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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 ratio of boys to girls in janices classroom is 3:5, and there are a total of 32 students in the class, help plss​
svetoff [14.1K]

9514 1404 393

Answer:

  • 12 boys
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Step-by-step explanation:

The total number of students (32) corresponds to the total number of ratio units (3+5 = 8), so each ratio unit represents 32/8 = 4 students.

The 3 ratio units representing boys will stand for 3×4 = 12 boys.

The 5 ratio units representing girls will stand for 5×4 = 20 girls.

There are 12 boys and 20 girls in Janice's classroom.

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<em>Additional comment</em>

I find the above solution to be the easiest.

You can also write a system of equations. Let b and g represent the numbers of boys and girls, respectively.

  b/g = 3/5

  b +g = 32

Multiplying the first equation by g gives an expression for b that can be substituted into the second equation:

  b = (3/5)g

  (3/5)g +g = 32

  8/5g = 32 . . . . . . . . . . . . . . . . . collect terms

  g = (5/8)(32) = 5·4 = 20 . . . . . . multiply by 5/8

  b = (3/5)(20) = 3·4 = 12 . . . . . . . find b using the value of g

5 0
3 years ago
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7 0
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zhenek [66]

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Step-by-step explanation:

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And then you will take out the (x+5) from the numerator and denominator to get the answer.

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