How do we solve an equation with variables on both sides
1 answer:
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Answer: The mass of each passenger is 550 kg.
The mass of front decoration = 200 Kg.
Step-by-step explanation:
Let the mass of each passenger be 'x'.
Let the mass of front decoration be 'y'.
So, Number of passenger = 6
Mass of 6 passengers and front decoration = 3500 kg.
Number of passengers = 4
Mass of 4 passengers and front decoration = 2400 kg.
According to question, it becomes,
so, From Eq(1) and Eq(2), we have,
Hence, the mass of each passenger is 550 kg.
The mass of front decoration = 3500-550(6)=200 Kg.
Answer:
a. Domain: (-∞, ∞)
Range: (0,∞)
b. Domain: (-∞, ∞)
Range: (0,∞)
c. Domain: (-∞, ∞)
Range: (-∞,0)
d. Domain: (-∞, ∞)
Range: (-∞,0)
e. Domain: (-∞, ∞)
Range: (0,∞)
Step-by-step explanation:
These equations are all exponential functions. Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. None of these have that and their y - values remain between 0 and ∞. This is the range, the set of y values.
However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. C and D have this. Their range is (-∞, 0)
In exponential functions, the x values are usually not affected and all are included in the function. Their domain is (-∞, ∞). All of these equations have this domain.
a. Domain: (-∞, ∞)
Range: (0,∞)
b. Domain: (-∞, ∞)
Range: (0,∞)
c. Domain: (-∞, ∞)
Range: (-∞,0)
d. Domain: (-∞, ∞)
Range: (-∞,0)
e. Domain: (-∞, ∞)
Range: (0,∞)