The point (4,y) has a known x coordinate of x = 4. The y coordinate is unknown right now so we'll just call it y.
Draw a vertical line (see side note below) through 4 on the x axis. I've done so in red (see attached image). The red line crosses the graph at the point (4,1) so this tells us that
y = 1Answer: y = 1
Side Note: you don't have to draw a vertical red line but it's handy to see how it works out. After you get used to these types of problems, you can visually be able to see the answer without these extra lines.
Sixty-three, 60 + 3, 9 x 7, 63
Answer:
C
Step-by-step explanation:
I looked it up
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
![\frac{y^2 - 12y + 27 }{y^2 - 6y - 27}](https://tex.z-dn.net/?f=%5Cfrac%7By%5E2%20-%2012y%20%2B%2027%20%7D%7By%5E2%20-%206y%20-%2027%7D)
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,
![\frac{y^2 - 12y + 27 }{y^2 - 6y - 27}=\frac{(y-3)(y-9)}{(y+3)(y-9)}](https://tex.z-dn.net/?f=%5Cfrac%7By%5E2%20-%2012y%20%2B%2027%20%7D%7By%5E2%20-%206y%20-%2027%7D%3D%5Cfrac%7B%28y-3%29%28y-9%29%7D%7B%28y%2B3%29%28y-9%29%7D)
⇒ (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:
brainly.com/question/1928496
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