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fiasKO [112]
3 years ago
15

How to write function in standard form

%20%2B%201%29%28x%20-%201%29" id="TexFormula1" title="f(x) = (2 \times + 1)(x + 1)(x - 1)" alt="f(x) = (2 \times + 1)(x + 1)(x - 1)" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
mafiozo [28]3 years ago
5 0
Multiply it out.
  f(x) = (2x +1)(x² -1) . . . . . . recognize the factoring of the difference of squares
  f(x) = 2x³ +x² -2x -1
HACTEHA [7]3 years ago
5 0
The standard form:
f(x)=ax^3+bx^2+cx+d
Use:(a-b)(a+b)=a^2-b^2\\\\(a+b)(c+d)=ab+ad+bc+bd\\\\a^n\cdot a^m=a^{n+m}
f(x)=(2x+1)(x+1)(x-1)\\\\f(x)=(2x+1)(x^2-1^2)\\\\f(x)=(2x+1)(x^2-1)\\\\f(x)=2x\cdot x^2-2x\cdot1+1\cdotx^2-1\cdot1\\\\f(x)=2x^3-2x+x^2-1\\\\\boxed{f(x)=2x^3+x^2-2x-1}
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Please help me i need it 70 pointss
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Suppose a population has a doubling time of 25 years. By what factor will it grow in 25 years? 50 years? In 100 years?
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2,4, and 8.

Step-by-step explanation:

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Topic Solving Percent Problems
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3 years ago
An explained answer
Sholpan [36]

Answer:

  225

Step-by-step explanation:

When you fill in values of n, you find the series is an arithmetic series of 15 terms with a first term of 1 and a common difference of 2. The formula for the sum of such a series can be used.

<h3>Terms</h3>

Looking at terms of the series for different values of n, we find ...

  for n = 1: 2(1) -1 = 1 . . . . . the first term

  for n = 2: 2(2) -1 = 3 . . . . the second term; differs by 3-1=2

  for n = 15: 2(15) -1 = 29 . . . . the last of the 15 terms

<h3>Sum</h3>

The sum of the terms of an arithmetic series is the product of the average term and the number of terms. The average term is the average of the first and last terms.

  Sum = (1 +29)/2 × 15 . . . . . . average term × number of terms

  Sum = 15 × 15 = 225

The sum of the series is 225.

__

<em>Additional comment</em>

Based on the first term (a1), the common difference (d), and the number of terms (n), the sum can also be written ...

  S = (2×a1 +d(n -1))(n/2)

For the parameters of this series, the sum is ...

  S = (2(1) +2(15 -1))(15/2) = 30(15/2) = 225

5 0
1 year ago
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