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aleksklad [387]
3 years ago
12

Simplify

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer: (A)=10x5−29x4+33x3−18x2−18x+27

Step-by-step explanation:

How i solved it was by simplifying each answer there was available and (A) was the most compatiable answer!

=(2x+−3)(5x4+−7x3+6x2+−9)

=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)

=10x5−14x4+12x3−18x−15x4+21x3−18x2+27

=10x5−29x4+33x3−18x2−18x+27

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Which sequence is modeled by the graph below?
mariarad [96]

Answer:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Step-by-step explanation:

From inspection of the graph, the given points are:

  • (2, 9)
  • (3, 3)
  • (4, 1)

If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.

<u>General form</u> of a geometric sequence:

 a_n=ar^{n-1}

where:

  • a is the first term
  • r is the common ratio
  • a_n is the nth term

Rewrite the given points as terms of the sequence:

  • (2, 9)  ⇒  a₂ = 9
  • (3, 3)  ⇒  a₃ = 3
  • (4, 1)  ⇒  a₄ = 1

To find the common ratio r, divide consecutive terms:

\implies r=\dfrac{a_3}{a_2}=\dfrac{3}{9}=\dfrac{1}{3}

Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:

\implies a_2=9

\implies a\left(\dfrac{1}{3}\right)^{2-1}=9

\implies \dfrac{1}{3}a=9

\implies a=27

Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Learn more about geometric sequences here:

brainly.com/question/25398220

brainly.com/question/27783194

5 0
1 year ago
Read 2 more answers
Technology is also known as Applied Science because it involves "using" science to make something useful for mankind.
goblinko [34]

Answer:

true

Step-by-step explanation:

The terms 'technology' and 'applied science' will be taken here as synonymous, although neither is adequate: in fact, 'technology' sug- gests the study of practical arts rather than a scientific discipline, and 'applied science' suggests the application of scientific ideas rather than that of the scientific method

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3 years ago
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The current value Of a investment is 25% More than its initial value the increase in value is 10million what was the initial val
azamat

Answer:

50 million

Step-by-step explanation:

current value: c

initial value : i

c = 1.2 × i

x - i = 10

10 + i = 1.2 × i

0.2 ×i = 10

i = 50

8 0
3 years ago
An annoyed teacher asked her student to do the following: (1) Start with the number 12. Go to step (2). (2) Take the negative of
dedylja [7]

Answer:

Step-by-step explanation:

//  12

// -12

//-11

//88

8 0
2 years ago
The base of a rectangular fish tank measures 18 inches long by 10 inches wide. If it is filled with 1,080 cubic inches of water,
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V = 18 x 8 x 12 = 1728 cm3 = 1728 ml = 1.729 liters
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