Answer:

Step-by-step explanation:
So we have the function:

To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:

Switch:

Add 1 to both sides:

Divide both sides by 6:

And that's our answer :)
Answer:

Step-by-step explanation:
Given


Required
Determine the distance between the two points
Distance (D) is calculated as:

Substitute values for x's and y's





Express as 9 * 2

Split:



The price of a painting in the year 2022 will be $ 568,000.
<h3>What is inflation?</h3>
A rise in the amount of a certain product or service is known as inflation.
Given data;
Cost of painting in the year 2021, P₁ = $560,000
Cost of painting in the year 2022, P₂ =?
The amount increases every year,x = $8,000
The cost of painting in the year 2022 is found as;
P₂ = P₁ + x
P₂= $560,000 + $8,000
P₂ = $ 568,000
Hence the price of a painting in the year 2022 will be $ 568,000.
To learn more about inflation refer;
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Acasa's expected value loss be per customer who chooses plan A
Assumption
Fill customers choose plan A
The average payout is the same for plans A & B
Expected value = net payment in -Net payment out
⇒ 1000% × 700$ - 5% ×[27000$ - 3000$]
⇒ 700$ - 1200$
⇒ -500$
What are a profit and loss?
A profit and loss statement is a record of revenue and expenses incurred by a business in a given period of time. A profit and loss statement is also called a P&L, an income statement, a statement of profit and loss, and income and expense statement, or a statement of financial results.
Learn more about profit and loss
here: brainly.com/question/19104371
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Let's assume
the number of hours Susan jogs at the increased speed is 't' hours
Since, increased speed is 6 miles per hour
after 't' hours , she travles with increased speed is 6*t miles
She starts off with a half-hour walk at a pace of 2 miles per hour
so, she travels distance
=0.5*2 miles
=1 miles
She travels a total of 4 miles
total distance is
=6t+1
now, we can set them equal

now, we can solve for t
Subtract both sides by 1


Divide both sides by 6
we get

so, the number of hours Susan jogs at the increased speed is 0.5 hrs.........Answer