Answer:
y=3x
Step-by-step explanation:
In this case, the ratio between sugar and water is 0.5 : 1.5 or 1 : 3.
That means that you need three cups of water for every cup of sugar.
In order to put this into an equation, the slope would be 3/1 or simply 3, and the y-intercept is 0. Even if you used the 0.5 : 1.5 ratio, the slope would be the same since 1.5 / 0.5 = 3.
Answer:

Step-by-step explanation:
Given
Options (a) to (d)
Required
Which represents an arrow pointing left
When an arrow points left on an inequality graph, the inequality is either of the following:
or 
From the given options (a) to (d), only
fits the above description.
Other options illustrate an arrow pointing to the right
To further explain this;
Looking at (b), we have:

This is rewritten as:
--- the same form as (c) and (d)
Answer:
Domain: {-3, -1, 1}
Range: {-1, 2, 4, 5}
Step-by-step explanation:
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:

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:

So, we have the following system


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?


I am going to write y as a function of x in 1), and replace in 2). So:
means that 






Now, going back to 1:

He should plant 100 acres of corn and 400 acres of wheat.
Answer:
Step-by-step explanation:
x=3 and x=-4 are parallel, vertical lines
:::::
x-y = 3, slope = 1
2x-2y = 10, slope = 1
Parallel lines