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ziro4ka [17]
3 years ago
10

Which of the numbers below belong to both of natural numbers and set of integers?

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

The answer is B. Natural numbers are {1,2,3,4...} so basically positive. Intergers consist of 0 so it can range from -#s to +#s

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Miss smith’s pay is directly proportional to the number of hours she work at the airport. Her pay for 22 hours is $297.How much
Troyanec [42]

Answer:

She should earn $540 in a 40 hour week

Step-by-step explanation:

we know that

Her pay for 22 hours is $297

so

using proportion

Find out how much should she earn in a 40 hours week

\frac{22}{297}=\frac{40}{x}\\\\x=297*40/22\\\\x= \$540

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Step-by-step explanation:

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If g(x)= square root of 3-5x, find the domain of g'(x).
BaLLatris [955]

Answer:

domain: x>3/5

Step-by-step explanation:

First we need to derive our function g(x) to get a new function g'(x)

To do this we will have to apply chain rule because we have an inner and outer functions.

Our G(x) = square root(3-5x)

Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)

where d/dx(g(f(x)) = g'(x)

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therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5

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Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)

But the domain is the values of x where the function g'(x) is not defined

In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined

which gives us x >3/5

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