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DIA [1.3K]
2 years ago
12

What is the product of 2x+3 and 4x² - 5x+6?

Mathematics
1 answer:
Pie2 years ago
5 0

Answer:

none

Step-by-step explanation:

(2x+3)(4x^2-5x+6)

factor over

8x^3-10x^2+12x+12x^2-15x+18

combine like terms

8x^3 + 2x^2 - 3x + 18

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A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
Bernard solved the equation 5x+(-4)=6x+4 using algebra tiles.Which explains why Bernard added 5 negative x-tiles to both sides i
Volgvan
5x+(-4)-5x=6x+4-5x
-4=x+4
x=-8

To get rid of 5x on the left side.
6 0
3 years ago
Read 2 more answers
He answer to all of the questions please
AlladinOne [14]
I think it's C,But I'm not sure
5 0
3 years ago
PLEASE PLEASE HELP ME!!
Ivenika [448]

Answer:

A-

X=11

(the solution is down)

B-

x+x+1+x+2=36

3x+3=36

3x=36-3

3x=33

x=33/3

x=11

------------

X=11

X+1=12

X+2=13

11+12+13=36

8 0
3 years ago
What fraction of two pounds is fifty pence?
EastWind [94]
1/4

There are 100 pence in a pound, so 2 pounds is 200 pence. 50 is 1/4 of 200.
5 0
3 years ago
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