Answer:
x = 3
x = 0
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
2x^2 - 6x = 0
Pull out like factors
2x * (x - 3) = 0
Solve: 2x = 0
Divide both sides of the equation by 2:
x = 0
Solve: x-3 = 0
Add 3 to both sides of the equation:
x = 3
Using a linear function, we have that:
a) The amount of water in the aquarium at 0 minutes is of 300 liters.
b) As time increases, the amount of water decreases at a rate of 60 liters per minute.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = ax + b
In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we have that the y-intercept is of 300, hence the amount of water in the aquarium at 0 minutes is of 300 liters.
The amount <u>decreases 60 liters in a minute,</u> hence:
As time increases, the amount of water decreases at a rate of 60 liters per minute.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
Answer:
74800 is the amount of $1700 at the rate of 5.5 for 8 yrs
We observe that 20 is 4 more than twice 8. This suggests the time is 1 hour and the rates are
... scooter: 20 mi/h
... bicycle: 8 mi/h
_____
You can let b represent the rate of the bicycle in miles per hour. Then we have (for time in hours and distance in miles) ...
... time = distance/speed
... time = 20/(2b+4) = 8/b
... 20b = 8(2b+4) = 16b +32
... 4b = 32
... b = 8
The rate of the bicycle is 8 mph; that of the scooter is 2*8+4 = 20 mph.
