The y intercept of 4 means the graph crosses the vertical y axis at 4. More specifically this location is (0,4)
Start at (0,4) and move down 5 units and then move to the right 1 unit. You should arrive at (1,-1). The movement rule of "down 5, over to the right 1" is taken exactly from the slope of -5 = -5/1.
After plotting the two points (0,4) and (1,-1), draw a straight line through them both. Extend this line as far as you can in either direction. The graph is now completed.
<h3>In summary, this line goes through (0,4) and (1,-1)</h3>
Side note: The equation of this line is y = -5x+4. It is in slope intercept form.
If it is 40% off, it is selling at 60% of it original price.
The sales price is $48
60% = 58
1% = 58 ÷ 60 = 0.93
100% = 0.93 x 100 = $93
The original price is $93
I wish I could help but I didn’t learn that
Answer:
Step-by-step explanation:
For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.
The amount of alcohol in the mix is ...
0.22x +0.10(4.8-x) = 0.12(4.8)
Eliminating parentheses, we have ...
0.22x -0.10x +0.10(4.8) = 0.12(4.8)
Subtracting (0.10)(4.8) and combining x-terms gives ...
0.12x = 0.02(4.8)
x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient
The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.
