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Sunny_sXe [5.5K]
3 years ago
11

This table shows values represented by an exponential function.

Mathematics
1 answer:
krok68 [10]3 years ago
4 0

Answer:

C. 12

Step-by-step explanation:

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 1, f(a) = 3

b = 3, f(b) = 27

Average rate of change = \frac{27 - 3}{3 - 1}

Average rate of change = \frac{24}{2} = 12

Average rate of change for the interval from x = 1 to x = 3 is 12

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The perimeter of a triangle is 199 inches. If one side of the triangle is six more than the shorter side, and the longer side is
Keith_Richards [23]
Shortest side (a) = 58
middle side (b) = 64
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the 3 sides a + b + c = 199
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a + (a+6) + (a+19) = 199
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Each gallon of shingle stain covers 120 square feet. How many gallons should you buy to cover 658 square feet?
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Simplify (x^2)^3*5x/6x^2*15x^3
nasty-shy [4]

When we Simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3], the result obtained is (1/18)x^2

<h3>Data obtained from the question</h3>
  • [(x^2)^3 × 5x] / [6x^2 × 15x^3]
  • Simplification =?

<h3>How to simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3]</h3>

[(x^2)^3 × 5x] / [6x^2 × 15x^3]

Recall

(M^a)^b = M^ab

Thus,

(x^2)^3 = x^6

  • [(x^2)^3 × 5x] / [6x^2 × 15x^3] = [x^6 × 5x] / [6x^2 × 15x^3]

Recall

M^a × M^b = M^(a+b)

Thus,

x^6 × 5x = 5x^(6 + 1) = 5x^7

6x^2 × 15x^3] = (6×15)x^(2 + 3) = 90x^5

  • [x^6 × 5x] / [6x^2 × 15x^3] = 5x^7 / 90x^5

Recall

M^a ÷ M^b = M^(a - b)

Thus,

5x^7 ÷ 90x^5 = (5÷90)x^(7 - 5) = (1/18)x^2

Therefore,

  • [(x^2)^3 × 5x] / [6x^2 × 15x^3] = (1/18)x^2

Learn more about algebra:

brainly.com/question/2768008

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8 0
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