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:
Answer:
Frank has X+45 baseball cards
Step-by-step explanation:
You just add 45 new baseball cards to the ones he had before which is X
1. find equation
general solutions are:
for P(0,-11)
⇒
for p(1,-13)
and
solve for a and b:
the total equation is now:
To find the x-intercept set y=0 and solve for x
Answer: 41
Step-by-step explanation:
I think it’s forty one because each child painted one and there are forty one flower pots. Besides that much information wasn’t given so it is most likely 41 sorry if it wasn’t much help
Answer:
1. Option A
2. Option A
Step-by-step explanation:
1.
The independent variable is the one which affects the other variable. Here two variables "design of office space" and "control by managers" control the Productivity and well-being of the workers.
Hence, the independent variable is Control of the office manager
Option A
2. The dependent variable is the one which gets affected by the independent variable and in this case it is the Productivity and well-being of the workers.
Option A
