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)
Answer:
There are 406 students in the school
Step-by-step explanation:
Let the number of students in the school be x
The total ratio is 11 + 3 = 14
The ratio that buys lunch is represented by 3
So, we have it that;
3/14 * x = 87
3x = (14 * 87)
x = (14 * 87)/3
x = 406
Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/- 
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is
Answer:
x> or equal to 35. 36 is a solution.
Step-by-step explanation:
Answer:
undefined
Step-by-step explanation:
The line on the graph is completely vertical, which is characteristic of an undefined graph.
