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:
13000
Step-by-step explanation:
(5 3/10) (m) + (5 3/10) (m) + (5 3/10) (m) + (5 3/10) (m)
P = 53/10 + 5 3/10 + 5 3/10 + 5 3/10
P = 53/10 + 53/10 + 5 3/10 + 5 3/10
P = 53/5 + 5 3/10 + 5 3/10
P = 53/5 + 53/10 + 5 3/10
P = 159/10 + 5 3/10
P = 159/10 + 53/10
P = 106/5
P = 21 1/5 meters
Answer: 21 1/5 meters (Decimal: 21.2m)
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Answer:
Solution given:
Volume of rectangular prism=length*breadth*height
for
1st one 4in,3in,6in
Volume=4*3*6=<u>72cu.in</u>
For second one 6in,3in,2in
Volume=6*3*2=<u>36cu.in</u>
For third one 4in ,5in,4in
Volume=4*5*4=<u>8</u><u>0</u><u>c</u><u>u</u><u>.</u><u>in</u>
For forth one 2in,9in,3in
Volume=2*9*3=<u>5</u><u>4</u><u>cu</u><u>.</u><u>in</u>
Answer:
slope = - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line
m = 
= 
= - 3
