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4 years ago

Which object has the same y-intercept as a function y=2/3x-3?

Mathematics

1 answer:

Licemer1 [7]4 years ago

7 0

The 4th option.

The values with no x or y attached are the y intercept

6x - 7y = 21

Subtract 6x from both sides

6x - 7y - 6x = 21 - 6x

-7y = 21 - 6x

Divide both sides by - 7

-7y/-7 = 21/-7 - 6x/-7

Y = -3 +6x/7

The why intercept, -3 is the same as the one in the question

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A) You would use the two points that are closest to the graphed line

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First check the characteristic solution:

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${y_p}' = (-2At^3+(3A-2B)t^2+2Bt)e^{-2t}$

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Substituting these into the left side of the ODE gives

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$y_p = Ct + D$

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${y_p}' = C$

${y_p}'' = 0$

Substituting these gives

$4C + 4(Ct+D) = 4Ct + 4C + 4D = -8t-12$

so that 4C = -8 and 4C + 4D = -12, or C = -2 and D = -1.

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and so the particular solution satisfying these conditions is

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Mademuasel [1]

Answer:

Step-by-step explanation:

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