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iogann1982 [59]
3 years ago
15

Betsy can clean a/b of the house in an hour. How long will it take her to clean the whole house?

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0

Answer:

b/a\ hours

Step-by-step explanation:

we know that

Betsy can clean a/b of the house in an hour

The whole house (100%) correspond to the number 1

so

using proportion

Find out how long will it take her to clean the whole house

\frac{(a/b)}{1}=\frac{1}{x} \\ \\x=1/(a/b)\\ \\x=b/a\ hours

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How to inverse this function step by step <br> f(x)=x-3/5
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f(x)=x3−5

Replace f(x)

with y

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y=x3−5

Interchange the variables.

x=y3−5

Solve for y

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Since y

is on the right side of the equation, switch the sides so it is on the left side of the equation.

y3−5=x

Add 5

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y3=5+x

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

y=3√5+x

Solve for y

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Replace the y

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to show the final answer.

f−1(x)=3√5+x

Set up the composite result function.

f(g(x))

Evaluate f(g(x))

by substituting in the value of g into f

.

(3√5+x)3−5

Simplify each term.


Remove parentheses around 3√5+x

.

f(3√5+x)=3√5+x3−5

Rewrite 3√5+x3

as 5+x

.

f(3√5+x)=5+x−5

Simplify by subtracting numbers.

.

Subtract 5

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f(3√5+x)=x+0

Add x

and 0

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f(3√5+x)=x

Since f(g(x))=x

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f−1(x)=3√5+x

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It should be noted that a polygon that's inscribed in a circle has each vertex on the outer figure.

<h3>What is a polygon?</h3>

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The formula to calculate the z-score of a certain value is:

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