can see, the angles given in the problem gives us a parallelogram. Since we know m∠ABD is 84° and m∠BAC is 37°, we know that m∠ACD is 84°. If you draw diagonal lines, ∠ABD and ∠ACD are vertical angles. Vertical angles are congruent. Therefore, m∠ACD is 84°.

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Step-by-step explanation:

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