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aalyn [17]
2 years ago
12

Find the average rate of change of the exponential equation from x = 3 to x = 6

Mathematics
2 answers:
pishuonlain [190]2 years ago
8 0

Answer:

4.55

Step-by-step explanation:

Average Rate of Change formula :

A(x) = \frac{f(b)-f(a)}{b-a}

============================================================

Solving :

⇒ A(x) = \frac{f(6)-f(3)}{6-3}

⇒ A(x) = 22.466436 - 8.81340423 / 3

⇒ A(x) = 13.6530318/3

⇒ A(x) = 4.55 (rounded to 2 decimal places)

IrinaK [193]2 years ago
8 0

Find the average rate of change of the exponential equation from x = 3 to x = 6

f(x) = 2x^1.35

  • Average = 22.466436 - 8.81340423 / 3

  • Average = 13.6530318/3

  • Average = 4.55 (rounded to 2 decimal)

i hope it helps

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The answer to your question is a = 40, b = 5/8

Step-by-step explanation:

Data

  ab = 25

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Process

1.- Use the law log of a quotient

               log₄ a/b = 3

2.- Convert the log to an exponent

                   a/b = 4³

                   a/b = 64      Equation l

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3.- Solve equation l for a

                  a = 64b

4.- Substitute in equation ll

                   (64b)b = 25

-Simplify

                    64b² = 25

-Solve for b

                         b² = 25/64

                         b = 5/8

5.- Substitute the value of b to find a

                     a = 64(5/8)

-Simplification

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3 years ago
Read 2 more answers
etermine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 3 2 x
nata0808 [166]

Answer:

(32/15, -2/5)

Step-by-step explanation:

(1) ³/₂x   -    2y =  4

(2)   x  +    ⅓y =  2

(3)  3x   -     4y =  8              Multiplied (1) by 2

(4)  3x  +       y =  6              Multiplied (2) by 3

                  5y = -2              Subtracted (3) from (4)

(5)                 y = -⅖             Divided each side by 5

       x + ⅓(-⅖) =  2              Substituted (5) into (2)

       x  -  ²/₁₅    =  2

       x              =  2 + ²/₁₅     Added ²/₁₅ to each side

      x              = 32/15

The system of equations has only one solution: (32/15, -2/5).

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3 years ago
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