Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
- y = x/-2 → y = -1/2x
- This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
- 2y = 12 - x
- y = 6 - 1/2x
- This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.
(c) 3x - 2y = 0
- -2y = -3x
- y = 3/2x
- This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
- y = -5x²
- This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.
(e) y = 0.3x + 1.6
- 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.
(f) y - 2 = x
- y = x + 2
- 2 is being added to x, so it is <u>NOT</u> an example of direct variation.
The following equations are examples of direct variation:
M=30/22,5=1,33
m=25/x=1,33. ...>x=25/1,33=18,7
The prime factores are 7,2,2,2
C.) Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.
Answer:
They will be 5 miles apart in 1 hour
Step-by-step explanation:
Here, we want to calculate the time it will take for the two ferries to be 5 miles apart
Mathematically; distance = speed * time
Let the number of hours be x
In x hours, the cat will have traveled 34 * x = 34x miles
In x hours, the Bird will have traveled 29 * x = 29x miles
So;
34x - 29x = 5
5x = 5
x = 5/5
x = 1 hour
