Sandy used benchmarks to estimate that there are more inches than feet in one yard. IS SANDY'S ESTIMATE REASONABLE

Y^2 - 12y + 27 / y^2 - 6y - 27 simply the rational equation.

Ulleksa [173]

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

$\frac{y^2 - 12y + 27 }{y^2 - 6y - 27}$

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,

$\frac{y^2 - 12y + 27 }{y^2 - 6y - 27}=\frac{(y-3)(y-9)}{(y+3)(y-9)}$

⇒ (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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3 0

1 year ago

Is (a + b) and (a - b)? perfect square trinomials? O True O False

lisabon 2012 [21]

Answer:

False

Step-by-step explanation:

Pos and negs cannot be perfect square trinomials

8 0

3 years ago

Read 2 more answers

Determine the intercepts of the line

PolarNik [594]

Answer:

y-intercept : -7

x-intercept : 7/5

Step-by-step explanation:

FOR Y intercept put x =0 in the equation

FOR x intercept put y=0 in the equation!

✌️;)

3 0

3 years ago

Read 2 more answers

You draw one card from a? 52-card deck. then the card is replaced in the deck and the deck is? shuffled, and you draw again. fin

Solnce55 [7]

there are 4 tens in a deck so probability of picking a ten is 4/52 reduced to 1/13

there are 13 clubs in a deck, probability for that is 13/52 reduced to 1/4

probability for both is 1/13 x 1/4 = 1/52

6 0

3 years ago

A team is being formed that includes eight different people. There are eight different positions on the teams. How many differen

abruzzese [7]

Answer:

40320 different ways

Step-by-step explanation:

That problem is a permutation one

We have eight people to occupy one position in a team, without any constraint at all

So

Total number of events = P(8)

P (8) = 8!

P (8) = 8*7*6*5*4*3*2*1

P (8) = 40320 different ways

6 0

3 years ago