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natulia [17]
3 years ago
15

Factor completely...................

Mathematics
1 answer:
defon3 years ago
3 0

Answer:

Final answer is A. 9(3x+1)(3x-2).

Step-by-step explanation:

Given expression is 81x^2-27x-18.

81x^2-27x-18

=9(9x^2-3x-2)

We can factor that by splitting middle term into two parts then do grouping as shown below:

=9(9x^2-6x+3x-2)

=9(3x(3x-2)+1(3x-2))

=9(3x+1)(3x-2)

Which correctly matches with choice A. 9(3x+1)(3x-2).

Hence final answer is A. 9(3x+1)(3x-2).

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2 years ago
Given g(x)=|-3x+16|, if g(x)=18, find x.
LenaWriter [7]

Answer:

x = - \frac{2}{3} , x = \frac{34}{3}

Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

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Solving

- 3x + 16 = 18 ( subtract 16 from both sides )

- 3x = 2 ( divide both sides by - 3 )

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or

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As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- \frac{2}{3} ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3(\frac{34}{3} ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - \frac{2}{3} and x = \frac{34}{3} are the solutions

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Step-by-step explanation:

I doubt you'll need to show working

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