Answer:
24
Step-by-step explanation:
3 minutes and 30 seconds = 3.5 minutes
84/3.5 = 24copies/minute
The absolute value inequality can be decomposed into two simpler ones.
x < 0
x > -8
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Which two inequalities can be used?</h3>
Here we start with the inequality:
3|x + 4| - 5 < 7
First we need to isolate the absolute value part:
3|x + 4| < 7 + 5
|x + 4| < (7 + 5)/3
|x + 4| < 12/3
|x + 4| < 4
The absolute value inequality can now be decomposed into two simpler ones:
x + 4 < 4
x + 4 > - 4
Solving both of these we get:
x < 4 - 4
x > -4 - 4
x < 0
x > -8
These are the two inequalities.
Learn more about inequalities:
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The answer is -6 is less than 3
Answer:
5/3 x + 15
Step-by-step explanation:
The inverse of a function is the reflection across the line y = x. As such, algebraically it is found by switching y and x in the equation and isolating to solve for y.
g(x) = 3/5 x - 9
x = 3/5 y - 9
x + 9 = 3/5 y
5(x+9) = 3y
(5x + 45)/3 = y
5/3x + 15 = y