Answer:
x = 1
Step-by-step explanation:
8 -(x+5) = 5x - 3
-(x+5) ---> -1 (x +5) = -x - 5
8 - x - 5 = 5x -3 8 - 5 = 3
-x + 3 = 5x - 3
+x +x
3 = 6x - 3
+3 +3
6 = 6x
/6 /6
<u>x = 1</u>
Answer:
Part A: YES, it is.
Part B: the amount of pumpkin picked and the amount of fertilizer applied.
Step-by-step explanation:
Part A:
The closer the correlation coefficient is to 1, the stronger the relationship between two variables, and vice versa. Also, the closer the data points are on a scatter plot, the closer the correlation coefficient is to 1.
The scatter plot shown indicates a positive correlation between number of days and number of pumpkins. However, the data points are to some extent farther apart from each other. This shows a moderate relationship between the two variables. Therefore, a correlation coefficient, r, of 0.51 that was calculated can be concluded to be accurate , because an r of 0.51 depicts a moderate relationship between two variables.
Part B:
A variable that could affect the number of pumpkins picked could be amount of fertilizer applied, instead of the day in October. Thus, we can compare the amount of pumpkin picked and the amount of fertilizer applied.
Answer: y = 3x/4 + 22
Step-by-step explanation:
The equation of line l is -3y + 4x = 9
-3y + 4x = 9
3y = 4x -9
y = (4x -9)/3= 4x/3 - 3
From the slope-intercept equation,
y = mx +c
Where m= slope
Comparing both equations, we have
m = 4/3
If the new line that parallel to line l, that means they have the same slope
So, slope if new line is 3/4.
Points =(-12, 6)
From y = mx + c
x = -12,y = 6
6= 4/3 × -12 + c
6 = -16 + c
c = 6 + 16 = 22
Therefore
The equation of the line that is parallel to line l and passes through the point (-12,6) ,
y = 3x/4 + 22
