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solniwko [45]
3 years ago
8

10. Solve:6 - 2(x + 6) = 3x +4 x = -2 x = 2 x=-10 x = 10

Mathematics
2 answers:
ololo11 [35]3 years ago
4 0

Answer:

x = -2

Step-by-step explanation:

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

6 -2x - 12 = 3x + 4

6 - 12 - 2x = 3x + 4

-6 -2x = 3x +4

-6 - 4 - 2x = 3x + 4 - 4

-10 -2x = 3x

-10 -2x + 2x = 3x + 2x

-10 = 5x

-10 / 5 = 5x/5

x = -2

I hope this helps!!

Harman [31]3 years ago
4 0

Answer:

x = -2

Step-by-step explanation:

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

Step 1: Multiply -2(x+6)

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

6 - 2x - 12 = 3x + 4

Step 2: Distribute the left side ("6 - 2x - 12")

-2x - 6 = 3x + 4

Step 3: Add "-2x" to both sides.

-2x - 6 = 3x + 4

<u>+2x         +2x    </u>

-6 = 5x + 4

Step 4: Subtract "4" from both sides.

-6 = 5x + 4

<u>-4      -4      </u>

-10 = 5x

Step 5: Divide both sides by "5" to get x alone.

<u>-10</u> = <u>5x</u>

5      5

x = -2

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ANSWER

The turning point is

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EXPLANATION


The function given to us is

f(x) = (x - 1) ^{3}  - 3

At turning point,
f  '(x) = 0

So we need to differentiate the given function and equate it to zero.



We using the chain rule of differentiation, we obtain,
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We equate this to zero to obtain,




3 (x - 1) ^{2}   = 0



We divide through by 3.


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We solve for x to get,

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f(1) = (1- 1) ^{3}  - 3




f(1) = 0 - 3


f(1) = - 3

Therefore the turning point is


(1,-3)

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