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podryga [215]
3 years ago
13

3x2=7 5x4=23 7x6=47 9x8=79 10x9=?

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0
(a\times b) = (a\times b) +(b -1) = c \\  \\ 3 \times 2 = (3\times 2) +(2-1) = 6 +1=7 \\  \\ 5 \times 4 = (5\times 4) +(4-1) = 20 +3=23 \\  \\ 7 \times 6 = (7\times 6) +(6-1) = 42 +5=47 \\  \\ 9 \times 8= (9\times 8) +(8-1) = 72 +7=79 \\  \\  \\  \\ 10 \times 9 = (10\times 9) +(9-1) = 90 +8=\boxed {\bf{98}}\\\sf {10\times 9 = \boxed{\bf {98}}}
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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
How can I prove that
Citrus2011 [14]

I can prove by being smart then that if you tell me all the ansers

6 0
3 years ago
Yesterday liam used 20 stripped marbles to fill bags. how many non-stopped marbles did he used to fill up the bags?
777dan777 [17]
The answer is 30 because i had this on a test
5 0
3 years ago
Can someone please help me with this problem.
iren [92.7K]
X^2 + 3x - 6

This is because x^2 and 3x have nothing they can combine with, leaving them as their own number. 1 + - 6 will give you -5 as adding to a negative only reduces not adds entirely.

Hope this helps!
8 0
3 years ago
Solve for x,y, and z
Lostsunrise [7]
Equation 1)  3x + 2y - 5z = 3
Equation 2)  4x - 2y - 3z = -10
Equation 3)  5x - 2y - 2z = -11

Add equation 1 with equation 2.

Equation 4)  7x - 8z = 7

Then subtract equation 3 from equation 2.

Equation 5)  -x -z = 1

Multiply all of equation 5 with 7.

5)  -7x - 7z = 7
4)  7x - 8z = 7

Add equations together.

z = 14

Plug in 14 for z in equation 4.

7x - 8z = 7

7x - 8(14) = 7

7x - 112 = 7

7x = 119

x = 17

Plug in 17 for x in equation 1, and 14 for z.

1)  3x + 2y - 5z = 3

3(17) + 2y - 5(14) = 3

51 + 2y - 70 = 3

2y - 19 = 3

2y = 22

y = 11

So, x = 17, y = 11, and z = 14

~Hope I helped!~



3 0
3 years ago
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