The tax on a property with an assessed value of $67,000 is $975. Using a proportion, find the tax on a property with an assessed
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Answer:
The inverse function is g(x) = ± , x ≥ -12 ⇒ D
Step-by-step explanation:
* Lets explain how to find the inverse function
- The steps of find the inverse of function f(x)
# Write y = f(x)
# Switch x and y
# Solve to find the new y
* Lets solve the problem
∵ f(x) = 9x² - 12
- Do the steps above
- Put y = f(x)
∵ y = f(x)
∴ y = 9x² - 12
- Switch x and y
∴ x = 9y² - 12
- Add both sides by 12
∴ x + 12 = 9y²
- take √ for both side don't forget to put ± in-front of it
∴ ± = 3y
- Divide both sides by 3
∴ y = ±
∵ There is no square root for negative number
∴ x + 12 ≥ 0 ⇒ subtract 12 from both sides
∴ x ≥ -12
- The function is defined for all values of x greater than or equal -12
∴ The inverse function is g(x) = ± , x ≥ -12
Answer:
Part a) Higher fee per game Arcade A
Part b) Higher entrance fee Arcade B
Part c) Higher total cost for 8 games Arcade B
Step-by-step explanation:
Let
x------> the number of games
<em>Arcade A</em>
we have that the linear equation is
The fee per game is $0.75
The entrance fee is $2
The cost for 8 games is equal to
Arcade B
Find the linear equation
Let
Find the slope of the line (fee per game)
The point A is the y-intercept
The linear equation is
so
The fee per game is $0.50
The entrance fee is $8
The cost for 8 games is equal to
therefore
Part a) Higher fee per game Arcade A
Part b) Higher entrance fee Arcade B
Part c) Higher total cost for 8 games Arcade B