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kkurt [141]
3 years ago
12

Identify the variation as direct, inverse, joint or combined. y = 7x

Mathematics
2 answers:
densk [106]3 years ago
7 0

Answer:

y =7x , follows the direct variation.

Step-by-step explanation:

Direct variation states that a relationship between two variables in which one is a constant multiple of the other. In other words,  when one variable changes the other changes in proportion to the first.

If y is directly proportional to x i.e, y \propto x or

y = kx              .....[1]  where k is the constant variation

Given : y = 7x

On comparing this with equation [1] we get;

k(constant of variation) = 7

therefore,

it follows the direct variation as y \propto x  or

y = 7x where k =7 is the constant of variation.

Therefore, y =7x follows the direct variation.

damaskus [11]3 years ago
6 0
Possibly direct variation
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Greetings.

The answer is x = -2.

Explanation:

By solving the Absolute-Value Equation. We give them 2 conditions.

<em>When x ≥ 0 and When x < 0</em>

<em>The different is that When x ≥ 0, |x-a| = x-a as defined.</em>

<em>And when x < 0. |x-a| = -x+a as defined.</em>

( 1 ) - When x ≥ 0 for |x-1| and |x+5|

When x ≥ 0, |x-1| = x-1 and |x+5| = x+5

Therefore, x-1 = x+5

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( 2 ) - When x ≥ 0 for |x-1| and x < 0 for |x+5|

This time, we try another condition.

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But we haven't tried the last condition.

( 3 ) And that is when x < 0 for both terms.

|x-1| = -x+1 (x < 0)

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The equation is not true. Therefore, the answer is x = -2.

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