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Cerrena [4.2K]
3 years ago
8

(-3x)²-(3x-2)²-6*(2x-1.5)

Mathematics
1 answer:
Ilya [14]3 years ago
4 0
Without the instructions, I can only assume that you are to "expand the given expression."

Following order of operations rules requires that (3x-2)^2 and -6(2x-1.5) be evaluated first.

(3x-2)^2 = 9x^2 - 12x + 4   and    -6(2x-1.5) = -12x + 9

Then we have 9x^2 - (9x^2 - 12x + 4) -12x + 9

the 9x^2 terms cancel, leaving  us with 12x - 4 - 12x + 9 = 5 (answer)

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The expression -2\vec C+6\vec D in the ordered pair notation is (16,-16).

The vector components of a vector are represented as the ordered pair of its x and y components.

For example, if a vector has x - component 'a' and y- component 'b' , then the ordered pair notation for the vector is (a, b), where the vector is a \vec i+b \vec j.

Now the vector C has its x- component = -2

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Therefore, ordered pair notation of D = (2,-3)

So the expression  -2\vec C+6\vec D = -2 (-2,-1) +6 (2,-3) = (4,2) + (12, -18)

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That is, the vector \bold {-2\vec C+6\vec D} is a vector with x-component 16 and y-component -16.

Learn more about vectors at brainly.com/question/3184914

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