Answer:
n x p = c
Step-by-step explanation:
n is the amount of pens so we time it by the cost of 1 pen which is p and the final answer is c as the cost of all the pen.
You would say that you substitute the n for the colum of n's from the chart. For example f(n) = 4(1) - 1, which is 3 and to the right f(n) is three.
Answer:
x = 15, y = 4
Step-by-step explanation:
To solve this, we have to define the triangles first. Since the triangles are congruent by HL, it means that the hypotenuse and the leg of the triangle are defined to be equal. By flipping one of the triangles upsidedown, we can visualize the hypotenuse of the triangles and the leg of the triangles (which are equal).
The two equations are the following:
![x + 1 = 4y](https://tex.z-dn.net/?f=x%20%2B%201%20%3D%204y)
![x = y + 11](https://tex.z-dn.net/?f=x%20%3D%20y%20%2B%2011)
If I add 1 to both sides of the second equation, I get the following equation:
![x + 1 = y + 11 + 1 = y + 12](https://tex.z-dn.net/?f=x%20%2B%201%20%3D%20y%20%2B%2011%20%2B%201%20%3D%20y%20%2B%2012)
By comparing this new equation with the first one, we will get:
![x + 1 = 4y = y + 12](https://tex.z-dn.net/?f=x%20%2B%201%20%3D%204y%20%3D%20y%20%2B%2012)
We can ignore x+1 for now since y can not be solved.
![4y = y + 12](https://tex.z-dn.net/?f=4y%20%3D%20y%20%2B%2012)
By subtracting both sides of this equation by y, we will get.
![3y = 12](https://tex.z-dn.net/?f=3y%20%3D%2012)
This solves for y, where
![y = 4](https://tex.z-dn.net/?f=y%20%3D%204)
Now, we can re-use one of the equations, which is
![x = y + 11](https://tex.z-dn.net/?f=x%20%3D%20y%20%2B%2011)
Now that we know y is 4, we can plug it into this equation.
![x = 4 + 11 = 15](https://tex.z-dn.net/?f=x%20%3D%204%20%2B%2011%20%3D%2015)
Answer:
c
Step-by-step explanation: