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Liono4ka [1.6K]
3 years ago
12

Direct Variation: If y = 6, when x = -2, find y when x = 18.

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

The answer is -54. Please mark as brainliest :)

Step-by-step explanation:

Y is directly proportional to x. So....

<h3>Finding the value of constant k.</h3>

y=kx

6=-2k

-3=k.

<h3>Finding y when x is 18</h3>

y=-3*18

y=-54.

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X=1/12 .........................................
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Let U = {all integers}.
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Confused on how to do these Piecewise-Defined evaluations..
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See the attached image for the graph. The piecewise function is simply a collection of functions glued together to form a sort of "frankenstein function" of sorts. Here's how it works. If x is between 0 and 1 (including 0 but excluding 1), then f(x) = -2 for all x values mentioned. This is exactly what the first row of the piecewise function says. Then the second line says "if x is between 1 and 2, including both endpoints, then f(x) = 3-x". Finally the last line says f(x) = 1 as long as x is larger than 1 but smaller than 4. The value x = 4 is allowed for this piece but x = 1 is not allowed.

--------------------------------------------------

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f(x) = 3-x

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is the first answer for the function evaluation section.

The value of f(3) is equal to 1 since we resort to using the third piece of the piecewise function (x = 3 is in the range from x = 2 to x = 4)

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Finally, f(2) is equal to 1 since...

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--------------------------------------------------

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Step-by-step explanation:

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