Answer:
y = 3x
Step-by-step explanation:
Parallel lines have the same slope, so the slope of this new line will be the same as the given one.
For a line to pass through the origin it needs to have a y intercept of 0, because the origin is the point (0,0).
Answer:
There is only one perfect number between 20 to 30 which is 28.
<h3>Explanation:</h3>
The number 28 is a perfect number because its factors are 1, 2, 4, 7, 14 and 28.
Given:
y varies directly with x,
It is given that y = 7 when x = -9.
To find:
The value of y when x = 27 for the direct variation.
Solution:
It is given that y varies directly with x, so

...(i)
Where, k is the constant of proportionality.
It is given that y = 7 when x = -9. Putting these values in (i), we get
Putting
in (i), we get

Putting
, we get


Therefore, the required value is
.
The
<u>correct answer</u> is:
$5,000.
Explanation:
When it is first purchased, the depreciation expense is calculated using the formula:

The cost was $23,000; the salvage value was $3,000; and the useful life was 8 years:

This means the value of the vehicle depreciates $2500 per year.
After 4 years, the vehicle would depreciate 2500(4) = $10,000.
This makes the new value $23000-$10000 = $13000.
Reevaluating the depreciation expense at this point, we use $13000 for the "cost" (current value), $3000 is still the salvage value, and now the total useful life was 6; we take 4 off of this, since it has already been 4 years:

The depreciation expense in year 5 is $5,000.
Answer:
c) √121 is the rational number.
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