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In-s [12.5K]
1 year ago
8

Can someone pls explain how to do this

Mathematics
1 answer:
Rama09 [41]1 year ago
5 0

The polynomial A is represented as <u>x - 2</u>, making <u>option A</u> the right choice.

In the question, we are asked to find the correct representation of A, when the algebraic expression (x² + x)/(x + 3) can be rewritten as the algebraic expression A + 6/(x + 3), where A is a polynomial.

Thus, we can write an equation,

A + 6/(x + 3) = (x² + x)/(x + 3),

or, A + 6/(x + 3) - 6/(x + 3) = (x² + x)/(x + 3) - 6/(x + 3) {Subtracting 6/(x + 3) from the both sides of the equation}

or, A = (x² + x)/(x + 3) - 6/(x + 3) {Simplifying},

or, A = (x² + x - 6)/(x + 3) {Subtracting the two fractions with the same denominator (x + 3)},

or, A = (x² + 3x - 2x - 6)/(x + 3) {Mid-term factorization},

or, A = {x(x + 3) - 2(x + 3)}/(x + 3) {Taking common},

or, A = {(x - 2)(x + 3)}/(x + 3) {Taking (x + 3) common},

or, A = x - 2 {Cancelling (x + 3) from the numerator and the denominator}.

Thus, the polynomial A is represented as <u>x - 2</u>, making <u>option A</u> the right choice.

Learn more about polynomials at

brainly.com/question/11434122

#SPJ1

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dangina [55]
Um
81^5=3x
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8 0
3 years ago
Read 2 more answers
part 3. Find the coordinates of the vertices of the triangle after a reflection across the y-axis and then across the line y= 2.
garik1379 [7]

Answer:

  c.  S'(3, 1), T'(1, -1), U'(0, 1)

Step-by-step explanation:

Reflection across the y-axis negates the x-coordinate, so is equivalent to the transformation ...

  (x, y) ⇒ (-x, y)

Reflection across the horizontal line y=c is equivalent to the transformation ...

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So, the combined reflections are equivalent to the transformation ...

  (x, y) ⇒ (-x, 4 -y)

Then we have ...

  S(-3, 3) ⇒ S'(-(-3), 4-3) = S'(3, 1)

  T(-1, 5) ⇒ T'(-(-1), 4-5) = T'(1, -1)

  U(0, 3) ⇒ U'(-(0), 4-3) = U'(0, 1) . . . . matches choice C

7 0
3 years ago
Jim is selling hot dogs at a ball game. It cost Jim $250 to purchase everything to make the hot dogs. Jim sells hot dogs for $2.
Olegator [25]
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Find the value of x in the solution to the system of equations shown. y = 4x - 3 y= -x - 13
Kamila [148]

Answer:

B (-2 , -11)

Step-by-step explanation:

hello : the system is :

y = 4x - 3

y= -x - 13

put x = -2

y = 4(-2) - 3=- 11

y= -(-2) - 13 = -11

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Which value of x make the open sentence true? 2x – 3 = 15
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2x - 3 = 15
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