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Black_prince [1.1K]
3 years ago
8

Which of the following statements about Pascal's Triangle are true?

Mathematics
1 answer:
Anarel [89]3 years ago
6 0

Answer:

1. It is symmetric

2. The second diagonal is the counting numbers

3. Any number in the triangle is the sum of the two numbers directly above it

Step-by-step explanation:

1. The first diagonal shows the counting numbers.

2. The sums of the rows give the powers of 2.

3. Each row gives the digits of the powers of 11

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If you are reading this please help!!!!
Soloha48 [4]

Given:

1.  -3 x^{2}\left(4 x^{3}-7\right)\\$2. $(6 x-5)(2 x+3)$\\3. $(3 x-1)\left(x^{2}+5 x-2\right)$

To find:

The product of the polynomials.

Solution:

1. -3 x^{2}\left(4 x^{3}-7\right) =-3 x^{2}(4 x^{3}) -3 x^{2}(-7)

Multiply the numerical coefficient and add the powers of x.

                          =-12 x^{5}+21 x^{2}

2. (6 x-5)(2 x+3)=6 x(2 x+3)-5(2x+3)

Multiply each term of first polynomial with each term of 2nd polynomial.

Multiply the numerical coefficient and add the powers of x.

                              =12 x^2+18x-10 x-15

                              =12 x^2+8x-15

3. (3 x-1)\left(x^{2}+5 x-2\right)=3 x(x^{2}+5 x-2)-1(x^{2}+5 x-2)

Multiply each term of first polynomial with each term of 2nd polynomial.

Multiply the numerical coefficient and add the powers of x.

                                      =3x^{3}+15 x^2-6x-x^{2}-5 x+2

Add or subtract like terms together.

                                      =3x^{3}+14 x^2-11x+2

The answer for multiplying polynomials:

1. -12 x^{5}+21 x^{2}

2. \  12 x^2+8x-15

3. \ 3x^{3}+14 x^2-11x+2

3 0
3 years ago
X-1 is a factor of 4 + 5x2 - 4x2 - 8x+ 6.<br> O True<br> False
Marizza181 [45]

Answer:

False

Step-by-step explanation:

Bc I literally just took that quiz and it's false

6 0
3 years ago
Read 2 more answers
► Find the percent change and tell whether it is a percent increase or a
Jlenok [28]

Answer:

1 Original amount: 20

End amount: 15

<h3>(20 - 15)/20 x 100 = (5/20) x 100 = 25% decrease</h3>

2 Original amount: 30

End amount: 45

<h3>(45 - 30)/30 x 100 = (15/30) x 100 = 50% increase </h3>

3 Original amount: 625

End amount: 550

<h3>550/625 =550 ÷ 625 =0.88</h3><h3>0.88 =0.88 × 100/100 =(0.88 × 100)/100 =88/100 =88% decrease</h3>

4 Original amount: 320

End amount: 112

<h3>(112-320):320x100 =</h3><h3>100 =(112:320-1)x100 =</h3><h3>100 =35-100 = -65% decrease</h3>

5 Original amount: 165

End amount: 222.75

<h3>165/222.75 =165 ÷ 222.75 ≈0.740740740740741</h3><h3>0.740740740740741 =0.740740740740741 × 100/100 =(0.740740740740741 × 100)/100 ≈74.074074074074/100 =74.074074074074% ≈74.07% Increase </h3>

6 Original amount: 326

End amount: 423.80

<h3>(423.8-326):326x100 =</h3><h3>100 =(423.8:326-1)x100 =</h3><h3>100 =130-100 = 30% Increase </h3>

7 Original amount: 27

End amount: 38.61

<h3>(38.61-27):27x100 =</h3><h3>100 =(38.61:27-1)x100 =</h3><h3>100 =143-100 = 43% Increase</h3>

8 Original amount: 60

End amount: 70.02

<h3>(70.02-60):60x100 =</h3><h3>100 =(70.02:60-1)x100 =</h3><h3>100 =116.7-100 = 16.7% Increase</h3>

7 0
3 years ago
What conclusion can be made when r, the correlation coefficient between two variables, is 0?
IgorLugansk [536]
The correlation coefficient between two variables, r, is always going to be between -1 and 1.

- If the correlation coefficient is 0, means that there is no strong correlation relationship in one direction or the other direction. 
- If the correlation coefficient is -1, means that these two variables move in opposite directions.
- If the correlation coefficient is 1, means that these two variables move in the same direction.
6 0
3 years ago
Select the TWO true statements. A. Two squares with the same side lengths are always congruent. B. Two rectangles with the same
Anastasy [175]

Answer:

A and C

Step-by-step explanation:

This would be the correct answers because they are congruent and dilated from each other

3 0
4 years ago
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