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2 years ago

Roy and Sam start solving the equation as follows.

Mathematics

1 answer:

denpristay [2]2 years ago

7 0

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

$-3x+4=5x-6$

According to the addition property of equality $a=b$ and $a+c=b+c$ are equivalent equations.

Use addition property of equality, add 3x on both the sides.

$-3x+4+3x=5x-6+3x$

$4=8x-6$

Therefore Sam's work is incorrect because he make calculation mistake.

According to the subtraction property of equality $a=b$ and $a-c=b-c$ are equivalent equations.

Use subtraction property of equality, subtract 5x from both the sides.

$-3x+4-5x=5x-6-5x$

$-8x+4=-6$

Therefore Roy's work is correct because he used subtraction property.

Option D is correct.

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Step-by-step explanation:

we know that

The domain of a function is the set of all possible values of x

Part 1) we have

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we know that

In a quotient the denominator cannot be equal to zero

For the value of x=0 the function is not defined

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Part 2) we have

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For the value of x=-4 the function is not defined

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Part 3) we have

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The function is defined by all the values of x

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Part 4) we have

$f(x)=\frac{4}{x^2+8x+16}$

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In a quotient the denominator cannot be equal to zero

Equate the denominator to zero

$x^2+8x+16=0$

Remember that

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( $x+4)^2=0$

The solution is x=-4

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