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3 years ago

Please Help I can’t figure out 4

Mathematics

2 answers:

ladessa [460]3 years ago

7 0

Answer:

B, or 3x.

Step-by-step explanation:

When looking at the x value (time), and the y value (distance), you can see that every time you multiply the x value by 3, you get the y value.

2 x 3 = 6

4 x 3 = 12

6 x 3 = 18

Therefore, your answer is 3x.

ehidna [41]3 years ago

5 0

Answer:

y = 3x

Step-by-step explanation:

from the table slope or rate of change is

m = 6 - 0 / 2 - 0 = 6/2 = 3

m = 12 - 6 / 4 - 2 = 6/2 = 3

m = 18 - 12 / 6 - 4 = 6/2 = 3

so m = 3

y = mx + c

c is y intercept --> y value when x is 0

y = 0 = c

so line equation is y = 3x + 0

y = 3x

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kompoz [17]

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divide both sides by $2^x$ to get

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$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

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Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

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egoroff_w [7]

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