Ava will have 4 cupcakes because Emme is 3x and Ava is 1x. 4x will be equal to 16. 16 divided by 4 is 4 so Ava has 4 and Emme has 12.
~JZ
I hope you understand this. Remember x alone stands for 1
Using linear functions, it is found that the two planes will be at the same altitude in 7 minutes.
<h3>What is a linear function?
</h3>
A linear function is modeled by:
In which:
- m 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.
For the first plane:
- Initial altitude of 1000 meters, hence
.
- Ascending t a rate of 400 meters per minute, hence
.
Hence, the equation is:
![y_1(x) = 400x + 1000](https://tex.z-dn.net/?f=y_1%28x%29%20%3D%20400x%20%2B%201000)
For the second plane:
- Initial altitude of 5900 meters, hence
.
- Descending t a rate of 300 meters per minute, hence
.
Hence, the equation is:
![y_2(x) = -300x + 5900](https://tex.z-dn.net/?f=y_2%28x%29%20%3D%20-300x%20%2B%205900)
They will be at the same altitude at the value of x for which:
![y_1(x) = y_2(x)](https://tex.z-dn.net/?f=y_1%28x%29%20%3D%20y_2%28x%29)
Hence:
![400x + 1000 = -300x + 5900](https://tex.z-dn.net/?f=400x%20%2B%201000%20%3D%20-300x%20%2B%205900)
![700x = 4900](https://tex.z-dn.net/?f=700x%20%3D%204900)
![x = \frac{4900}{700}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4900%7D%7B700%7D)
![x = 7](https://tex.z-dn.net/?f=x%20%3D%207)
The two planes will be at the same altitude in 7 minutes.
To learn more about linear functions, you can take a look at brainly.com/question/25823744
Answer:
-2
Step-by-step explanation:
The midpoint is the average of the end point coordinates, so ...
4 = (y +10)/2 . . . . the y-coordinate is the average of the y-coordinates
8 = y +10 . . . . . . . multiply by 2
-2 = y . . . . . . . . . . subtract 10