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Snowcat [4.5K]
3 years ago
13

Is it true that (x^2-3x+2)/(x-1) = x – 2, for all values of x? Justify your answer.

Mathematics
2 answers:
AysviL [449]3 years ago
6 0

Answer:

Yes, it is true for all values of x.

Step-by-step explanation:

We have given the equation:

(x²-3x+2)/(x-1) = x-2

First we solve the nominator L.H.S by factorization method.

x²-3x+2=0

x²-x-2x+2=0

x( x-1)-2( x-1)= 0

(x-1)(x-2)=0

Putting the value of nominator of L.H.S in the equation we get,

(x-1)(x-2)/(x-1)= (x-2)

Simplifying it we get,

(x-2) = (x-2)

Hence, L.H.S = R.H.S

So, it is true for all values of x.

lions [1.4K]3 years ago
3 0

Answer:

It is true for all values of x

Step-by-step explanation:

\frac{(x^2-3x + 2)}{x-1} = x - 2

\frac{(x^2-3x + 2)}{x-1} = x-2

First lets simplify Left hand side

LHS = \frac{(x^2-3x + 2)}{x-1}

Solving the numerator of LHS

x² - 2x - x +2

Using factorization to simplify

x(x-2) - 1(x-2)

(x-1)(x-2)

LHS becomes

\frac{(x-1)(x-2)}{x-1}

(x-1) will cancel out

LHS = (x-2)

LHS = RHS

x-2 = x-2

It is evident from the above expression that \frac{(x^2-3x + 2)}{x-1} = x - 2 is true for all values of x

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When solving for the value x in the equation 4(x-1) +6= 18, aaron wrote the following lines on the board:
iren [92.7K]

Answer:

The Distributive Property.

Step-by-step explanation:

4(x - 1) = 12

When distributing out the 4, it must go to all the terms within the brackets like this:

4x - 4 = 12.

4x = 16

x = 4.

8 0
2 years ago
A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer
solong [7]

Answer:

Volume = 18312.48

Step-by-step explanation:

Given

Height (h) = 18mm

Radius (r) = 18mm

Required

Determine the volume

The volume of a cylinder is calculated as thus:

Volume = \pi r^2h

Substitute values for r and h

Volume = 3.14 * 18^2 * 18

Volume = 18312.48

<em>Hence, the volume of the cylinder is 18312.48mm³</em>

8 0
3 years ago
What is a division sign beside ‘/‘?
Andrew [12]

Answer:

Division can be represented with ÷ as well.

8 0
2 years ago
A baseball team played 130 games in a season. If it won sixteen more games
egoroff_w [7]

Answer:

The team has 92 wins and 38 losses.

Step-by-step explanation:

In a season 130 games are played by a baseball team.

Let us assume that the team wins x games and losses y games.

Therefore, we can write, x + y=130....... (1)

It is given that if the team won sixteen more games twice as many games as it lost.

So, we can conclude that x =2y+16 ......(2)

Hence, solving equations (1) and (2) we get, (2y+16) + y =130

⇒ 3y = 114

⇒ y =38

And from equation (2), x = 2×38 + 16 = 92

Therefore, the team has 92 wins and 38 losses. (Answer)

4 0
2 years ago
Help agaianannaannananana
lora16 [44]
For an inverse function, switch the x and the y.
If for function f(x), ordered pair (7, 2) is a solution,
then for the inverse of function f(x), (2, 7) is a solution.

Answer: C. (2, 7)
8 0
3 years ago
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