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solniwko [45]
3 years ago
13

HELP PLEASE Simplify the rational expression. State any excluded values. x^2-12x+35/x^2-3x-10

Mathematics
1 answer:
Alborosie3 years ago
5 0

\frac{{x}^{2}  - 12x + 35 }{ {x}^{2} - 3x - 10 }
Factorise both the term by splitting the mid term and you'll get


\frac{ {x}^{2}  - 5x - 7x + 35}{ {x}^{2} - 5x + 2x - 10 }  \\  =  \frac{x(x - 5) - 7(x - 5)}{x(x - 5) + 2(x - 5)}  \\  =  \frac{(x - 7)(x - 5)}{(x + 2)(x - 5)}  \\  =  \frac{x - 7}{x + 2}
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Twice the difference of a number and 9 equals 7
Oxana [17]
2(x-9)=7 solve and you would get the answer
6 0
3 years ago
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FILL IN THE BLANKS AND TELL ME WHAT THEY ARE!!!! HELP ASAP!!! FIRST PERSON GETS BRAINLIEST ANSWER!! NO LINKS! ASAP!!
photoshop1234 [79]

9514 1404 393

Answer:

  • no solutions
  • 1, 14=0
  • 2, 7=0

Step-by-step explanation:

The first blank is correctly filled with "no solutions."

The two requested values of x can be <em>any numbers of your choice</em> (except 0). Above, we have chosen x=1, which makes the equation 14/1 = 0, or 14 = 0 when simplified.

And we have chosen x=2, which makes the equation 14/2 = 0, or 7 = 0 when simplified.

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In short, there are <em>an infinite number of correct answers</em> to this question.

8 0
3 years ago
The rectangle below has a area x^2-x-72 square meters and a length of x+8 meters what expression represents the width of the rec
mixer [17]
ANSWER

w = (x - 8)

EXPLANATION

The given rectangle has area,

A = {x}^{2} - x - 72 \: {m}^{2}

It was given to us that, the length of the rectangle is l=(x+8)

To find the width, we need to factor, the expression for the area.

We split the middle term to get,

A = {x}^{2} - 9x + 8x- 72

We now factor by grouping;

A = x(x - 9) + 8(x- 9)

A = (x + 8)(x - 9)

We know that area of a rectangle is

A = l \times w

Hence the width of the rectangle is,

w = (x - 8)
8 0
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A baseball stadium has 38,496 seats. Round to the nearest thousand , how many seats is this
postnew [5]
38,496 rounded to the nearest thousand is 38,000.
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Please help me need to revise for a testtt!!!!
LUCKY_DIMON [66]
Remember you can add like terms exg, 3y+4y=7y 3y^2+4y^2=7y^2, but cannot add 3y^2 and 4y, or 3 and 4y so

3a+2w-5a-9w
group like trems
3a-5a+2w-9w
subtract
-2a-7w


3y^2+2w^2-y^2-w^2
group like terms (think of w^2 and y^2 as 1w^2 and 1y^2)
3y^2-y^2+2w^2-w^2
subtract
2y^2+w^2

2x+2x=4x
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3 years ago
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