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xxTIMURxx [149]
3 years ago
14

X-3=x+13 solution or not

Mathematics
1 answer:
AfilCa [17]3 years ago
6 0
There’s no solution
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Y^2 - 12y + 27 / y^2 - 6y - 27 <br> 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:

brainly.com/question/1928496

#SPJ9

3 0
2 years ago
The sum of three consecutive intergers is 267. What is the largest interger?​
pav-90 [236]

90

Step-by-step explanation:

4 0
3 years ago
Hi anyone indian here??​
densk [106]

Answer:

I'm not lol

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the slope-intercept form of this equation?
quester [9]
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!


3 0
3 years ago
Read 2 more answers
A small pizza at Little Italy pizzeria costs $9.25, and each topping is an additional $0.50. So the cost of ordering a pizza can
Vera_Pavlovna [14]

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:

y=0.50x+9.25

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:

y=0.50x+9.25\\=(0.50\times 2)+9.25\\=10.25

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:

y=0.50x+9.25\\=(0.50\times 18)+9.25\\=18.25

The point (18, 18.25) satisfies the equation.

The two points are also plotted on the graph.

6 0
3 years ago
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