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OleMash [197]
3 years ago
7

What is the inverse of the function f(x)= 19/x^3 ?

Mathematics
1 answer:
Ugo [173]3 years ago
8 0
f(x)=\dfrac{19}{x^3}\to y=\dfrac{19}{x^3}\\\\\dfrac{y}{1}=\dfrac{19}{x^3}\ \ \ \ |cross\ multiply\\\\yx^3=19\ \ \ \ |:y\neq0\\\\x^3=\dfrac{19}{y}\to x=\sqrt[3]{\dfrac{19}{y}}
Answer: f^{-1}(x)=\sqrt[3]{\dfrac{19}{x}}

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3. If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day is: (a) 1 – n
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Answer:

If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day

will be \frac{1}{n}.

Step-by-step explanation:

From the question, it is clear that

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So

let 'n' be the number of days A takes to complete the whole work

Let the whole job be denoted as '1'

Thus, the part of work finished in 1 day will be:

                      \:\frac{Total\:work}{Time\:taken\:by\:A\:to\:complete\:the\:work}\:=\frac{1}{n}

Therefore, If ‘A’ can finish a work in ‘n’ days then part of work finished in 1 day will be \frac{1}{n}.

                             

Keywords: work, word problem

Learn more about word problem form brainly.com/question/12419898

#learnwithBrainly

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What's bigger 3/8 or 5/12
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If the total cost plus shipping is greater than $35,then you receive a 10% discount off the original selling price. Do you quali
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<u>It's not clear what is the specific requirement of the question, but I'll assume a couple of situations to help you with your real problem.</u>

Answer:

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Step-by-step explanation:

<u>Percentage Calculations</u>

Relative quantities are usually expressed as percentages (%). We say x percent of y is the proportion xy/100. When discounts or surcharges are applied, they are subtracted or added to the original quantity.

The question explains I receive a 10% discount off the original selling price if the total cost plus shipping is greater than $35. Let's assume the total cost plus shipping is $50. Since it's greater than $35, it qualifies for a discount. The discount is 10% of $50 = (10)(50)/100= $5. So the new total cost will be $50 - $5 = $45

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