Answer:
52 mph
Step-by-step explanation:
1 hour is 60 minutes, 4 times the time period given in the problem. If the speed is constant, the car will travel 4 times the distance in 4 times the time.
... 4 · (13 miles) = 52 miles
The car will travel 52 miles in 1 hour, so its speed is 52 mi/h.
Answer:
![S = \frac{b}{m}](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Bb%7D%7Bm%7D)
Step-by-step explanation:
Given
![Speed = s](https://tex.z-dn.net/?f=Speed%20%3D%20s)
Required
Determine the expression for s
The speed is calculated as:
![Speed = \frac{Number\ of\ books}{Time}](https://tex.z-dn.net/?f=Speed%20%3D%20%5Cfrac%7BNumber%5C%20of%5C%20books%7D%7BTime%7D)
Substitute S for speed
![S= \frac{Number\ of\ books}{Time}](https://tex.z-dn.net/?f=S%3D%20%5Cfrac%7BNumber%5C%20of%5C%20books%7D%7BTime%7D)
Let the number of books be b and the time be m.
The expression becomes
![S = \frac{b}{m}](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Bb%7D%7Bm%7D)
Hence, the expression for the scenario is:
![S = \frac{b}{m}](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Bb%7D%7Bm%7D)
Answer:
Amaia walked 28 meters
Step-by-step explanation:
So first we know that the side x+3 is equal to the side 3x+1
subtract 1 and x from both sides to get x=1
then we plug in the 1 to the equation x+9 and we know that side equals 10, meaning the parallel side is also 10.
plug in 1 to one of the original equations to get 4
4+4+10+10=28
Answer:
![g(x) = -3x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-3x)
Step-by-step explanation:
Given
![f(x) = 3x](https://tex.z-dn.net/?f=f%28x%29%20%3D%203x)
Required
Reflect over ![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
This means that we reflect over the x-axis
And the rule of reflection is:
![(x,y) \to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C-y%29)
Hence:
![f(x) = 3x](https://tex.z-dn.net/?f=f%28x%29%20%3D%203x)
Will become:
![g(x) = -f(x)](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-f%28x%29)
So, we have:
![g(x) = -3x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-3x)