Answer:
By closure property of multiplication and addition of integers,
If 
is an integer
∴ 
is an integer
From which we have;
is an integer
Step-by-step explanation:
The given expression for the positive integer is x + x⁻¹
The given expression can be written as follows;
By finding the given expression raised to the power 3, sing Wolfram Alpha online, we we have;
By simplification of the cube of the given integer expressions, we have;
Therefore, we have;
By rearranging, we get;
Given that is an integer, from the closure property, the product of two integers is always an integer, we have;
is an integer and 
is also an integer
Similarly the sum of two integers is always an integer, we have;
is an integer
is an integer
From which we have;
is an integer.
3 becuse you put the numbers wrong
1. Let x = #
2. "Five less than six times a number" can be written as: 6x - 5
3. "is at least" is the same as "greater than or equal to" and can be written as: >=
4. "nine subtracted from two times that number" can be written as: 2x - 9
5. the equation is: 6x - 5 >= 2x - 9
6. solve for x by grouping the x variable terms on one side and the constants on the other side:
6x - 5 >= 2x - 9
-2x +5 -2X +5
4x >= -4
7. divide each side by 4, and you get: x = -1
For the sake of showing work I will replace the empty space with an x like so...
To find out what x is you must cross multiply (aka butterfly)
***Image of this step is attached below
9*x = 10*90
9x = 900
Next divide 9 to both sides to finish isolating x. Since 9 is being multiplied by x, division (the opposite of multiplication) will cancel 9 out (in this case it will make 9 one) from the left side and bring it over to the right side.
9x ÷ 9 = 900 ÷ 9
1x = 100
x = 100
To make these fractions equivalent the empty spot must be 100
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
C) 11703
Step-by-step explanation:
from 1900 to 1976 is 76 years.
substitute 76 for t:
S = 2(76)^2 + 2(76) - 1
S = 2(5776) + 152 - 1
S = 11552 + 151
S = 11703
