The simplified rational expression is (y - 3)/(y + 3). Where y ≠ -3.
<h3>How to simplify a rational expression?</h3>
A rational expression is in the p/q form. Where p and q are polynomial functions.
To simplify this rational equation,
- Factorize the polynomials in both numerator and denomiantor.
- Cancel out common factors if any.
- If the denominator and the numerator have no common factors except 1, then that is said to be the simplest form of the given rational expression.
<h3>Calculation:</h3>
The given rational equation is

Factorizing the expression in the numerator:
y² - 12y + 27 = y² - 9y - 3y + 27
⇒ y(y - 9) - 3(y - 9)
⇒ (y - 3)(y - 9)
Factorizing the expression in the denominator:
y² - 6y - 27 = y² - 9y + 3y - 27
⇒ y(y - 9) + 3(y - 9)
⇒ (y + 3)(y - 9)
Since they have (y - 9) as the common factor, we can simplify,

⇒ (y - 3)/(y + 3) where y ≠ -3(denomiantor)
Here there are no more common factors except 1; this is the simplest form of the given rational expression.
Learn more about simplifying rational expressions here:
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Step-by-step explanation:
Answer:
I'm not lol
Step-by-step explanation:
8X+6Y=12
Here's how you solve it:
Just isolate y by itself to get y-intercept form.
This is the formula: Y=MX+B
M is the slope or the number next to X in the original problem.
First:
6Y=-8X+12
Next:
divided everything by 6
Y=-4/3+2
I think the answer is A!
Answer:
Graph the equation is shown below.
Step-by-step explanation:
The linear equation representing the relation between cost of ordering a pizza and the number of additional toppings is:

Here,
<em>y </em>= cost of the pizza
<em>x</em> = number of toppings
The graph of the linear equation is shown below.
Consider the point (2, 10.25).
When <em>x</em> = 2 compute the value of <em>y</em> as follows:

The point (2, 10.25) satisfies the equation.
Again consider a point (18, 18.25).
When <em>x</em> = 18 compute the value of <em>y</em> as follows:

The point (18, 18.25) satisfies the equation.
The two points are also plotted on the graph.