Answer:
f^-1(x) = 9(x+2)
Step-by-step explanation:
To find the inverse function, exchange x and y and then solve for y
y = 1/9 x -2
Exchange x and y
x = 1/9 y-2
Solve for y
Add 2 to each side
x+2 = 1/9 y-2+2
x+2 = 1/9y
Multiply each side by 9
9(x+2) = 9*1/9y
9(x+2) = y
The inverse function
f^-1(x) = 9(x+2)
the equation of the line is y = 3.
the slope of the line is 0.
the y-intercept is 3, so plug it into the slop-intercept-form equation:
y = mx + b
y = 0x + 3
y = 3
hope this helps!
The correct answer was 8 / 17
Because
AB^2 + 60^2 = 68^2
AB^2 = 4624 - 3600 = 1024
AB = 32
Sin S = Opp/Hyp = 32/68 = 8 / 17
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(Pythagorean Theorem Calculator)
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Answer:
Maura is faster: 4 mph
Step-by-step explanation:
Find the unit rate (mph) for both cases and then compare them:
Maura: 5 miles / 1.25 hrs = 4 mph
Ava: 3 miles / (5/6 min) = 3*(6/5) mph = 3.6 mph
Clearly, Maura runs faster.
You can buy 15 ink cartridges from 180 dollars.
Step-by-step explanation:
Given,
Amount you have = 180 dollars
Cost of one cartridge of ink = 12 dollars
We will divide the total amount with the cost of one cartridge of ink to find the number of ink cartridges that can be bought.
Number of ink cartridges =
Number of ink cartridges = 15
You can buy 15 ink cartridges from 180 dollars.
Keywords: unit rate, division
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