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.
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Answer:
12 1/4
Step-by-step explanation:
common denominator between 8 and 2 is 4, adding those up will be 12.25 in decimal form or 12 1/4
Answer:
6,656 rabbits
Step-by-step explanation:
Population of rabbits = 26
Population doubles every 30 days
how many rabbits will be on the farm after 240 days?
t = 240 days / 30 days
= 8
Future Amount = 26(2)^t
=26(2)^8
= 26(256)
= 6,656
Therefore, the population of rabbits on the farm after 240 days is 6,656
Check the picture below.
notice the composite is just,
a 5x2 rectangle.
a triangle(yellow) with a base of 2 and a height of 2.
a triangle(red) with a base of 6 and a height of 4.
get the area of each, sum them up, and that's the area of the composite.