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kupik [55]
3 years ago
6

factor the polynomial. 17xy^4 51x^2y^3 a) 7xy (10y^4 44xy^2) b) 17xy^3 (y 3x) c) 17xy (1 1/3xy^2) d) xy (17 51xy^2)

Mathematics
1 answer:
Gnom [1K]3 years ago
6 0
17x y^4 + 51x^2 y^3 = 17x y^3(y + 3x)
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nirvana33 [79]
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m-1/6-4m+5/6

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-3m+4/6 <== simplified expression

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If a problem is 8(2x+4) = 2(1x+3) is the first step done of PEMDAS for THIS SPECIFIC PROBLEM parentheses or multiplication?
garri49 [273]

The first step is the parenthesis

<h3>How to determine the first step?</h3>

The equation is given as:

8(2x+4) = 2(1x+3)

Using PEMDAS, the first step is to open the brackets by multiplication.

So, we have:

16x + 32 = 2x + 6

Hence, the first step is the parenthesis

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2 years ago
Which numbers belong to the solution set of the inequality?
grandymaker [24]

Answer: B

Step-by-step explanation:

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3 years ago
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3 years ago
Y=sqrt(x)(8x-5) find the derivative
garri49 [273]

Answer:

\displaystyle y' = \frac{24x - 5}{2\sqrt{x}}

General Formulas and Concepts:  <u> </u>

<u>Algebra I</u>  

  • Exponentials [Fractions] - Are radicals
  • Exponential Rule [Rewrite]: \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>  

Derivatives  

Derivative Notation  

Derivative of a constant is 0  

Basic Power Rule:  

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Product Rule: \displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle y = \sqrt{x}(8x - 5)

<u>Step 2: Differentiate</u>

\displaystyle f(x) = \sqrt{x}, \ g(x) = (8x - 5)

  1. Product Rule:                                                                                                  \displaystyle y' = \frac{d}{dx}[\sqrt{x}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)]
  2. Rewrite:                                                                                                           \displaystyle y' = \frac{d}{dx}[x^{\frac{1}{2}}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)]
  3. Basic Power Rule:                                                                                          \displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8x^{1 - 1}
  4. Simplify:                                                                                                          \displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8x^{0}
  5. Rewrite:                                                                                                           \displaystyle y' = \frac{1}{2x^{\frac{1}{2}}} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8
  6. Multiply:                                                                                                           \displaystyle y' = \frac{8x + 5}{2x^{\frac{1}{2}}} + 8\sqrt{x}
  7. Rewrite:                                                                                                           \displaystyle y' = \frac{8x + 5}{2\sqrt{x}} + 8\sqrt{x}
  8. Add/Rewrite:                                                                                                   \displaystyle y' = \frac{24x - 5}{2\sqrt{x}}
3 0
3 years ago
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