Any graph will represent a function if it passes the vertical line test. A graph is a function if for any vertical line drawn it touches the graph at only one point.In other words for every x there is only one y value.
In the given graphs if a vertical line is drawn in the graphs A,B it will touch the graph at two points and hence they are not unctions.Option c s a vertical line that is for one x value there are more than one value of y and so is not a function.Option D will represent a function as any vertical line drawn will touch the graph at only one point.
OPtion D.
I am not sure what the six-step method looks looks like but if you use x gallons of 60% solution
the amount of antifreeze in the mixture = 0.6x + 8 gallons
This needs to be 50% of the total quantity in the mixture, x + 80
0.6x + 8 = 0.5(x + 80)
0.6x + 8 = 0.5x + 40
0.6 - 0.5 = 40 - 8
0.1x = 32
x = 32 x 10 = 320 gallons
Answer:
-1 < x < 4
Step-by-step explanation:
First separated the compound
-14 < 4x - 10
4x - 10 < 6
Then solved for each
-14 < 4x - 10
-4 < 4x
-1 < x
4x - 10 < 6
4x < 16
x < 4
Then put the inequality together (if applicable)
-1 < x < 4
The answer would be 5,400 ( 3000 times 0.15 would be 450 then, 450 times 12 is 5,400.)
Answer:
2(s + 5) = 2s + 10, not 2s - 10
2s - 10 = 2s + 10
