X2+ 10x +24 Ac Method
1 answer:
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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.
Answer:
Use, y = 3x-3, it might be easier to graph
Step-by-step explanation:
You can convert this equation into slope-intercept for to gramph.
y = (x – 3)2 + 3
y = 3x-6+3
y = 3x-3
Answer:
Step-by-step explanation:
The slope of a line can be seen as:
Rise over run is the change in the y values over the change in x values. For example, in this graph, you would start on one of the points given. From there, you would move up first. After moving up a certain number of spaces, you would move to the side until you reach the other point.
In the graph, you would move up until you are in line with one of the other points. Starting at (-4,5), move up one space, then to the left 4 spaces to reach the point (0,6). Using the spaces moved in the rise over run:
Therefore, the slope is .
This is true for any two points on the line.
:Done
*When you move up, the number will be positive . If you move down, the number will be negative
. If you move left, the number will be positive
. If you move right, the number will be negative
. Keep this in mind. It is very important.
**Always <em>move along the y-axis first</em>, then move along the x-axis. If you do it the other way, the slope will be wrong.
