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m_a_m_a [10]
3 years ago
11

Simplify (2x + 3) (3x^2 + x + 1)

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

6x^3 + 8x + 9x^2 + 3

Step-by-step explanation:

(2x + 3) (3x^2 + x + 1)

6x^3 + 3x + 2x + 9x^2 + 3x +3

6x^3 + 5x + 3x + 9x^2 + 3

6x^3 + 8x + 9x^2 + 3

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If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

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

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
Can someone help pls
Arlecino [84]

Answer:

I think it may be D

Step-by-step explanation:

A coefficient is the number being multiplied by the variable. A variable is a letter that holds an number like  w x 7=?  W=6. And a constant is the number by itself. In this expression 5000 is the constant 20 is the coefficient and teh variable is w so I think it is D

5 0
2 years ago
The lowest number is 11 the range is 13 and the median is 17 what are the 3 numbers
11Alexandr11 [23.1K]

Answer:

11, 17, and 28.

Step-by-step explanation:

x, y, z\\

Lowest number is x

Median is y

Highest number is z

x=11\\y=17\\\\z-x=17\\z-11=17\\z-11+11=17+11\\z=28\\\\x=11\\y=17\\z=28\\\\11, 17, 28

3 0
3 years ago
3. Kurt's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that sh
ozzi

The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.

Step-by-step explanation:

Given,

Distance covered by Kurt's car = 23 miles per gallon of gasoline

Kurt fills up tank of his car with g gallons.

Number of gallons in car's tank = g gallons

Distance covered by g gallons = D = Distance covered by one gallon * Number of gallons

D = 23*g

D = 23g

The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.

Keywords: distance, multiplication

Learn more about multiplication at:

  • brainly.com/question/101683
  • brainly.com/question/103144

#LearnwithBrainly

3 0
3 years ago
Simplify 2 to the power of 6
asambeis [7]
64

Step by step explanation
3 0
2 years ago
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