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4. What should be added to (3x 4) to get (9x - 7)? a)( 12 x? - 11) b) (12 x 11) c)(6x? - 11) d) (6x² 11)​

Question

What should be added to (3x + 4) to get (9x - 7)?

a) (12 x² - 11)

b) (12 x + 11)

c) (6x² - 11)

d) (6x² + 11)

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Solution

The question seems to be a bit unclear, but I'll try to interpret it as best as I can.

We are asked what should be added to (3x + 4) to get (9x - 7).

Let's denote the unknown addition as (ax + b).

So, we have the equation:

(3x + 4) + (ax + b) = 9x - 7

This simplifies to:

(3x + ax) + (4 + b) = 9x - 7

This can be further simplified to:

(a + 3)x + (4 + b) = 9x - 7

For the left side to be equal to the right side, (a + 3) must be equal to 9 and (4 + b) must be equal to -7.

Solving these two equations gives:

a = 9 - 3 = 6

b = -7 - 4 = -11

So, the correct answer is (6x - 11), which corresponds to option c).

This problem has been solved

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