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kirill [66]
3 years ago
8

"twelve diminished by six times a number

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0
The answer to the problem is 12-6x
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The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
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Answer:

a.) N(x) =  N_{0} e^{bx}

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Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

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On Megan’s road map, 1 inch represents 10 miles. How many miles would 4 inches represent and how do you know? (explain your thin
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Answer:

The answer is 40 miles!

Step-by-step explanation:

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2 inches= 20 miles

3 inches= 30 miles

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An expression is shown.<br> 95 – 3^4<br> What is the value of the expression?
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Answer: 14

Step-by-step explanation:

95-3^4

=95-81

=14

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