Answer:
(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.
Explanation:
1) Given equation:
3 5x x + 2
- ------- + -------- = ---------------
x + 2 x - 1 x² - 3x + 2
2) So, the denominators are x + 2, x - 1, and x² - 3x + 2
3) The LCD is the product of the common and non common factors raised to the greatest power.
4) x + 2, and x - 1 are already prime factors
5) Factor x² - 3x + 2
x² - 3x + 2 = (x - 2)(x - 1)
6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)
7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.
Answer:
3) The number of apples at the start
Answer:
= 3.5 x 10^ -12
Step-by-step explanation:
i hope this helps :)
Step-by-step explanation:
The systems of linear equations can have:
1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.
