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2 years ago

Which equation represents a line which is parallel to the line X + 6y = -24?

Mathematics

1 answer:

horrorfan [7]2 years ago

7 0

Answer:

y = -(1/6)x - 6

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope

b is the y-intercept

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

x + 6y = -24

Subtract x from both sides

6y = -x - 24

Divide both sides by 6

y = -(1/6)x - 4

slope = -1/6

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

Parallel lines have the same slope

therefor the parallel line is

y = -(1/6)x - 6

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Every year after a new car is

slavikrds [6]

Answer: The value of the car after 3 years is $5,333.333

And no, the relationship is not linear, is an exponential decay.

Step-by-step explanation:

We know that every year, the car loses 1/3 of its value.

So if the initial value of the car is V.

After one year, the new value of the car will be:

Value (1 year) = V - (1/3)*V = (2/3)*V

After another year, the value will be:

Value (2 years) = (2/3)*V - (1/3)*(2/3)*V = V*(2/3)^2

Ok, we already can see that this is an exponential decay.

(So no, this is not a linear relationship).

The value equation as a function of the number of years will be:

Value(N) = V*(2/3)^N

Then if the initial cost of a car is $18,000, and we want to know its value after 3 years, we need to replace V by $18,000 and N by 3 in the above equation:

Value(3) = $18,000*(2/3)^3 = $5,333.333

6 0

3 years ago

Order the fractions from least to greatest. 6 3/4, 6 1/2, 6 5/6, 6 3/8

GenaCL600 [577]

Answer:

6 3/8, 6 1/2, 6 3/4, 6 5/6

Step-by-step explanation:

I recommend converting everything to decimals, so 6.375, 6.5, 6.75, and 6.833.

Hope this helps :)

6 0

2 years ago

The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of

tatuchka [14]

Answer:

The probability that the cost is kept within budget or the campaign will increase sales is 0.88

Step-by-step explanation:

The probability that the cost is kept within budget (event A) or the campaign will increase sales (event B) is the union of the probability of those two events. By basic properties of probability, this is:

P(A ∪ B) = P(A) + P (B) - P(A ∩ B)

and for independent events:

P(A ∩ B) = P(A) * P(B)

So:

P(A ∪ B) = 0.80 + 0.40 - (0.80*0.40) = 1.20 - 0.32 = 0.88

5 0

3 years ago

What is 5,853.128 rounded to the nearest hundredth

erica [24]

The answer is 5853.13

3 0

3 years ago