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sammy [17]
3 years ago
8

The rent for an apartment is represented by R(a) = 2.00a + 50.00, where a is the area of the apartment in square feet. The rent

increases by $50.00 when the apartment is furnished. Identify the new function S(a) for the rent of a furnished apartment and the transformation that has been applied.
Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

The new function S(a) for the rent of a furnished apartment will be S(a)=2.00a+100.00

Step-by-step explanation:

Hi

As the rent for an apartment is represented by R(a) = 2.00a + 50.00, where a is the area of the apartment in square feet, the new function will be the result of adding it $50.00 due to the increased rent when the apartment is furnished, so S(a)=R(a)+50.00, therefore

S(a)=2.00a+50.00+50.00\\S(a)=2.00a+100.00

That is the new function S(a) for the rent of a furnished apartment

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Ann [662]

The amount of water left = 21.3 gallons.

We have a leaking pond which looses 18 gallons of water in 34 hour.

We have to determine how many gallons of water will be left after 41 hours.

<h3>What do you understand by gallon?</h3>

The gallon is a unit of volume in imperial units and United States customary units.

I gallon = 231 cubic inches = 3.785411784 liters.

According to question, we have -

Amount of water lost by the pond in 34 hours = 18 gallons

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So, the amount of water loosed by the pond in 41 hours = \frac{18}{34}\times 41  = 21.3

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2 years ago
Use f’( x ) = lim With h ---&gt; 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²
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<h2>Answer:</h2>

The derivative of the function f(x) is:

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<h2>Step-by-step explanation:</h2>

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We have:

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( Since,

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Also, by using the definition of f'(x) i.e.

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Hence, on putting the value in the formula:

f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x

      Hence, the derivative of the function f(x) is:

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