According to the given information the result: m < k < j
The correct option is E.
<h3>What is negative integer?</h3>
A number with a minus (-) sign before it is said to be negative if its value is always less than zero. The left side of zero on a number line is where negative numbers are displayed. A couple more negative values include -6 and -15.
<h3>According to the given information:</h3>
Given that x is a negative integer, j must be positive because the least negative number, which is k, yields a negative number when squared. Also negative will be m.
J has the largest value, as far as we are aware.
For all x values, it is impossible to compare k and m. When x=1 and k=1 respectively, m and k are smaller.
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Answer: The possible side lengths are either 16 inches or 20 inches
Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.
If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;
Volume = L x W x H
Knowing that all three dimensions are the same the formula can be re-written as;
Volume = L³
4096 = L³
Add the cube root sign to both sides of the equation
∛4096 = ∛L³
16 = L
Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;
Volume = L³
8000 = L³
Add the cube root sign to both sides of the equation
∛8000 = ∛L³
20 = L
Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches
Answers:
16. 6-x= 10
move +6 to the other side
sign changes from +6 to -6
6-6-x= 10-6
-x= 4
Mutiply both sides by -1
(-1)(-x)= (-1)(4)
x= -4
17. 4a+3= -9
move +3 to the other side
sign changes from +3 to -3
4a+3-3= -9-3
4a= -12
divide both sides by 4
4a/4= -12/4
a= -3
