Answers:
1) -3(x + 8) = -21
2) Division Property of Equality
3) x + 8 = 7
4) Subtraction Property of Equality
Reasoning:
You are already given the equation, so that will be #1 in the Given.
#2 shows both sides being divided by -3, so you will put the Division Property of Equality.
#3 shows the Division Property after it is carried out, so you will put the equation after the division is done.
#4 shows you are subtracting 8 from both sides, so put the Subtraction Property of Equality.
9x - y = -7 is the answer
Answer: x^3 - 1 = (x - 1)(x^2 + x + 1)
Explanation:
This is a type of factorizing called the sum or difference of 2 cubes:
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
The sum of the cubes is factored as:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
In this case, we have: x^3 - 1 so follow the rule above.
x^3 - 1 = (x - 1)(x^2 + x + 1)
The answer is {4, 6, 8, 10, 12} - or B
2=6-3 is the direct variation
