Answer: −0.147540984 or 1.911885246
Answer:
x = 1/3
Step-by-step explanation:
3(x – 1) – 2(2x + 1) = 8(x – 1)
Distribute
3x-3 -4x-2 = 8x-8
Combine like terms
-x-5 = 8x-8
Add x to each side
-x+x-5 =8x+x -8
-5 = 9x-8
Add 8 to each side
-5+8 = 9x-8+8
3 = 9x
Divide by 9
3/9 =9x/9
1/3 =x
We are asked to transform the given equation into slope intercept form. The given expression is 2-3y+6x=0. To do this, we need to remember the slope-intercept form is below:
y = mx + b where "m" represents the slope and "b" represents the y-intercept
The solution of the problem is shown below:
2 - 3y + 6x = 0 ,transpose -3y to the opposite side such as:
2 + 6x = 3y , re-arranging the given we have:
3y = 6x + 2 , divide both sides by 3 such as:
3y/3 = (6x +2) / 3
y = 2x + 2/3 where m = 2 and b = 2/3
The answer is y = 2x + 2/3.
Answer:
C. The equation x = 50y represents this situation.
Step-by-step explanation:
Let's examine each statement given and determine if it is correct or not correct based in the information given to in the graph.
Statement A: "The point (2, 100) means that there are 100 pounds of wild rice in 2 bags."
✅This is CORRECT because from the graph, on the x-axis (number of bags), when x = 2, y on the y-axis (pounds of wild rice) is 100.
Statement B: "The data represents a proportional relationship".
✅This is CORRECT because a graph that shows a proportional relationship between x and y, has a line that cuts through the point of origin (0, 0).
Statement C: "The equation x = 50y represents this situation".
❌This is NOT CORRECT. The equation does not represent a proportional relationship between x and y. The correct equation should be y = 50x. Where 50 is the constant of proportionality. That is y/x.
Statement D: "The constant of proportionality is 50."
✅this is CORRECT because constant of proportionality = y/x = 100/2 = 50.