The constant of variation is 1.3 kg per m³
Step-by-step explanation:
Direct variation is when one variable is equal to a constant times
another variable, with no additions or subtractions alongside
If y is directly proportional with x, then
- y ∝ x
- y = k x, where k is the constant of variation
- The graph of the variation is a line passes through the origin
∵ The weight of air is directly proportional to its volume
∴ The weight (w) ∝ the volume (v)
∴ w = k v
∵ w = 13 kg
∵ v = 10 m³
- Substitute these values in the rule of variation above to find k
∴ 13 = k (10)
∴ 13 = 10 k
- Divide both sides by 10
∴ k = 1.3
The constant of variation is 1.3 kg per m³
Learn more:
You can learn more about direct and inverse proportion in brainly.com/question/10708697
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Answer:
20
Step-by-step explanation:
it is 20
The answer is (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60).
Remember that :
<u>(f . g)(x) = f(x) × g(x)</u>
<u />
Hence :
- (f . g)(x) = (2k³ + k² + 3)(-17k⁵ - 20)
- (f . g)(x) = -34k⁸ - 17k⁷ - 17k⁵ - 40k³ - 20k² - 60
- (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60)
Not equal !! i hope this helped :))
I think there is only one point x = -1.
Are you sure it's not x^2 + 1 = 0, if you had this equation the two points will be -1 and 1.
Or the equation was something like: x+1 =y?
If the equation is x+1=y.
First point: (-1,0)
Second point: (0,1)
//Hope this is what you are looking for. Sorry if it's incorrect.