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Vlada [557]
3 years ago
7

The fraction 1/9 produces a repeating decimal 0.1 ? true or false

Mathematics
2 answers:
Likurg_2 [28]3 years ago
8 0
The answer is true. 1/9 = 0.111111......
AveGali [126]3 years ago
8 0
Hello.

1.9 = 0.11111111

So yes, 1/9 produces a repeating decimal 0.1...
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The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of f
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Answer:

g(x) = 30\cdot x +40; a \approx 1.898, k = 40.

Step-by-step explanation:

The resultant function is obtained by multiplying f(x) by a real number k. That is:

g(x) = k \cdot f (x)

If k = 5 and f(x) = 6\cdot x + 8, then g(x) is:

g(x) = 5\cdot (6\cdot x + 8)

g(x) = 30\cdot x +40

Given that presence of the expression g(x) = 6^{a}\cdot x + k, then:

6^{a} = 30 and k = 40

The value of a is obtained by applying the definition of logarithms:

a = \log_{6}30

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Finally, the value of k is found by direct comparison:

k = 40

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3 years ago
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3 years ago
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