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vredina [299]
3 years ago
6

Which expression is equivalent to the expression below?(6c^2+3c/-4c+2)/(2c+1/4c-2)

Mathematics
2 answers:
algol [13]3 years ago
5 0

Answer:

-3c

Step-by-step explanation:

The given expression is:

\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}}

We need to simplify this expression. The rational expression in the denominator can be multiplied to numerator by taking its reciprocal as shown below:

\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}} \\\\ =\frac{6c^{2}+3c}{-4c+2} \times \frac{4c-2}{2c+1}\\\\=\frac{3c(2c+1)}{-(4c-2)} \times \frac{4c-2}{2c+1}\\\\ =-3c

Thus, the given expression in simplified form is equal to -3c

Monica [59]3 years ago
3 0

Answer:

-3c

Step-by-step explanation:

We are given that an expression

\frac{\frac{6c^2+3c}{-4c+2}}{\frac{2c+1}{4c-2}}

We have to find an expression which is equal to given  expression

Taking common 3c from nominator and -2 from denominator in dividened  and 2 common in divisor then we get

\frac{\frac{3c(2c+1)}{-2(c-2)}}{\frac{2c+1}{2(2c-1)}}

\frac{3c(2c+1)}{-2(2c-1)}\times \frac{2(2c-1)}{(2c+1)}

By reciprocal divisor

By canceling same factor

Then ,we get

\frac{\frac{6c^2+3c}{-4c+2}}{\frac{2c+1}{4c-2}}

=-3c

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Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144
Monica [59]

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

Read more about polynomials at:

brainly.com/question/20896994

5 0
2 years ago
1<br> What is the solution to the equation 5x + 4 =19
ivolga24 [154]

Answer:

x=3

Step-by-step explanation:

5x + 4 = 19

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kondor19780726 [428]

Answer:

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Step-by-step explanation:

6 0
2 years ago
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Reika [66]

Answer:

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Step-by-step explanation:

3 time 5 equals 15 divided by 2 equals 7.5

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7.5 plus 20 equals 27.5

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The hypotenuse of a right triangle is 26 millimeters. One leg of the right triangle is 10 millimeters. What is the length of the
eimsori [14]

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Step-by-step explanation:

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