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3 years ago

Simplify 18 - 2[ x + ( x - 5)]. 8 - 4 x 28 - 4 x 28 - 2 x

Mathematics

2 answers:

Alborosie3 years ago

5 0

First u have to factor the expression

2(9-(x+(x-5))x 8 - 2 x 28 - 2 x 28 - x)

next you have to remove the parenthesis and multiply

2(9 -(x + x - 5) x 8 - 2 x 28 - 2 x 28 - x) that's -2 x 28

2(9 -( x+ x - 5) x 8 - 56 - 2 x 28 - x)

2(9 -( x + x -5) x 8 -56 -56 - x)

Check like terms

2(9 -(2x-5) x 8 -56 -56 - x)

multiply by 8

2(9 - (16x - 40) -56 -56 - x)

remove parenthesis

2(9 - 16x + 40 -56 -56 - x)

calculate and collect like terms

2( -63 - 16x - x)

collect the like terms

2( -63 -17x)

your answer is: 2(-63 - 17x)

Arisa [49]3 years ago

3 0

The answer for this question is 28-4x

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3 years ago

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The function f(x)=x^2 -6x+3 is transformed such that g(x)=f(x-2). Find the vertex of g(x).

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Answer:

$g(x) = (x-2)^2 -6(x-2) +3$

$g(x) = x^2 -4x +4 -6x +12 +3$

$g(x) = x^2 -10 x +19$

$g(x) = x^2 -10 x + 25 +19 -25$

$g(x) = (x-5)^2 -6$

$y= (x-h)^2 -kk$

Where h,k represent the vertex and we got:

$(h,k)= (5,6)$

(5,6)

Step-by-step explanation:

We have this original function given :

$f(x) = x^2 -6x +3$

And we want to find the vertex for this new function $g(x) = f(x-2)$ and we have:

$g(x) = (x-2)^2 -6(x-2) +3$

And solving the square we got:

$g(x) = x^2 -4x +4 -6x +12 +3$

And adding similar terms we got:

$g(x) = x^2 -10 x +19$

Now we can complete the square like this:

$g(x) = x^2 -10 x + 25 +19 -25$

$g(x) = (x-5)^2 -6$

The general equation is given by:

$y= (x-h)^2 -kk$

Where h,k represent the vertex and we got:

$(h,k)= (5,6)$

(5,6)

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4 years ago