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Vinvika [58]
3 years ago
10

How would you integrate (2x-1)(6x+5)? is there a product rule for integration?

Mathematics
1 answer:
NikAS [45]3 years ago
4 0
No, there is not a product rule for integration.

To integrate (2x - 1)(6x + 5), start expanding the product:

(2x - 1)(6x + 5) = 12x^2 + 10x - 6x - 5 = 12x^2 + 4x - 5.

Now, I guess you know how to integrate that:

∫ (12x^2 + 4x - 5) dx = ∫12x^2 dx + ∫4x dx + ∫ (-5) dx =  4x^3 + 2x^2 - 5x + C

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Using multiplication when multiplied by 9 will give the answer 2385
Evgen [1.6K]
265 is the number when multiplied by 9 will give you 2385.

This can be obtained by dividing 2385 by 9.
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The Census Bureau says that the 10 most common names in the United States are (in order) Smith, Johnson, Williams, Jones, Brown,
scZoUnD [109]
Using binomial distribution where success is the appearing of any of the top 10 most common names, thus probability of success (p) is 9.6% = 0.096 and the probability of failure = 1 - 0.096 = 0.904. Number of trials is 11.
Binomial distribution probability is given by P(x) = nCx (p)^x (q)^(n - x)
Probability that none of the top 10 most common names appears is P(0) = 11C0 (0.096)^0 (0.904)^(11 - 0) = (0.904)^11 = 0.3295
Thus, the probability that at least one of the 10 most common names appear is 1 - 0.3295 = 0.6705

Therefore, I will be supprised that none of the names of the authors were among the 10 most common names given that the probability that at least one of the names appear is 67%.
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3 years ago
160% of what number is 50 Provide an exact fraction answer
Artist 52 [7]

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31.25

Step-by-step explanation:

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Which is greater 5/6 or 2/3
geniusboy [140]
5/6 because 5/6=0.80 and 2/3=0.66
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Solve the system:<br> -5x+6y=55<br> 4x+3y=34<br><br> Write down your solution.
svetlana [45]

Answer:

(1, 10)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-5x + 6y = 55

4x + 3y = 34

<u>Step 2: Rewrite Systems</u>

4x + 3y = 34

  1. Multiply everything by -2:                    -8x - 6y = -68

<u>Step 3: Redefine Systems</u>

-5x + 6y = 55

-8x - 6y = -68

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Combine equations:                    -13x = -13
  2. Divide -13 on both sides:             x = 1

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    4x + 3y = 34
  2. Substitute in <em>x</em>:                       4(1) + 3y = 34
  3. Multiply:                                  4 + 3y = 34
  4. Isolate <em>y</em> term:                        3y = 30
  5. Isolate <em>y</em>:                                 y = 10
4 0
2 years ago
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