Answer:
4
Step-by-step explanation:
We know that the ride that Rohan wants to take lasts for 3 minutes, and goes up to maximum speed of 75 miles per hour
We have to find the domain and range
Domain: all possible values of the independent variable
Range: all possible values of the dependent variable
In this situation, the independent variable is time and the dependent variable is speed
Hence,
Domain = [0,3] minutes
Range = [0,75] miles per hour
Sin and cos functions can never be equal to 5. They can never be greater than 1! Both!
You can think of sin and cos functions as projections (that is how i do). Imagine xy coordinate system. Draw a circle which center (center of circle) is in center of xy coordinate system. Let radius of that circle be one (you can take one to be any length you want).
Now, x - axis and any radius of that circle make an angle.
NOW HERE IS IMPORTANT PART:
-projection of that radius on x-axis is cosine of the angle that radius and x-axis make.
-projection of that radius on y-axis is sinus of the angle that radius and x-axis make.
From that you can see that projections cannot ever be greater than 1.
The rental cost for each movie would be $3.50, and the rental cost for each video game would be $5.25.
If movies are 'm', and video games are 'v', we can write a set of simultaneous equations to solve:
8m + 4v = 49
3m + 2v = 21
We can solve using elimination, and multiply the second equation by 2 to get 6m + 4v = 42, and then subtract:
8m + 4v = 49
- 6m + 4v = 42
= 2m = 7
÷ 2
m = 3.5
Now we can substitute in 'm' as 3.5 to find 'v':
(3 × 3.5) + 2v = 21
10.5 + 2v = 21
- 10.5
2v = 10.5
÷ 2
v = 5.25
I hope this helps!
