Answer: 10 x -5 - 2 x 4 = -58
Step-by-step explanation: the z from the 10 z becomes -5 and the x becomes 2 and the y becomes 4 simply just answer it
The value fo k is
![\frac{13}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%7D%7B2%7D%20)
. This is because c, the constant, is the y-intercept. The graph shows where the line intersects the y-axis, which is -3. So you substitute -3 with c. To find the value of k, plug in the coordinate with the x and y values and then solve for k.
t the other one is marking my answer as brainlest answer please then I will also follow you all the questions and.
Answer:
He should plant 100 acres of corn and 400 acres of wheat.
Step-by-step explanation:
This problem can be solved by a siple system of equations.
]x denotes the number of acres of corn
y denotes the number of acres of wheat
Building the system:
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:
![x + y = 500](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%20500)
The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:
![42x + 30y = 16,200](https://tex.z-dn.net/?f=42x%20%2B%2030y%20%3D%2016%2C200)
So, we have the following system
![1) x + y = 500](https://tex.z-dn.net/?f=1%29%20x%20%2B%20y%20%3D%20500)
![2) 42x + 30y = 16,200](https://tex.z-dn.net/?f=2%29%2042x%20%2B%2030y%20%3D%2016%2C200)
If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?
![1) x + y = 500](https://tex.z-dn.net/?f=1%29%20x%20%2B%20y%20%3D%20500)
![2) 42x + 30y = 16,200](https://tex.z-dn.net/?f=2%29%2042x%20%2B%2030y%20%3D%2016%2C200)
I am going to write y as a function of x in 1), and replace in 2). So:
means that ![y = 500-x](https://tex.z-dn.net/?f=y%20%3D%20500-x)
![42x + 30y = 16,200](https://tex.z-dn.net/?f=42x%20%2B%2030y%20%3D%2016%2C200)
![42x + 30(500-x) = 16,200](https://tex.z-dn.net/?f=42x%20%2B%2030%28500-x%29%20%3D%2016%2C200)
![42x + 15000 - 30x = 16,200](https://tex.z-dn.net/?f=42x%20%2B%2015000%20-%2030x%20%3D%2016%2C200)
![12x = 1,200](https://tex.z-dn.net/?f=12x%20%3D%201%2C200)
![x = \frac{1,200}{12}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%2C200%7D%7B12%7D)
![x = 100](https://tex.z-dn.net/?f=x%20%3D%20100)
Now, going back to 1:
![y = 500 - x = 500 - 100 = 400](https://tex.z-dn.net/?f=y%20%3D%20500%20-%20x%20%3D%20500%20-%20100%20%3D%20400)
He should plant 100 acres of corn and 400 acres of wheat.
these numbers can’t go into each other so therefore the answer is not possible