Answer:
y ≠ - 9
Step-by-step explanation:
the denominator of the expression cannot equal zero as this would make the expression undefined. Equating the denominator to zero and solving gives the value that y cannot be
solve y + 9 = 0 ⇒ y = - 9 ← not permissable
Answer:
last option
Step-by-step explanation:
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:
5/6
Step-by-step explanation:
Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.
The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.
According to the question;
- the r-axis is the horizontal axis.
- the s-axis is the vertical axis.
Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).
- i.e s = 0
- the equation r⁴ + s² − r s = 16, then becomes;
- r⁴ = 16
- Therefore, r = ±2.
Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).
- i.e r = 0.
- the equation r⁴ + s² − r s = 16, then becomes;
- s² = 16.
- Therefore, s = ±4.
Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.
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