How does the graph of y = 3x compare to the graph of y = 3–x?
2 answers:
<h2>Answer and explanation:</h2>
In this problem, we have two functions. Let's call the first functions as:
and the second function:
So we can compare this functions as follows:
- f(x) has a positive slope while g(x) has a negative slope.
- f(x) passes through the origin of the system of coordinates while g(x) cuts the y-intercept at
- g(x) has an x-intercept at
while f(x) cuts the origin.
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Answer:
20 gallons of the 40% solution, 60 gallons of the 80% solution
Step-by-step explanation:
Let x = the gallons of the 40% solution, and y = the gallons of a 80% solution. The first thing we want to do here is to convert each percentage into decimal form - including the 70% solution mixture.
40% = 0.40,
80% = 0.80, respectively 70% = 0.70
As you can tell, 0.40 is associated with x gallons, 0.80 is associated with y gallons, and the mixture contains 0.70 80 solution, as 0.70 is associated with 80. Therefore we can formulate the following expression,
0.40x + 0.80y = 0.70 80
At the same time x + y = 80, as the solution ( mixture ) is present with 80 gallons. Isolating x, x = 80 - y. Let us plug that into our expression, solving for y, following by x gallons.
( Multiply either side by 10 )
( Expand )
( Substitute to solve for x )
As you can see there are 20 gallons of the 40% solution, and 60 gallons of the 80% solution.