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3 years ago

1/2(5x-6)-1/3(9x-15)+1

Mathematics

2 answers:

tresset_1 [31]3 years ago

7 0

Because there is no =, you can only simplify this
2.5x-3-3x+5+1
-.5x+3

djverab [1.8K]3 years ago

6 0

1/2(5x-6)-1/3(9x-5)+1

5/2x-3-3+5+1 distribute

5/2x-6+5+1 combine like terms

5/2

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For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

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$Y=3x^2-4x+5$ for (-1,12)

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We now try (2,15).

$Y=3(2)^2-4(2)+5=3(4)-8+5=12-8+5=9\\$

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$Y=4x^2-3x+5$ for (-1,12)

$Y=4(-1)^2-3(-1)+5=4(1)+3+5=4+3+5=12\\$

This does not give 12 as the answer and is not a solution.

We now try (2,15).

$Y=4(2)^2-3(2)+5=4(4)-6+5=16-6+5=15\\$

This does give 15 as the answer and is a solution.

This is the standard form of the equation.

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3 years ago