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Karo-lina-s [1.5K]
4 years ago
14

1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?

Mathematics
1 answer:
ArbitrLikvidat [17]4 years ago
3 0

Answer:

1. y = (⅔)x - 3

2. y = 3x + c

3. 1) non-proportional

2) can be proportional if c = 0

Step-by-step explanation:

1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?

y = (⅔)x - 3

2. What is the equation of a line that has a slope of 3?

y = 3x + c

3. Lable the 2 equations as proportional or non-proportional and why.

A proportional relation should pass through the origin, i.e the y-intercept should be 0

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Answer: Discounted function will be

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Step-by-step explanation:

Since we have given that

Initial cost of solar energy = $9000

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Let the number of year will be t

According to question, we need to write a discounted cost as a function of number of years.

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C(x)=\frac{100-25}{100}(9000+200t)\\\\C(x)=\frac{75}{100}(9000+200t)\\\\C(x)=0.75(9000+200t)\\\\C(x)=9000\times 0.75+200\times 0.75t\\\\C(x)=6750+150t

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