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Vesnalui [34]
3 years ago
10

3(x-2) < 2(x+9) 1. x<12 2.x>12 3. x<24 4.x>24

Mathematics
1 answer:
Nataly_w [17]3 years ago
7 0

Answer:

3rd option x<24

Step-by-step explanation:

3×(x-2)<2×(x+9)

3 times everything in the bracket and 2 times everything in the bracket.

3x(-2x)-6<2x(-2x)+18 take away 2x from both sides

( Opposite operators EG, Add becomes subtract)

x-6(+6)<18(+6) add 6 on both sides

x<24

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Answer:

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The equation y=750x represents the number of dollars y Olivia earns in x weeks. Determine if there is a constant of variation. I
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Answer:

<h3>There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>

Step-by-step explanation:

Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.

In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.

For example if y is directly proportional to x, it is written mathematically as shown;

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comparing the general expression above with the equation in question,

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Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.

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