Answer:
Step-by-step explanation:
Let the speed of the car is x, then the speed of motorcycle is x + 20
The distance = 120 km
<u>Time:</u>
- 120/x = 120/(x + 20) + 1
- 120(x + 20) = 120x + x(x +20)
- 120x + 2400 = 120x + x² + 20x
- x² + 20x = 2400
- x² + 2*10x + 10² = 2500
- (x + 10)² = 50²
- x + 10 = 50
- x = 40
Speed of the car is 40 km/h
Speed of the motorcycle is 60 km/h
Answer:
7
Step-by-step explanation:
In general, the point of an inverse function is to show you the value that gives a particular function value. That is, ...
![f^{-1}(22)=7\\\\f^{-1}(f(x))=x\\\\f^{-1}(f(7))=7](https://tex.z-dn.net/?f=f%5E%7B-1%7D%2822%29%3D7%5C%5C%5C%5Cf%5E%7B-1%7D%28f%28x%29%29%3Dx%5C%5C%5C%5Cf%5E%7B-1%7D%28f%287%29%29%3D7)
You have to divide both sides by 12 so 12f/12 =24/12 is f = 2
Answer:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45
Step-by-step explanation:
The range of the function is {-34, -2, -20}
<h3>How to determine the range?</h3>
The function is given as:
f(x) = -2x^2 - 2
The domain is {-4, 0, 3}
Substitute the domain values in the function.
f(-4) = -2(-4)^2 - 2 = -34
f(0) = -2(0)^2 - 2 = -2
f(3) = -2(3)^2 - 2 = -20
This means that the range of the function is {-34, -2, -20}
Read more about range at:
brainly.com/question/10197594
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