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valkas [14]
3 years ago
6

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

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
6 0

Answer:

x²-3x+2=0

x²-2x-x+2=0

(x²-2x)(-x+2)=0

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

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

x-2=0 or x-1=0

x=2 or x=1

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We're working with single variable equations and I'm okay at them, but I'm rusty when it comes to using it with fractions. If an
jasenka [17]

Answer: v=-18/5

Step-by-step explanation:

Assuming you want to solve for v, we need to use our algebraic properties.

\frac{v}{3}+2=\frac{4}{5}                 [subtract both sides by 2]

\frac{v}{3}=-\frac{6}{5}                    [multiply both sides by 3]

v=-\frac{18}{5}

Now, we know that v=-18/5.

3 0
3 years ago
Please help
user100 [1]

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

720 = x X (c+6)

720 = x²+6x

0 = x²+6x-720

As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

=  \frac{ - b ±  \sqrt{{b}^{2} - 4ac}  }{2a}  \\ =   \frac{ - 6 ±   \sqrt{{6}^{2} - 4 \times 1 \times  - 720}  }{2}  \\ =    \frac{ - 6 ±  \sqrt{36 + 2880} }{2}  \\  =   \frac{ - 6 ±  \sqrt{2916} }{2}  \\  =   \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2}  \\  =  \frac{48}{2} ... \frac{ - 60}{2}  \\  = 24... - 30

One of the Roots of the Quadratic equation is 24 and other is -30.

And as we know width of any garden cannot be negative so the width of garden will be 24 metres.

As we got the width,

adding 6 to it will give us the Length,

So,

24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

Hope It Helped You ;)

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@khuturr_

8 0
3 years ago
If k represents a number then write an expression for the ratio of 3 less than k to 2 more than k
EleoNora [17]

The key words you should notice when looking at this word problem are “less than.” This means that the order is flipped, so “3 less than k” means “k minus 3.”

The expression for the ratio is k-3:k+3

Hope this helps

3 0
3 years ago
Help me please I need to finish
IrinaK [193]
The awnser is c give me brainliest
8 0
2 years ago
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PLZ PLZ HURRY I WILL GIVE BRIANLEST
Colt1911 [192]
The answer is D Explanation: since the the slope is negative the x should be negative and D is the only one that has a negative X.
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2 years ago
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